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90,93,95,97,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,153,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,181,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,203,205,206,208,209,212,214,215,218,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,289,290,291,292,293,295,296,297,298,299,301,303,304,305,308,309,310,312,313,314,315,318,319,320,321,322,323,324,325,326],Their:313,Then:[9,20,26,71,72],There:[15,164,170],These:[1,3,8,11,15,25,206,217,219,220,242,288],To:[0,5,7,8,9,10,11,12,13,14,15,16,17,18,24,25,32,42,50,56,58,59,60,76,93,97,149,165,167,168,169,185,187,199,204,205,206,207,214,218,239,246,251,261,289,290,311,313,314,326],With:[0,2,3,7,8,9,10,24,215,217,218,326],_0:[8,170,304],_2:[8,32,35,76,149,279],_:[9,10,12,13,14,15,17,24,79,112,170,212,225,304],__bool__:1,__iadd__:[168,294,311],__iadd___dg:294,__init__:[10,325],__mul__:17,__mul___dg:17,_depth:56,_i:170,_n:[14,314],a3:67,a_1:67,a_2:67,a_:67,a_j:67,a_x:[166,189,198],aaaaaaaaaaa:291,aaaaand:14,aaaargh:215,aaand:10,ab:292,abitrari:18,abl:[3,5,9,81,205,215,310],abmeldung:5,about:[0,2,3,5,7,9,10,11,14,15,17,18,21,22,25,29,73,89,96,121,168,214,215,218,235,248,251,261,296,322,326],abov:[0,5,7,8,9,10,11,14,16,18,21,70,80,149,170,187,212,214,215,218,314,326],absenc:5,absract:8,abstract_p_g:101,abstract_paramet:[97,109],abund:298,abus:[15,23],accept:[1,2,5,24,34,35,36,37,38,39,40,42,43,44,45],access:[0,1,3,5,14,80,81,83,93,168,197,218,251,293,314,326],accident:5,accomod:295,accord:[5,7,8,9,14,17,58,59,70,149,190,210,279],account:[4,7,9],accur:5,accuraci:5,achiev:[0,2,7,14,15,17,18,21,24,165,169,170,177,198,203,205,218,251,261,325,326],ackquir:11,aclcostfct:[65,212],acquaint:16,acquir:[3,14,70,97,125,176,199,205,206,223,289],across:[8,15,203],act:[5,7,8,14,17,20,26,40,65,170,189,212,235,245],action:[8,10,12,13,42],activ:[0,5,7,102,130,218,251,252,291,326],actual:[5,8,9,10,15,169,170,310],ad:[1,3,9,10,15,95,106,107,196,206,215,228,234,236,245,261],adag:212,adapt:[3,12,13,212],adaptive_control_funct:229,add:[7,9,12,13,94,97,98,106,107,187,196,205,206,212,223,228,229,234,236,261,271,273,314,317],add_clbit:94,add_edges_from:[8,9,10,55,56,58,59,60,61,212],add_nodes_from:10,add_qubit:98,adder:[3,14,18,22,25,217,228,234,236,245,259,261,314],addit:[5,9,10,15,23,25,28,80,166,170,185,228,234,236,242,245,251,254,261,271,290,295,313,314,320],addition:[8,21,32,76,203,212],address:[0,1,5,14,78,79,218,297,298,326],addtion:313,adher:93,adjac:[10,68,69,212],adjanceci:15,adjust:[9,212,246],administr:5,admit:[9,320],ado:10,adress:[0,218,297,298,326],advanc:[0,1,16,18,166,215,218,242,296,314,326],advantag:[0,10,170,192,215,218,242,261,290,314,320,326],aer:[18,79,80,82,83,93,183],aerbackend:[80,93],affair:[0,18,218,326],affect:315,aforement:10,after:[3,5,7,8,9,10,11,12,13,14,15,16,20,24,26,29,31,63,73,75,80,81,94,168,169,170,173,176,189,192,197,204,205,212,215,251,289,293,304,305,311],afterward:[15,71,72,157,170,203,205,294],ag:212,again:[3,8,9,11,14,15,16,38,166,170,185,254,283,313],against:5,agre:289,ah:11,aim:[0,3,14,18,218,326],ain:9,aka:[9,10,21],aknowledg:[0,218,326],al:[3,20],albeit:215,alert:9,algebra:[0,218,326],algorithm:[0,1,4,6,8,9,10,11,12,13,15,16,18,19,20,23,24,26,35,46,47,56,77,81,93,110,130,166,169,170,199,202,203,206,212,214,217,218,235,239,242,250,251,261,288,290,292,295,314,326],alia:[134,153,290,291,294],alic:[168,214,215,297,299,300,301,302,303,304,305,308],alice_1:168,alice_cli:[301,302,305],alice_qc:214,alice_r:214,alice_sess:[299,308],align:[7,8,11,14,18,24,149,170],alik:170,aliv:1,all:[5,7,8,9,10,11,12,13,16,17,24,50,67,68,69,71,72,80,97,109,130,166,168,170,172,177,185,206,207,212,239,245,256,289,290,296,298,299,300,301,313],alle:5,alloc:[7,15,18,28,34,170,185,261,295,320],allow:[0,1,2,3,5,7,8,9,10,12,13,14,15,16,17,18,21,22,23,24,25,28,32,40,56,61,65,76,78,79,81,82,83,93,164,165,166,168,169,170,174,185,188,194,199,203,206,207,215,218,221,229,235,242,256,261,292,293,294,296,297,299,300,304,310,313,314,326],almost:[3,8,312],along:[10,12,13,16],alot:[17,251],alpha:[12,13],alphons:98,alreadi:[7,8,9,10,11,12,13,14,21,24,55,72,180,204,212,261,300,304],also:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,21,24,28,32,43,55,71,72,76,80,81,93,125,164,165,166,167,170,174,185,187,204,215,218,235,242,251,261,289,290,293,295,299,310,311,313,314,315,326],alter:5,altern:[5,8,11,21,24,80,93],alwai:[7,12,13,14,15,24,206,207,214,251],ambigu:[17,170,304],amend:310,ami:251,among:[8,32,76],amont:62,amount:[3,7,9,10,15,17,23,24,26,27,28,32,35,50,51,54,56,61,70,76,77,79,82,90,96,97,102,104,115,125,131,132,136,168,170,176,182,184,185,188,196,197,206,207,215,239,251,252,254,295,303,313,318,320],amphitheatr:5,amplif:51,amplifi:[15,17],amplitud:[3,17,43,51,144,178,187,199,205,325],amplitude_amplif:[3,26],amtsgericht:5,an:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,43,44,46,48,49,50,52,55,63,65,67,73,74,76,77,79,80,82,89,93,94,96,97,101,102,108,112,120,128,130,138,141,142,149,151,153,161,164,165,166,167,168,170,171,175,178,182,185,186,187,189,191,192,194,197,202,203,204,209,215,217,218,225,228,235,236,239,240,241,242,243,245,246,247,249,251,256,261,263,264,265,266,267,268,269,276,279,282,284,285,289,290,291,294,296,299,300,304,305,310,313,314,317,318,322,326],analog:[8,212],analysi:215,analyz:[67,169],ancilla:[3,7,17,19,71,72,102,185,206,215,251,252,295],angewandten:5,angl:[7,9,12,13,20,116,126,133,137,138,139,140,141,158,161,205,227,264,265,266,267,268,282,285],ani:[3,5,7,8,10,12,13,14,24,66,71,80,93,95,111,134,157,167,169,170,182,185,203,212,215,221,242,249,250,256,288,294,313,318],anneal:11,annot:[235,302,305],announc:18,anoth:[0,3,5,7,8,9,10,14,15,17,34,42,97,108,121,169,176,185,190,192,198,202,205,218,251,263,290,295,302,304,305,308,313,326],ansatz:[11,21],answer:215,anymor:[17,18,178,194,198,199],apart:[7,9,16,18,21,251,261,289,311],api:18,api_endpoint:[78,80,85],app:[5,80],app_phase_funct:205,appear:[8,9,17,24,62,187,290,295],append:[15,18,24,95,96,97,102,153,157,164,169,202,204,206,235,293,296],appendic:9,appendix:[12,13],appli:[3,5,7,8,9,10,12,13,14,15,17,20,21,22,23,24,29,30,31,32,50,52,63,65,67,68,69,70,71,72,73,74,75,76,93,94,96,108,116,126,127,128,133,137,138,139,140,141,142,143,146,147,148,150,158,159,160,161,162,163,165,166,169,176,189,192,197,202,205,207,209,212,214,217,223,224,226,227,230,231,232,233,237,238,239,240,241,243,247,250,251,252,255,256,264,265,266,267,268,269,270,274,275,276,277,278,280,282,284,285,286,287,289,304,314],applic:[0,1,7,8,9,10,13,15,17,18,55,102,104,105,167,203,204,217,218,223,247,288,289,314,326],apply_channel_propag:8,apply_cost_oper:9,apply_mix:9,apply_multi_var_hamiltonian:[205,223],apply_p_lay:9,apply_phase_if_eq:[10,212],apply_xy_mix:[10,212],apporach:[0,218,326],apprais:9,approach:[8,9,10,14,15,17,18,24,169,212,215,296],appropri:[80,93],approv:5,approx:[7,14,26,215],approx_r:56,approx_ratio:[9,56,58,60],approxim:[4,7,8,9,12,13,14,17,20,32,56,58,76,149,217,258,259,262,313],apr:[258,259,262],ar:[0,1,3,5,7,8,9,10,11,12,13,14,15,17,18,21,24,25,32,36,42,50,56,61,63,67,68,69,70,71,72,76,79,80,90,94,96,97,98,102,108,109,112,115,120,128,129,149,157,164,165,166,167,168,169,170,172,176,178,181,185,186,187,191,192,194,195,196,198,199,201,203,205,206,207,212,214,215,217,218,223,225,229,235,239,245,248,249,250,251,252,256,257,259,260,261,274,289,292,293,296,298,299,300,304,311,312,313,314,320,326],arang:[15,27,52,206],arbitrari:[0,1,2,7,8,14,24,32,49,52,76,164,168,178,199,205,214,215,218,223,258,259,290,305,313,326],architectur:[2,7,8,9,93,149,164,215,310],aren:[15,300,304],arg:[20,23,26,152,228,235,236,238,240,244,248,289,290],arg_0:235,arg_1:235,argument:[1,2,9,10,11,15,17,20,23,25,26,32,36,50,51,61,62,63,65,76,95,157,170,176,179,185,197,200,206,212,223,235,239,261,263,265,268,289,290,319,320,325],aris:[5,7,188],arithmet:[2,4,7,14,17,18,165,166,170,203,215,216,281,288,290,308,313,314],around:[1,8,9,11,16,31,75],arrai:[10,11,15,24,70,104,125,144,165,171,172,173,175,176,177,178,180,187,203,204,205,206,209,211,216,247,274,281],arriv:149,art:[0,16,218,326],articl:[5,14,251,313],arxiv:[50,239,292],as_hamiltonian:[8,15,205,206,217],ashlei:24,asid:5,ask:[5,9,215],aspect:[0,2,21,24,170,218,326],ass:5,assembl:[0,218,326],assert:[5,9],assess:15,assig:24,assign:[1,7,9,24,67,70,71,72,80,203,212],associ:[5,70,80,81,204,212],assort:[9,10],assum:[5,8,14,57,78,121,149,167,170,199,212,235,301,309],assumpt:[3,18,206],asterisk:7,astyp:209,aswel:70,asymmetr:14,atleast:72,attack:5,attempt:[192,249,256,257,283],attent:[9,80],attract:5,attribut:[1,17,24,40,43,54,95,96,97,98,168,203,293,296,309,314],attributeerror:102,audienc:[0,18,218,326],augusta:5,author:[5,9,170],auto:[102,185,250,251,252],auto_uncomput:[8,15,17,24,32,36,37,38,39,40,42,43,44,45,76,170,203,206],autocrlf:80,autom:[0,5,18,168,169,170,185,203,218,261,326],automat:[3,5,7,15,16,17,18,149,167,168,169,170,185,202,203,235,246,248,251,260,261,274,289,311],av:5,avail:[0,3,5,9,10,24,61,63,80,93,102,165,166,181,185,187,203,204,218,250,251,252,259,288,305,326],avali:165,averag:[3,9,15,206],average_repetit:58,avers:8,avial:56,avoid:[9,18],awai:[0,16,28,218,326],await:[1,7,170],awar:[7,170,185],awesom:[8,47,49,215],ax:281,axel:5,axi:[9,29,73],b:[5,7,8,9,12,13,17,18,97,109,169,170,185,202,205,212,223,228,229,233,234,235,236,245,261,263,281,289,296,312,313,314],b_j:67,b_l:67,baci:215,back:[11,17,242,314],backend:[0,2,3,7,11,14,17,18,25,46,47,54,56,61,78,79,81,82,83,89,90,136,167,169,176,183,185,197,218,254,303,304,326],backend_provid:93,backendcli:[0,46,47,80,136,176,183,197,218,254,326],backendserv:[0,78,218,326],backendstatu:89,background:[11,214,297,298,299,300,302,303,304,305,308],backtrack:[4,18,36,37,38,43,45,51,290],bad:[7,20,21,26,295],badli:166,balauca:[3,250,251,252],balauca_dirti:1,bank:5,bar:5,bare:221,barrier:[0,9,218,326],base:[5,12,13,15,18,24,50,68,69,80,93,126,149,166,170,175,177,198,206,207,210,212,223,228,234,236,239,251,261,271,272,273,292,294,296,314,320],baseclass:[0,218,296,326],bash:80,basi:[5,8,11,12,13,15,17,102,157,174,185,189,194,205,223,256,260,291],basic:[2,7,13,14,15,16,17,18,21,80,96,192,212,310,325],basis_g:[157,197],batch:170,beam:8,beat:261,becaus:[5,7,8,9,11,12,13,14,15,17,39,70,144,149,165,169,170,185,215,221,229,242,251,290,296,311,313,314],becom:[7,16,18,126,261],beem:80,been:[0,5,6,7,8,9,14,15,21,24,50,56,57,78,169,170,173,180,185,204,207,212,215,218,239,263,290,293,295,296,301,304,309,311,326],befor:[5,7,9,10,12,13,15,16,80,120,170,176,185,186,197,206,223,261,290,295],beforehand:207,begin:[7,8,11,14,18,24,149,158,170,205,212,313],beginn:16,behalf:5,behav:[42,291,310],behavior:[0,8,15,209,218,235,246,261,310,311,313,326],behind:[16,21,314],behold:9,being:[2,9,10,16,18,203,209,310,322],believ:[0,14,15,218,326],bell:[214,305],bell_pair_0:214,bell_pair_1:214,bell_pair_distributor_:214,bell_pair_qc:214,belong:[5,9,288,300],below:[2,5,9,10,11,14,15,18,21,80,81,93,113,206,212,215],benchmark:[3,7,10,21,24,54,56,57,58,59,60,206,215,295],benchmark_data:[9,54,56,57,58,59,60,61],benchmark_funct:295,benchmark_mcx:251,benefici:[11,170],berlin:[5,18],best:[8,9,10,11,14,212],best_color:[10,212],best_coloring_onehot:10,best_cut:[9,212],best_solut:[9,10,212],best_solution_onehot:10,beta:[8,9,10,12,13,29,30,31,32,33,35,55,73,74,75,76,161,265,268,285],beta_0:[8,62],beta_1:[8,12,13,62],beta_2:62,beta_3:62,beta_4:62,beta_:8,beta_i:8,beta_p:[12,13,21],better:[3,9,11,12,13,15,18,24,61,242,251,313],between:[0,1,8,9,10,11,12,13,15,17,21,24,29,31,66,67,71,72,73,75,167,196,203,206,212,218,242,247,254,274,296,326],big:[8,11,15],bigg:11,biggest:3,bigoplus_:8,bigotimes_:15,binari:[3,8,10,11,15,24,31,67,70,75,212],binary_valu:240,bind:[97,101,109],bind_paramet:[97,204],bipartite_layout:[9,212],birthdai:305,bisschen:14,bit:[1,8,10,14,15,18,22,94,95,96,97,106,108,131,151,164,165,170,182,185,209,251,289,318,320],bitflip:170,bitshap:[260,274],bitshift:[182,313,318,320],bitsr:11,bitstr:[2,11,17,47,49,70,72,79,82,90,93,240,291],black:[10,13],blanklin:[182,318],block:[0,7,9,10,11,12,13,15,17,203,212,218,292,294,296,326],blue:[10,212],blueprint:[11,21,65,80],board:5,bob:[214,215,297,299,302,305,308],bob_client:[302,305],bob_qc:214,bob_sess:[308,309],boil:14,boldsymbol:[12,13],book:[0,218,326],bool:[1,22,23,24,28,36,40,43,50,79,113,120,134,172,173,176,185,186,187,192,193,194,197,201,202,209,234,235,239,240,242,245,246,248,260,261,295,298],boost:[3,292],border:215,borrow:11,both:[0,2,3,8,9,10,11,12,13,15,20,24,93,121,218,251,261,289,313,320,326],bottleneck:[1,3,7,112,149,185,225,295],bound:[12,13,101,109,217],bound_p_gat:101,bound_qc:[97,109,204],boundari:4,box:10,box_of_crayon:10,bra:[8,223],brainer:9,branch:[24,37,38,39,223,289],branch_qa:[24,36,38,39,42,43,45],branch_qf:[36,37,38,39,40,42,43,44,45],branch_qv:24,brassard:20,breakdown:10,brent:261,bridg:[0,218,326],brief:51,bring:[3,8,10,11,15,17,168,174,177,190,194,197,198,205,215,223,242,246,289,294,296],broad:18,broader:[0,12,13,21,218,326],brought:8,browser:5,bruno:5,brute:9,bug:[4,248],buggi:80,build:[3,6,8,9,12,13,14,16,17,93,203,212],built:[7,9,93,185,245,296,325],bullsey:80,bundl:[23,170,235,293],busi:[0,218,326],c:[5,8,10,11,12,13,17,97,109,170,185,205,223,263,290,296,312,313,314],c_:17,c_i:70,c_in:[228,236],c_out:[228,236],ca:5,cach:80,calcul:[9,10,11,14,21,70,104,120,170,185,186,206,258,259,262,288,289,291,294],call:[0,1,2,3,5,7,8,10,11,14,15,17,21,23,24,54,56,58,59,60,61,62,70,93,97,157,165,167,173,175,176,179,185,187,190,192,193,194,197,200,202,203,205,212,215,218,229,249,251,261,290,295,296,299,311,313,314,320,326],callabl:[22,25,54,56,58,60,245],came:170,can:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,17,18,20,21,23,24,25,26,27,28,32,51,56,58,61,65,70,71,72,76,80,82,90,93,95,96,97,108,112,113,126,130,134,144,149,153,157,164,165,166,167,168,169,170,174,175,176,177,183,185,187,192,197,199,203,204,205,206,207,208,209,210,211,212,215,216,217,218,221,223,225,229,235,242,245,247,248,249,251,254,256,260,261,263,274,281,288,289,290,291,292,293,294,295,296,299,302,305,310,311,312,313,314,320,324,325,326],cancel:[1,3,5,24,242,251,260,261],cancel_qft:185,cand:14,candid:14,cannot:[5,10],canon:20,capabl:[0,7,93,217,218,326],captur:3,cardin:[71,72],care:[10,261],career:215,carri:[5,17,96,173,228,236,261],cart:5,categori:[5,288],caus:[1,2,3,32,76,80,192,235,296],cb_0:[82,95,97,251],cb_1:[82,97],cb_2:[82,97],cb_3:97,cb_alice_0:301,cb_bob_0:301,cdot:[12,13,15,170],ceil:[10,15,50,206,207,239],cell:9,central:[0,1,5,14,17,21,24,55,203,218,326],certain:[3,7,8,15,24,170,206,289],certainli:9,ch:223,challeng:[1,7,14,16,25],chang:[5,9,24,185,256,296,313],channel:[10,214],channel_numb:8,charact:[0,205,215,218,289,312,326],charg:5,chat:9,check:[7,8,9,14,15,17,22,23,24,25,28,32,40,41,42,55,56,61,76,113,167,170,172,173,176,177,185,192,197,202,206,215,235,248,251,252,256,261,292,296,299,302,313,314,322],cherri:5,child:[24,296],children:[24,42],chit:9,choic:[3,7,8,10,12,13,183,212],choos:[8,10,14,203,215,314],chose:66,chosen:[1,12,13,15,21,61,63,80,247],chr:312,christma:302,chronolog:4,chuang:14,ciphertext:[46,47,48,49,215],circuit:[0,2,3,4,7,8,9,11,14,17,18,21,23,54,56,62,63,65,67,68,69,70,71,72,79,82,93,97,112,144,149,151,152,154,155,156,167,168,169,170,174,176,183,185,197,203,204,214,216,217,218,225,251,290,292,293,295,296,300,304,310,326],circuit_depth:[54,56,58],circuit_draw:152,circuit_gener:65,circuit_preprocessor:[176,197],circuitri:28,circumv:170,cirq:[80,93],cirtuit:16,cite:5,citi:[15,206],city_amount:[15,206],city_specifier_s:15,cl_accept:36,cl_arrai:165,cl_cost_funct:[8,10,11,55,68,70,71,72,212],cl_factor:242,cl_matrix:274,cl_re:18,cl_route_dist:15,claim:[5,215],classic:[0,1,3,7,8,9,10,11,12,13,14,15,21,24,25,28,35,36,54,55,94,95,96,97,106,108,131,151,164,165,166,168,170,185,203,209,212,214,215,217,218,242,246,251,261,274,289,310,313,326],classicalregist:18,classifi:8,classmethod:[57,122,123,124,190],claus:[67,70],clauses11:70,clausesdecod:70,clbit:[95,96,97,106,108,111,121,131,164,253],clcostfct:[68,70],clean:[9,11,185,251],clear:[8,214,235,260,300],clearer:9,clearli:15,click:5,client:[93,214,297,300,302,303,304,305,310],client_nam:[214,300,304],clifford:7,cliqu:[68,69,212],clone:80,close:[0,5,7,8,14,81,164,215,218,326],closer:9,closest:324,cloud:3,clutter:167,cmd:80,cnot:[3,7,9,15,112,149,170,184,185,225,251,256,261,292],cnot_count:[15,24,206,251],cnot_depth:3,co:[20,26,158,204],cobyla:9,code:[0,2,3,7,8,9,10,11,12,13,14,15,16,17,57,80,82,93,152,167,170,187,208,212,215,218,250,251,261,289,290,292,295,296,325,326],code_int:171,codebas:[0,1,218,326],codec:134,coincid:20,collaps:[17,170,304],colleagu:[12,13],collect:[5,51,54,61],collis:188,colon:20,color:[8,9,12,13,16,21],color_arrai:10,color_list:[10,212],coloring_inst:[10,212],coloring_oper:10,colorless:10,column:[11,170],comand:80,comb:[50,207,239],combin:[9,11,14,15,95,96,164,170,212,216,251],combinator:2,combinatori:[1,8,12,13,24,51],come:[0,7,8,9,10,12,17,21,51,170,195,215,218,251,288,326],command:[17,215,301,304,309],commenc:[9,14],commerci:[5,18],common:[1,14,15,164,229],commonli:[5,17,51,296],commun:[5,80,297,299],commut:[113,170,185,256],compact:[10,221],compani:5,compar:[3,8,9,10,11,14,15,17,24,61,70,113,144,166,185,209,215,251,261,296,313],comparison:[9,10,113,215,311,313],comparison_qbl_0:313,comparison_qbl_1:313,compat:[17,18,93,97,153],compel:5,competitor:3,compil:[0,1,4,8,14,15,16,17,18,21,22,24,54,56,62,102,112,164,170,176,197,203,205,206,215,218,225,235,242,248,251,254,261,292,293,295,296,314,320,326],compilation_kwarg:[176,185,197],compile_circuit:3,compile_mcm:[7,185,215,251,261],compiled_gidney_mcx:251,compiled_gidney_mcx_inv:251,compiled_jones_toffoli:251,compiled_qc:[62,170,185,251,295],complaint:5,complet:5,complex128:1,complex64:[1,104,125,144],complex:[0,2,9,10,12,13,14,15,16,17,43,144,164,199,203,205,218,248,251,293,295,326],compli:[5,304],complic:[14,15,314],compon:[5,12,13,20,24,26,28,35,203],componenet:178,composit:215,comprehens:[51,168],comput:[0,1,3,5,7,8,9,10,11,12,13,14,15,17,18,25,51,93,149,166,170,174,184,189,194,203,205,215,216,217,218,223,225,251,256,260,281,289,291,298,310,326],computation:[8,235],con:15,concaten:315,concept:[0,8,10,12,13,14,15,16,17,170,218,235,248,326],conceptu:[8,15],concern:[5,7,221,296],conclud:[3,7,14,17,24],conclus:[4,5,61,261,290],cond_bool:289,cond_env:311,cond_eval_funct:289,condens:[9,10,212],condit:[0,5,10,15,17,24,205,210,218,223,247,289,296,326],conditionenviron:[0,1,218,229,291,296,326],conditon:289,conduct:[21,80,93],configur:[5,80],confirm:[5,6],congratul:17,conj:290,conjug:[1,8,290],conjugand:290,conjugation_funct:290,conjugationenviron:[2,3,4],conjunct:[0,218,251,326],connect:[0,5,9,24,78,93,214,218,297,299,304,305,308,310,326],conquer:10,consent:5,conserv:149,consid:[7,10,14,15,20,24,25,67,70,71,72,80,170,206,212,251],consider:[7,16,17,185,251,315],consist:[9,11,12,13,24,95,96,173],consol:[17,78,80,187,215],constain:8,constaint:8,constant:35,constel:[39,61,187,205,260,261],constitu:5,constitut:18,constrain:[10,16],constrained_mix:[8,32,76],constraint:[2,10,32,51,76],constraint_oracl:[8,32,76],construct:[0,7,8,10,11,14,50,82,124,167,168,169,170,183,188,204,218,220,239,240,251,288,289,292,326],constructor:[14,17,167,313],consult:[80,229,290,292],consum:248,contain:[3,5,7,8,10,15,17,20,23,24,26,35,47,49,50,52,56,61,63,70,71,72,89,93,97,101,109,115,121,151,152,164,168,170,177,185,188,197,203,206,207,214,239,240,242,247,248,251,254,261,262,271,272,273,274,281,288,289,300,301,302,304,305,313,315],containernam:80,content:[0,1,2,5,17,218,291,295,296,326],contest:5,context:[1,5,8,80,93,169,229],continu:[4,5,8,10,14,17,20,206,296],continued_fraction_converg:14,continued_fraction_iter:14,contol:251,contract:[5,203,216,260,281],contrari:[50,207,239],contrast:[8,10],contribut:[0,218,326],control:[1,3,7,8,9,10,12,13,14,17,20,21,23,28,40,41,71,72,110,116,117,118,119,125,126,130,170,204,206,212,215,226,227,229,230,231,232,237,240,248,250,251,252,256,289,290,291,296,320],control_qubit:130,controlenviron:[1,17,229,296,311,320],conveni:[0,2,5,6,17,21,24,61,79,82,93,165,170,218,220,289,292,314,325,326],convent:[11,144],converg:[12,13],convers:[4,80],convert:[11,17,79,80,97,124,154,155,156,292],convinc:9,cool:[9,10],coordin:298,copi:[5,42,45,80,111,173,177,198],coprim:14,copyright:5,core:[1,9,14,24,79,80],cornerston:14,correct:[3,7,8,14,24,50,235,239],correctli:[9,10,81],correl:[120,186],correspod:11,correspond:[1,7,8,9,11,12,13,15,17,20,24,32,57,60,76,122,123,164,165,166,170,185,187,191,194,197,199,223,229,235,289,290,313,323],correspondinghav:212,cost:[3,8,9,10,11,12,13,21,54,55,56,60,62,170,182,212,312,318,320],cost_data:56,cost_fun:[71,72],cost_func:[71,72],cost_funct:[54,70,212],cost_metr:[56,60],cost_oper:[8,55,67,68,70,71,72,212],costfct:70,costfunct:[67,68,69,70,71,72],costli:[8,10,17,170,185,235],costop:[71,72],costoper:70,costs_and_solut:11,could:[2,3,7,8,15,23,104,167,169,170,205,248,304],count:[3,7,9,10,11,15,18,50,51,54,56,58,79,82,90,115,136,170,184,201,207,215,239,242,250,251,260],count_dic:115,count_on:[50,207,239],count_op:7,count_qf:[50,207,239],counting_oracl:[50,207,239],counts_dic:18,counts_list:254,coupl:96,cours:[0,9,11,20,23,26,170,185,218,326],court:5,covari:8,cover:[2,24,72],cp:[10,292],cp_gate:204,cpgate:104,crack:215,crackabl:215,crayon:[10,16],creat:[0,3,7,8,9,10,11,12,13,14,16,18,21,24,27,28,32,36,39,42,43,44,50,52,56,58,59,60,61,62,65,68,71,72,76,77,79,81,93,94,95,96,97,98,101,108,109,112,113,115,121,124,131,136,144,149,157,164,165,167,168,169,170,171,174,175,177,180,181,182,183,185,187,189,190,191,192,193,194,195,196,197,198,199,201,202,203,204,205,206,211,212,214,218,223,229,233,235,239,242,246,248,249,253,256,257,260,263,271,272,273,283,289,290,291,292,293,294,295,296,297,298,299,303,304,305,308,311,313,314,318,320,322,323,324,326],create_coloring_cl_cost_funct:[10,212],create_coloring_oper:[10,212],create_maxcut_cl_cost_funct:[8,9,55,212],create_maxcut_cost_oper:[8,9,55,212],create_perm_specifi:[15,206],create_qubo_cl_cost_funct:11,create_qubo_cost_oper:11,create_rdm_graph:[65,66,68,212],creation:[0,15,165,173,187,218,310,315,326],credit:5,critic:[0,218,326],crucial:[1,9,10],cryptograph:[14,217,314],cryptographi:[14,215],cs:[11,212],ctrl:[7,40,41,185,229,261,290],ctrl_method:[23,28,206,291],ctrl_qbl:[7,215,229],ctrl_qubit:291,ctrl_qubit_0:110,ctrl_qubit_1:110,ctrl_qv:28,ctrl_state:[8,10,24,36,42,71,72,102,130,204,250,251,252,291],cu:[170,290],cucarro_add:[7,215],cuccaro:[245,314],cuccaro_add:[245,314],cuccarro:259,cup:40,current:[6,10,24,181,185,314,320],custom:[7,10,12,13,14,25,32,56,76,166,215,217,221,229,289,296,314],custom_control:[2,3,7,215],custom_qv:166,customari:14,customiz:[10,251,261],customquantumvari:[166,190],cut:[9,24,212],cx:[7,8,9,10,17,24,32,76,78,80,97,112,113,115,121,124,125,136,149,157,167,168,169,170,185,197,202,203,214,229,235,248,256,289,296,304,305,322],cxgate:[95,96],cy:121,cycl:[0,167,203,218,326],cyclic:[15,27,206],cyclic_shift:[1,2,27],cz:[7,121,251],d:[10,17,170,205,223,259,312,313,314],dagger:[7,8,105,129,143,147,150,270,277,280,290,294],dai:9,damag:5,data:[0,1,10,15,21,24,54,56,57,59,61,95,111,166,203,216,218,326],dataprocess:[0,218,326],datatyp:[0,1,218,325,326],date:[5,325],datenschutz:5,datenschutzkoordin:5,datetim:325,ddsim:[80,93],de:[5,15,28,295],deactiv:7,dead:[3,25],deal:[9,15],dealloc:[7,170,185,261],debt:18,debug:[7,192,235,296],decai:8,decid:[10,24,169,170,212,215],decim:[26,104,125,187],decis:[5,8],decod:[2,10,24,42,70,175,181,190,195,205,212,313,314,325],decodedclaus:70,decompos:170,decomposit:149,decor:[2,8,15,17,170,203,205,217,223,229,235,248,263,289,293,294],decrypt:[3,16,46,47],deep:[12,170],deepen:9,deeper:8,def:[7,8,9,10,11,14,15,17,20,23,24,26,32,36,37,38,39,40,42,43,44,45,50,56,71,72,76,77,79,82,164,168,169,170,185,189,205,206,207,209,212,214,223,229,235,239,240,248,251,263,289,290,292,293,295,296,325],def_backend:11,default_backend:[11,167,176,197,254],defend:5,defens:5,defer:80,defi:[170,235],defin:[5,8,9,10,11,12,13,14,15,17,20,21,23,26,31,50,75,153,169,191,205,207,211,212,213,214,223,239,245,251],definecolor:18,definit:[10,14,71,72,96,293],degre:[2,14,97],delai:[5,7,15,169,170,185],delet:[5,17,24,50,170,185,203,239,289,290,294,295],deliv:[5,210],deliveri:3,delta:11,delv:[7,16,17,51,215],demand:[7,8,187,229,295],demonsr:8,demonstar:20,demonstr:[3,5,7,8,15,24,27,55,164,166,170,185,205,207,209,212,213,217,223,289,296,325],demultiplex:28,demux:[1,15,51,206],demystifi:14,denot:15,depart:5,depend:[9,12,13,40,80,170,251],deploi:[14,152,250],depth:[1,2,3,7,8,9,10,11,14,15,23,24,27,28,34,35,36,38,39,44,52,54,55,56,61,62,63,65,68,70,71,72,112,149,185,206,212,215,217,225,242,251,261,279],depth_ind:[120,185,186],depth_rang:[9,56,58,59,60,61],der:[5,14],dereferenc:[165,166],deriv:[11,12,13],describ:[0,7,9,10,15,20,21,24,26,39,71,72,80,93,96,97,98,164,169,178,185,199,215,218,233,261,326],descript:[7,8,19,82,217,251],design:[1,5,9,12,13,17,93,167,212,217],desir:[3,7,17,28,109,174,180,190,194,205,245,260,274],desktop:80,destil:7,destroi:[17,170],destruct:5,destructor:192,det:209,detail:[4,5,7,10,12,13,14,15,24,25,32,76,167,176,177,185,197,212,217,229,251,313,321],detect:[51,185,215],determin:[3,5,7,15,17,24,36,80,149,168,170,184,205,209,235,247,258,260,262,263,274,289],detriment:221,develop:[0,2,3,5,9,14,18,25,170,203,217,218,296,325,326],devic:[5,7,14,16,112,185,225,320],di:192,diag:11,diagon:[11,15,217],diagram:[0,218,326],dict:[20,23,25,26,45,50,54,58,61,63,65,70,71,72,90,101,109,115,121,136,152,176,197,199,239,240,289,290,304,319],dictat:[0,218,223,326],dictionari:[0,15,17,20,23,25,26,36,45,50,56,58,63,65,67,68,69,70,71,72,79,82,90,93,97,101,109,115,121,152,165,166,176,181,187,197,199,203,205,206,218,239,240,289,304,326],did:[2,11,109,185,212,263],diffent:215,differ:[0,2,7,8,9,10,12,13,14,15,21,24,28,29,31,73,75,80,113,166,167,185,192,198,205,206,215,218,223,235,242,251,260,263,289,304,314,326],difficulti:[14,215],diffus:[17,33,40,41,42,170],dig:11,digraph:43,dimens:[28,260,274],dimension:77,direct:[0,3,5,8,15,206,218,297,299,326],directli:[5,8,10,17,126,185,311],dirti:[3,185,194,251],disabl:5,disable_uncomput:185,disadvantag:[0,8,15,218,326],disagre:[8,32,76],discard:24,disclaim:[5,16],disclos:5,disclosur:5,discourag:169,discov:[1,4],discuss:212,disentangl:[17,18,170],disjoint:[71,169],disjunct:70,dispatch:[82,93],displai:[2,5,10,15,195,217,249,256,296],dispos:9,distanc:[16,24,40,206],distance_matrix:[15,206],distance_to_0:206,distil:7,distinct:[8,15,18],distribut:[0,5,15,205,214,218,223,305,326],district:5,div:[258,259],dive:12,divers:217,divid:[9,213,258,259],divis:[217,258,259,313],divisor:[14,213,258,259],do_it:[170,202,235],docker_wrapp:80,dockerfil:80,document:[3,4,9,15,51,80,167,170,173,177,202,233,235,251,252,256,261,288,292,296,299,321,325],doe:[0,5,15,32,76,165,168,170,173,177,198,218,242,256,315,322,326],doesn:[7,8,12,13,24,170,182,185,215,296,318],dolor:190,domain:[5,18],don:[8,10,14,15,16,97,124,206,288],done:[7,9,10,11,12,13,14,170],dos2unix:80,dot:[209,211,217],dotsc:20,doubl:[5,11,17],down:[11,14,16,251,295],download:[5,9,80],dr:5,dramat:9,draper:261,draw:[5,9,10,61,68,212],drawback:[8,15],drawer:152,drive:[12,13,21,29,31,73,75],drop:1,drumrol:10,dtype:[11,104,125,144],due:[0,2,3,5,7,8,14,15,79,80,209,215,218,247,249,251,257,296,305,314,326],duplic:[1,166,177,181,198,289,295],durat:5,dure:[3,5,15,17,22,23,82,168,170,192],dx:20,dynam:[15,185,261],e:[5,9,11,12,13,14,17,18,46,47,48,49,68,69,70,71,72,80,96,111,130,134,165,174,194,212,215,235,240,294,312,313,315],each:[0,3,5,8,9,10,11,12,13,14,15,17,18,24,29,31,51,54,56,60,61,67,70,71,72,73,75,97,115,121,129,168,169,170,185,189,203,205,206,218,223,251,254,260,326],eachoth:242,easi:[9,10,11,16,21,81,83,164,212,215],easier:[12,13],easili:217,eat:3,eclips:[18,215],econm:18,econom:[0,7,215,218,326],ecosystem:[0,218,326],edg:[9,10,66,212],edgest:212,editor:5,effcienc:8,effect:[8,9,15,128,170,212,251,256,257,283,290],effici:[0,3,7,8,9,10,12,13,14,15,16,18,21,25,39,51,102,144,170,185,212,215,217,218,221,251,296,326],effort:[5,7],eg:24,eigenst:7,eigenvalu:[12,13,42,51],eigenvector:[14,17,42],ein:14,either:[8,11,14,15,28,165,167,185,199,242,245,251,313],elabor:[17,203,212,215],electr:28,eleg:[9,17,215,221],elegantli:10,element:[0,2,10,11,14,15,38,58,71,72,205,218,254,326],elementari:[9,96,219,288],eleqtron:[0,218,326],elev:1,elif:[15,185,205,206,223],elimin:[0,218,326],elisabeth:5,ell:[12,13,21,212],els:[7,8,9,10,14,15,70,71,185,205,206,212,223,229,245,292,295,296,313],elsewher:17,embed:[1,15,17],emphas:[5,8,215],emploi:[15,80,313],empow:1,empti:[63,65,111,181,300],en:79,enabl:[1,2,3,5,17,18,21,24,61,80,93,167,170,185,187,203,261,289],encapsul:55,encod:[2,8,10,14,17,20,21,24,39,134,187,189,190,197,199,205,212,213,216,223,312,322,324],encoding_arrai:[174,175],encount:[7,16],encourag:[9,16,51,167],encrypt:[5,14,16,47,48,49],end:[0,5,7,8,9,11,12,13,14,15,16,17,18,21,22,24,28,80,149,158,168,170,188,196,218,289,313,326],enemi:25,energi:[9,10,11,70,212],enhanc:[2,4,7,10,26,51,288,314],enlighten:215,enough:[8,14,15,215],ensu:5,ensur:[5,8,93,169,212],entangl:[0,8,17,22,166,167,169,170,203,218,254,292,322,326],enter:[17,215,289,296],entir:[5,203],entiti:5,entri:[0,5,15,24,28,56,125,165,170,171,175,204,205,218,326],env:292,env_data:296,env_q:296,enviro:169,environ:[0,1,7,11,16,28,165,169,176,184,197,218,254,289,291,292,293,295,310,326],envisag:5,eol:80,epsilon:[7,149,215,261,279],eq:[2,260,274],eq_cond:17,eq_cond_0:17,equal:[2,11,12,13,17,170,173,247,260,274,289,311],equat:[14,16,67],equip:[13,17],equival:[2,18,24,31,75,113,151,165,168,177,178,185,187,209,213,313,315],era:[7,112,185,225],erasur:5,erron:1,error:[2,5,7,80,187,192,194,245,246,249,256,313],especci:8,especi:[3,7,10,25,170,296,314],essenti:[9,13,17,203],establish:[0,1,2,5,8,15,50,166,170,203,218,239,313,326],estim:[3,14,15,16,24,35,36,50,51,77,149,206,207,239,279],estimate_phas:24,et:[3,20],etc:[5,18,24,34,221,310,314],eth:170,ethrlintwo:67,ethrtwocostop:67,etwothrlin:67,etwothrlinclcostfct:67,euler:158,ev_invers:19,eval_distance_threshold:[15,206],eval_perm:[15,206],evalu:[2,8,9,16,17,19,20,21,23,36,38,42,50,54,58,60,62,77,83,112,115,136,149,167,168,176,178,187,197,204,206,207,209,214,220,239,251,254,271,272,273,288,289,295,296,311,320,325],even:[0,1,7,8,12,13,14,15,17,24,40,42,170,185,187,204,215,218,248,251,296,313,326],even_lat:325,event:[5,170],eventu:[15,16],ever:3,everi:[0,5,7,9,15,17,71,72,93,108,120,149,170,185,186,218,235,263,290,295,296,326],everyth:[10,11,14,15],everytim:304,evolut:[4,8,12,13],evolv:[3,12,13],ewen:5,exact:[8,12,13,20,50,125,217,239],exactli:[0,11,12,13,203,218,326],examin:9,exampl:[1,5,8,9,10,12,13,14,15,16,17,18,20,23,24,25,26,27,28,32,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,56,57,58,59,60,61,62,65,67,76,77,78,79,80,81,82,83,94,95,96,97,98,101,102,104,105,107,108,109,112,113,115,121,124,125,129,136,144,149,153,157,165,166,168,170,171,173,174,175,176,177,178,179,181,182,183,185,187,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,206,207,209,210,211,212,214,215,216,223,224,228,229,233,234,235,236,238,239,240,242,245,246,247,248,249,251,254,256,257,258,259,260,261,262,263,271,272,273,274,281,283,289,290,291,292,293,294,295,297,298,299,300,301,302,303,304,305,308,309,311,313,314,317,318,319,320,321,322,323,324],examplari:80,example_backend:[78,82,83],example_funct:[235,293],example_function_dg:235,example_qv:168,example_qv_2:168,example_qv_3:168,example_qv_4:168,example_serv:[79,298,299,308],exampleenviron:296,except:[1,2,5,10,14,15,17,20,23,28,50,104,105,109,151,168,170,175,176,177,178,180,181,182,184,192,194,195,196,197,198,199,201,206,239,245,247,249,251,254,256,257,260,261,263,274,283,289,317,318,320,322,323,324],exchang:215,excit:[1,2,215],exclud:15,exclude_init:24,exclus:17,excpect:289,exec_swap:22,execut:[0,1,3,5,6,7,9,14,18,21,25,35,46,47,50,57,61,78,81,82,89,90,100,112,149,167,169,183,185,192,197,203,214,215,218,225,229,234,239,256,263,293,295,296,298,301,304,309,310,313,326],exemplifi:217,exercis:5,exhibit:217,exist:[0,5,10,24,35,39,93,97,185,215,218,326],exit:[295,296],exot:7,exp:[7,8,11,14,15,17,50,125,158,189,204,205,207,223,239,289],exp_shift:[313,320],expand:[12,13],expans:[12,13],expect:[1,3,8,9,12,13,17,21,23,38,40,42,77,149,185,187,199,209,210,215,289,305,313,319],expens:8,experi:[1,8,10,51,212],experienc:[9,16],experiment:[0,16,185,218,326],expert:18,explain:[10,11],explan:[68,69,70],explanatori:16,explicit:[5,168,169],exploit:[0,14,82,218,326],explor:[2,7,10,12,13,14,16,17,18,25,51,61,217],expon:[7,14,15,17,165,182,206,261,313,318,320],exponenti:[0,3,14,215,218,261,326],expos:[80,164,221,295],expr:42,express:[0,2,5,8,187,204,218,221,242,321,326],extend:[7,12,13,203,246,249,256,300,304,320],extens:[9,321],extension_qc:121,extent:5,extern:[0,5,93,218,326],extra:[3,15,22,102,168,170,185,196,242,251],extract:[14,15,56],extrem:[3,8,10],ey:[10,165,174,175,177,233,260,274],f:[5,8,9,10,11,14,15,17,20,32,76,170,195,206,212,251,312],f_:313,face:170,facil:[3,5,18],facilit:[1,2,3,5,9,18,21,55,185,219,220,254],fact:[0,5,7,8,10,14,15,24,31,75,218,326],factor:[3,11,12,13,14,16,18,22,25,46,51,187,223,242,260,272,274,313],factor_1_qf:272,factor_2_qf:272,factori:[15,206],fail:[168,170,201],failur:207,fals:[3,15,17,22,23,24,26,28,40,42,43,44,50,58,71,113,134,167,169,170,172,173,181,185,187,189,191,192,193,194,197,201,202,209,212,223,228,233,234,235,236,238,239,240,242,244,245,246,248,251,260,261,274,289,291,292,294,295,298,311,312,313,315,317,320,322],famili:[12,13],familiar:[8,10,11,14,16,80,212],famou:215,fan:[97,124],fanci:14,fanout:170,fanout_dg:170,far:[3,7,15,215,301],fascin:[12,13],fast:[7,15,215],faster:[3,7,14,215],fault:[3,14,16,149,215],faulti:[2,32,76],fax:5,feasibl:[1,14],featur:[0,4,7,8,9,12,13,14,15,16,17,24,25,31,75,93,149,164,167,170,185,187,203,207,215,218,248,296,314,326],fed:[12,13],feed:[11,212],feel:[5,7,9,14,215],feilen:14,fernwirkung:305,few:[0,8,14,17,170,206,208,218,326],fiction:215,fiddl:16,field:[9,14,18,25],file:[5,80,122,134,176,197],filenam:[57,59,122,134,197],fill:[15,166,206],filter:206,fin:215,final_trip_dist:206,finali:206,find:[3,4,7,8,9,10,11,14,15,17,18,20,21,24,36,67,70,71,72,168,206,212,215,248,251],find_ord:14,find_solut:24,fine:10,finish:[7,9,80,170],finit:[3,8,313],first:[1,5,6,7,8,10,11,14,15,17,24,32,58,67,76,80,97,100,110,121,124,165,169,170,178,185,190,201,206,212,214,226,227,233,235,242,245,248,254,260,265,268,271,272,274,275,281,282,285,289,304,313,314],fit:[8,24,251,324],five:96,fix:[4,12,13,185,207,248],flag:10,flashback:9,flaw:[8,295],flexibl:[0,8,10,14,203,217,218,251,326],flip:[15,28,77,165,289,294,311,322,323],float_qd:[166,181],floor:313,focu:[9,13,212],focuss:[9,11,14],foku:[5,18],follow:[0,2,3,5,7,8,9,10,12,13,14,15,16,17,20,21,26,32,56,71,76,80,82,144,149,170,205,212,215,218,251,296,314,325,326],foral:8,forbid:256,forbidden:[5,8,32,76],forc:[9,313],foreign:82,foremost:7,form:[5,8,14,17,24,50,67,79,82,149,176,202,205,209,217,239,261,304,310],format:[5,65,80,134],former:7,formul:[0,2,9,10,11,12,13,70,212,218,326],formula:[17,50,149,210,239,289],formulierung:14,forschung:5,fortun:[7,170],forward:[5,7,9,67],found:[0,3,5,14,24,80,96,209,212,218,251,313,314,326],foundat:[9,12,13,16,18,203],four:[10,325],fourier:[7,14,17,51,170,189,205,223,242,290,292,314],fourier_add:[7,215,290],frac12:20,frac:[7,8,11,12,13,14,17,18,20,26,35,50,149,158,187,189,199,207,210,216,223,239,279,281,289,304],fraction:[14,20,23],frame:5,framework:[1,4,8,9,12,13,15,16,17,18,21,80,93,203,212,215,314],framork:16,fraunhof:[5,18],free:[5,7,9,10,14,17,185,192,215,251,313],freedom:5,freeli:80,fresh:[173,174,178,194,198,199],freshli:[7,34],friendli:[0,218,326],from:[0,1,2,3,4,5,7,8,9,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,32,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,61,62,65,68,70,71,72,76,77,78,79,80,81,82,83,93,94,95,96,97,98,101,102,104,105,107,108,109,112,113,115,121,122,123,124,125,129,134,136,144,149,153,157,158,159,164,165,166,167,168,169,170,171,173,174,175,176,177,178,179,181,182,183,185,187,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,218,223,224,228,229,233,234,235,236,238,239,240,242,245,246,247,248,249,251,254,256,257,258,259,260,261,262,263,271,272,273,274,281,283,289,290,291,292,293,294,295,296,297,298,299,300,302,303,304,305,308,309,311,312,313,314,315,317,318,319,320,321,322,323,324,325,326],from_qasm_str:[79,82],from_qiskit:[1,97,164],ft:[7,185],fulfil:[5,70],full:[1,5,10,17,104,125,235],fullfil:24,fulli:[0,2,5,24,185,218,326],fun:215,func:229,funcion:10,function_to_redirect:263,fund:[0,8,18,218,326],fundament:[13,16,17,21,203],funni:9,furthemor:[0,218,326],further:[2,5,9,10,12,13,15,17,18,80,166,185,192,235,313],furthermor:[2,3,8,17,18,24,157,166,170,185,203,207,235,289,320],futur:[4,5,7,8,18,215,314],futureproof:215,g:[5,8,9,10,14,17,55,56,58,59,60,61,62,65,68,69,212,249,256,257,283,311,312],gadget:215,gain:[7,10,17,56,60,170],gain_data:56,gain_metr:[56,60],game:16,gamma:[8,9,10,11,12,13,55],gamma_0:62,gamma_1:[12,13,62],gamma_2:62,gamma_3:62,gamma_4:62,gamma_p:[9,12,13,21],gamma_ph_p:9,gap:[0,218,326],gate:[1,3,8,9,10,11,14,15,17,18,22,23,29,30,31,67,73,74,75,93,94,96,97,101,102,105,108,109,110,112,115,116,117,118,119,125,126,127,128,129,130,133,137,138,139,140,141,142,143,145,146,147,148,149,150,151,153,157,158,159,160,161,162,163,164,165,167,169,182,184,185,192,194,197,202,204,206,215,216,225,226,227,230,231,232,235,237,240,241,242,243,248,250,251,252,255,256,260,261,264,265,266,267,268,269,270,275,276,277,278,279,280,281,282,284,285,286,287,288,289,292,293,313,314,318,320,322],gate_nam:169,gate_spe:[7,185,215,261],gate_wrap:[170,248,293],gatewrapenviron:296,gather:[9,212],gave:170,gcd:14,gdpr:5,gener:[0,1,2,3,5,7,8,9,11,12,13,17,18,23,24,28,32,35,45,70,76,89,97,106,107,152,153,164,166,168,170,181,185,188,190,193,197,202,206,209,212,217,218,229,248,288,326],generate_random_inv_matrix:209,geq:70,german:[0,18,218,326],germani:5,gesellschaft:5,get:[6,7,8,9,11,12,13,14,15,16,18,20,61,65,68,70,71,72,80,165,169,176,187,206,212,214,242,251,261,313,314],get_backend:[17,18,79,82,83,93,183],get_clear_qc:[214,305],get_count:[18,79,82],get_ev:1,get_measur:[2,9,14,17,20,24,25,56,61,65,80,82,83,93,165,179,183,185,200,210,289,299,319],get_neighbourhood_rel:[71,72],get_r_candid:14,get_unitari:204,getpreferredencod:134,ghz:[97,136,168],gidnei:[3,7,185,215,251,261,314],gidney_add:[3,7,215,261,314],giraf:212,git:80,give:[0,3,5,8,12,13,24,36,71,72,185,187,215,218,326],given:[5,7,8,10,14,15,17,20,23,24,25,26,28,30,32,37,39,44,50,51,58,63,65,67,68,69,70,71,72,74,76,77,80,93,106,107,108,111,114,121,125,131,136,149,154,155,156,157,158,159,167,168,170,174,175,176,178,181,188,189,190,193,194,195,201,207,212,235,239,261,263,313],gl:247,glimps:217,global:[11,80,113,126,157,169,237,285],gm:[22,292],go:[8,9,10,11,12,13,15,61,80,170,215],goal:[8,12,13,21,326],goe:[8,185],gone:[7,170],good:[5,7,8,15,20,21,26,170,215],googl:5,got:[9,10,215],gphase:[11,62],gradual:16,grai:[102,110,130,166,181,189,250,251,252],grandmoth:9,grant:[5,7,185,215,290],granular:17,graph:[8,9,10,15,16,43,45,55,56,58,59,60,61,62,68,69,71,72,212],grasp:[13,212],gray_pt:[102,181,206,251,252],gray_pt_inv:[251,252],great:187,greater:215,greatest:14,greatli:15,green:[10,212],grid:205,gritti:[203,215],groel:5,ground:5,groundbreak:[14,25],group:9,grover:[8,15,16,33,51,77,170,206,217,288,290,295],grovers_alg:[8,15,50,206,207,217],grow:[8,15],guarante:[0,5,8,17,24,28,218,326],guid:[9,11,16],gunicorn:80,gwe:293,gxx:292,h:[7,8,9,14,15,17,20,23,24,28,36,39,40,42,44,62,78,80,94,97,108,136,144,149,165,166,168,177,181,185,187,189,190,192,197,198,202,204,205,210,211,214,223,235,242,246,254,289,291,292,294,296,300,301,302,304,305,311,312,313,315,319,320],h_c:[11,212],h_x:40,ha:[0,2,5,7,8,9,10,11,14,15,17,24,25,31,36,40,42,44,50,57,58,70,75,78,80,144,158,166,169,170,180,185,191,192,204,207,215,218,229,239,242,247,251,260,263,274,290,293,295,296,311,320,322,326],habitu:5,had:15,hadamard:[9,14,17,94,127,170,304],hadfield:[9,12,13],half:[77,214],hallo:166,halv:15,hamiltonian:[7,8,11,12,13,217,223],hamiltonian_appl:223,hamiltonian_evolut:[8,19],hand:[9,10,11,14,16,17,70,167,199,212],handi:[10,288],handl:[7,15,203,205,209,295],hansastrass:5,hanselka:5,happen:[7,8,168,169,170,301],happi:305,hard:[15,215],harddriv:[57,59],hardwar:[0,8,10,17,18,39,218,320,326],harm:5,hash:165,hashabl:[165,191,325],hat:314,have:[0,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,21,24,26,43,50,56,61,80,93,120,121,128,165,166,169,170,173,174,180,185,186,187,194,206,207,209,210,212,214,215,218,235,239,240,261,263,289,295,296,298,301,304,309,313,315,325,326],haven:9,he:215,headach:215,heard:7,heavi:170,heavili:[185,212],height:[2,24,36,39,40,42,44],height_cond:[36,42,44],height_condit:24,held:[0,218,326],hello:[18,166,217,291,315],help:[1,10,14,16,18,51,61,217,235,260,263,288,290],helper:15,helpful:[0,166,170,192,218,256,326],here:[0,2,3,4,7,8,9,10,11,12,13,14,15,17,20,22,80,164,165,170,185,205,206,212,215,218,223,248,250,251,261,292,313,325,326],hereinaft:5,heurist:24,hi:[12,13,215,302],hidden:[14,16,168],hide:[17,293],high:[0,2,8,14,15,16,18,97,164,215,218,295,299,310,326],higher:[0,3,9,15,24,35,164,218,259,261,326],highest:[58,70,149,215],highli:[16,215],highlight:[3,13,14,170],him:215,hing:7,historgram:197,hit:215,hold:[12,13,15,24,170,185,216,251,281,312,322],holger:5,hood:[12,14,215],hope:[0,7,218,326],horizon:[14,25],horizont:8,host:79,hot:[8,10,24,212],hough:170,how:[3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,25,36,42,50,164,171,185,187,191,203,204,205,207,209,211,212,214,215,216,217,223,239,251,289,296,314,325],howev:[0,5,8,10,12,13,14,15,24,32,76,126,129,169,170,185,215,218,248,251,261,315,326],html:[5,79],http:[5,50,79,239,292,321],hub:80,human:[17,39,47,168,171,191,195,203],hybrid:[12,13,24,251,252],i2:313,i:[5,7,8,9,10,11,12,13,14,15,17,18,23,24,50,68,69,70,71,72,80,96,97,108,109,111,121,125,130,134,158,165,168,170,171,174,175,187,189,191,194,195,199,204,205,206,207,209,210,212,216,223,235,239,240,281,289,290,292,294,295,296,312,313,315,325],ibm:[17,18],ibm_lago:17,ibmprovid:17,ibmq_qasm_simul:81,ibmquantum:3,icon:5,id:121,idea:[2,7,8,12,13,15,17,71,72,206,314],ideal:[10,13,68,70],ident:[5,8,11,15,34,128,168,174,235,260,274],identif:5,identifi:[5,24,94,96,98,115,168,188,193],ie:[0,8,15,17,24,42,44,95,164,170,185,204,207,216,218,251,261,310,314,320,326],ieee:[292,321],ieeexplor:[292,321],ignor:108,ignore_gphas:113,ignore_overflow_error:[228,236],ignore_rounding_error:[228,236],ii:11,ij:[9,11],ikx:189,illeg:5,illustr:[7,12,13,18,217],im:7,imag:[5,93,321],imagenam:80,imagin:[215,251],immedi:[5,11,15,251],immut:165,impair:170,implement:[1,2,3,5,7,8,11,12,15,16,17,20,24,25,32,51,55,56,61,66,76,80,93,164,169,170,185,206,215,217,251,261,296,315],impli:[5,6,7,8,15,17,18,24,129,149,164,165,169,170,190,191,195,205,249,251,261,289,296,304,313,325],implic:[10,215,217],impor:81,importantli:[10,14],impos:[170,206],improv:[1,2,5,9,10,12,13,15,168,215,325],inaccur:5,inbox:[214,305,309],inbuild:312,inbuilt:[80,93],inc:5,incas:242,includ:[5,9,10,11,12,13,14,15,16,24,38,80,93,151,169,203,325],inclut:9,inconveni:39,inconvi:169,incorpor:8,incorrect:[235,248],increas:[2,7,10,12,13,35,215,229,251,296],increasingli:14,increment:[27,52,289,294],incur:5,inde:[8,10,14,15,192,215,290,292],indent:17,independ:[2,17,21,168,212],index2:70,index:[8,10,15,24,28,70,71,72,79,80,144,165,168,206,260],index_0:165,index_1:165,indic:[5,7,8,10,11,14,15,24,35,36,37,39,43,45,61,67,70,120,168,176,185,186,187,192,197,201,203,207,216,251,254,313],industri:[0,18,218,326],ineffici:251,inf:157,infer:[3,17,168,169,188],infinit:187,infix:[17,203,221,288,289,313],influenc:[126,185],info:[5,71,72,80,93],inform:[2,7,11,14,15,17,18,22,23,24,28,40,41,45,56,80,89,96,121,149,170,173,185,192,202,214,235,248,251,252,256,261,290,292,296,299,310,319,322],infractructur:325,infrastructur:[0,2,3,93,164,217,218,310,326],ing:5,ingredi:[10,11,21,212],ingrediend:10,inherit:[17,168,203,296,325],inheritor:[0,164,166,167,203,218,299,313,326],init:[173,193,216,281],init_dict:166,init_from:[173,193],init_funct:[55,64,65,68,70,71,72,212],init_nod:[24,39,40,42,44,45],init_op:[96,242],init_phi:[43,45],init_point:9,init_seq:206,init_st:[10,65,68,70,71,72,212],init_typ:[9,11,55,61,63,65],initi:[7,8,9,10,12,13,15,17,21,27,37,38,39,42,43,44,45,55,61,63,64,68,69,71,72,80,97,165,173,174,177,178,193,194,198,199,211,216,238,249,256,257,281,283,312,322,324,325],initial_state_mkc:10,inittest:[71,72],inner:[9,12,170],innov:[1,2,7],inp:20,inpl_add:[7,22,25,215,245,314],inpl_adder_test:[3,7],inpl_mult:313,inplac:[166,209,217,245,246,247,261,313,322],inplace_matrix_app:[209,217],inplace_mult:22,input:[7,11,15,17,22,23,28,67,68,69,70,71,72,77,80,165,170,195,203,205,206,212,215,248,251,258,260,261,262,263,289,324],input_list:20,input_object:238,ins_0:95,ins_1:95,insert:[7,8,166,251],insid:[15,17,169,170,293,295,296,313],insight:[4,7,9,21,217],inspect:[17,105,125,171,175,191,195,289,292,302],inspir:[10,12,13,217],instal:[5,6,80,93],instanc:[3,5,7,8,9,10,12,13,14,15,24,34,55,56,58,59,60,61,62,63,64,65,67,68,69,70,71,72,80,93,120,151,166,167,169,185,186,217,298,314,325],instantan:7,instantaneusli:185,instanti:[81,83],instantiate_qiskit_backend:167,instantli:170,instead:[1,2,8,9,10,11,14,15,17,18,23,40,70,80,108,165,170,212,229,240,251,263,289,290,291,312,313,314,322],institut:5,instruct:[1,16,96,108,110,116,117,118,119,126,127,128,130,131,133,135,137,138,139,140,141,142,143,145,146,147,148,150,158,159,160,161,162,163,164,185,235,263,293,295,296],insurmount:[14,25],int_0:20,intact:[2,32,76],intefac:3,integ:[10,14,18,24,25,27,36,39,46,48,52,61,70,79,82,90,93,96,97,108,120,125,130,149,165,171,174,175,176,182,186,191,195,196,197,205,215,223,228,234,235,236,245,246,247,261,289,291,295,314,318,320],integr:[2,3,5,7,11,18,20,93,164,169,325],intend:[8,21],intended_measur:185,intens:8,intent:5,interact:[2,9,11,31,75,80,285,299],intercept:215,intercepted_messag:215,interceptor:215,interest:[0,5,7,8,14,15,218,254,289,296,314,326],interf:8,interfac:[0,1,4,25,78,79,80,81,82,83,167,183,203,211,218,289,292,299,304,310,326],interfer:[8,170],intermedi:[7,261,289],intern:[3,182,300,304,318],interoper:18,interplai:296,interpret:[8,9,10],intersect:71,intertwin:18,intl:5,intlist:[71,72,212],intric:18,intricaci:[14,314],intrigu:215,introduc:[1,2,3,7,8,9,10,12,13,15,16,17,50,102,170,239,242,251,260],introduct:[4,8],intuit:[9,10,14],inv:[7,14,17,22,189,205,223],inv_prep_psi:8,invali:177,invalid:323,invari:[31,32,38,40,42,75,76,129],invers:[7,8,14,17,22,170,189,205,223,251,262,292,313],inversionenviron:[7,251,296],invert:[1,7,8,15,105,129,170,206,209,217,247,251,262,289,291,292,294],inverted_circuit:129,investig:[2,8,14,17,24,42,61,170,187,290],investor:8,invit:[8,10,15],invok:17,involv:[5,9,10,11,15,16,18,80,248,249,251,256,310],io:79,ion:292,ip:[0,5,78,79,93,218,297,298,299,310,326],ip_address:79,ipsum:190,ipython:187,ironi:9,is_below_treshold:[15,206],is_delet:192,is_power_of_two:10,is_qfre:[235,238,240,244,248],is_simul:79,isinst:296,isn:[7,10],issu:[1,2,5,170],ist:185,item:[9,10,11,18,65,68,70,71,72,212],itemgett:[9,10,11,212],iter:[1,4,9,10,12,13,14,15,17,23,24,26,50,51,54,56,58,61,63,65,70,206,207,210,217,239,289,290,295],iter_rang:[9,56,58,59,60,61],iter_spec:[15,23,50,206,207,239],iteration_amount:295,iterationenviron:[2,4],itertool:212,itinerari:[15,206],its:[5,9,10,12,13,14,15,16,17,21,23,51,96,135,170,171,185,191,212,215,235,248,263,315,317],itself:[9,17,170,216,217,310],j:[8,9,11,14,15,17,24,26,67,70,71,72,104,125,144,206,209,212,312],ji:11,jone:[3,7,185,251],jones_ancilla:251,journei:[4,12,13],judg:9,jur:5,jurisdict:5,just:[0,7,8,9,10,11,12,13,14,15,111,185,212,218,290,326],k:[7,14,15,18,20,50,149,189,205,207,210,223,239,258,259,261,262,292,312,313,314,323],k_:149,kaiserin:5,kappa:[8,9,11,12,13,21],keep:[0,2,9,31,75,168,214,218,326],kei:[0,9,10,11,12,13,14,15,17,20,46,47,48,49,61,65,68,70,71,72,90,101,109,121,165,166,181,203,210,212,214,215,218,240,289,304,326],kept:[1,5],ket:[7,8,12,14,15,17,18,20,21,24,26,38,40,43,135,166,170,172,185,187,189,192,193,198,199,201,204,205,216,223,281,289,304,322],key_qv:[166,181],keywoard:[249,256],keyword:[1,2,7,14,15,17,20,23,24,25,26,32,36,50,61,63,65,76,152,157,168,170,172,176,179,185,187,192,196,197,200,205,206,207,215,217,223,229,235,239,248,251,261,263,289,290,295,314,319],kind:[7,8,82,115],knob:170,know:[7,8,9,10,11,14,15,16,206,215],knowledg:[3,10],known:[0,10,14,18,32,76,165,207,208,215,217,218,313,326],kolkata_qiskit:17,kolkata_qrisp:17,krei:5,kung:261,kwarg:[15,23,40,50,152,179,200,206,207,228,236,238,239,240,244,289,290],kwargs_oracl:[20,26],l:[10,12,13,24,38,70,311,312],label:[37,42,166,168,187,189,190,195,198,205,240,254],label_constellation_a:187,label_constellation_b:187,label_constellation_c:187,label_list:190,lack:166,lam:[158,282],lambda:[7,8,10,120,158,186,212,215,245,261,282],landscap:[7,12,13],langl:[20,26],languag:[0,15,18,164,168,217,218,326],laptop:5,larg:[0,2,3,14,18,24,25,51,215,218,251,295,296,326],larger:[7,8,215],largest:[10,212],last:[3,5,8,9,11,15,32,67,76,77,187,206,309],later:[15,17,59,185,206,295],latest:[1,2,3,5,79,80],latex:[17,152,187],latter:[7,9,13,313],law:5,layer:[5,12,13,21,54,56,61,62,251,261],layer_depth:[54,56,58],layout:45,lead:[9,10,12,13,212],leaf:24,leak:1,leakag:[8,32,76],lean:[0,218,326],learn:[7,9,10,11,12,14,16,17,25,215,314],least:[10,11,14,15,20,31,75,215],leav:[8,9,32,76,169,242],left:[7,8,10,14,15,20,50,166,187,189,198,207,223,239,289,296],leftrightarrow:[14,170],legal:5,legend:205,legitim:5,len:[8,9,10,11,14,15,18,24,32,62,70,71,72,76,206,212,296,315],len_univers:[71,72],leq:20,less:[8,10,24,35,170,185,250,251,289,294],less_than:[289,311],let:[8,9,10,11,14,16,20,26,215],level:[0,15,16,17,18,28,51,164,215,218,296,299,310,326],leverag:[7,10,14,18,24,185,261],lf:80,li:24,liabil:5,librari:[0,18,218,326],life:[10,167,168],lifetim:[0,203,218,326],lift:[15,50,170,206,207,235,239],light:8,like:[0,1,3,5,7,8,9,10,11,12,13,15,16,18,21,51,65,68,70,71,72,80,81,96,97,151,170,179,200,204,205,212,215,216,218,261,289,311,326],likelyhood:66,limit:[10,14,25],limits_:20,linalg:209,line:[7,9,14,15,17,80,208,296],linear:[0,195,218,261,326],link:[5,7,9,212,314],list:[9,10,11,15,18,20,23,24,26,27,36,37,38,39,40,41,42,44,50,52,54,56,58,61,62,67,70,71,72,95,96,97,108,110,130,164,167,168,176,178,185,187,190,201,212,214,215,224,226,227,228,230,231,232,234,235,236,237,238,239,241,243,245,249,250,251,252,253,254,255,256,257,261,264,265,266,267,268,269,270,275,276,277,278,280,282,283,284,285,286,287,288,289,291,296,302,303,305,309,311,313],list_of_color:10,list_univers:71,listen:[78,79,81,82,83,297,298],lit:5,liter:[70,215],literatur:14,littl:[9,10,12,13,120,186],live:[17,52,167,168,169,170,182,185,202,205,224,229,235,248,251,263,289,292,293,294,296,311,318],ll:[4,9,10,11,12,13,16,17,212],llc:5,load:[0,2,15,122,123,166,203,206,218,326],local:[12,13,15,80,93,134,166,170,185,203,304],local_serv:[297,300,302,303,304,305],localhost:[79,297,298],locat:197,lock:[5,256,257,283],lodg:5,log2:[10,15,50,206,207,239],log:[5,15,18,35,149,279],log_2:7,logarithm:[7,27,52,215,251,261],logic:[0,2,3,5,7,96,120,166,170,181,186,203,218,251,295,311,326],longer:[1,5,7,24,157,170,185,251],look:[7,9,11,14,17,24,215,290,313],lookahead:261,loop:[1,9,14,217,289],lorem:190,lose:296,loss:5,lot:[2,3,7,14,170,185,203,215,235,261,295,296],low:[0,7,15,17,28,51,164,215,218,310,326],lower:[0,5,9,11,218,261,326],lowest:9,lt_ancilla:311,lt_qbl:311,lucki:9,luckili:215,m:[8,11,12,13,17,20,26,67,70,71,72,77,82,95,97,149,212,301,312,314,321],m_:[71,72],machin:[5,79,82,298],made:[2,5,7,9,17],magic:[7,10],magnitud:3,mai:[5,9,80,212,295,300],main:[12,13,14,15,93,169],mainli:203,maintain:[7,212,296,325],maintanbl:2,mainten:18,major:[7,170],make:[3,5,7,8,9,10,14,15,16,21,55,61,170,185,212,215,296,310],malwar:5,manag:[0,15,17,18,165,167,168,170,203,215,218,251,288,310,326],mandatori:5,mani:[0,1,2,3,7,14,15,17,18,24,97,164,165,166,168,169,170,203,215,218,229,248,251,261,288,290,292,294,295,310,313,314,326],manifest:10,manipul:[5,9,17,28,51,165],manner:[9,212],mantissa:[17,165,246,313],manual:[166,167,169,192,203,206,263,294],map:[8,14,245],margolu:[170,206,248],margolus_dg:248,mark:[8,36,38,40,170,192,212,235,248],marker:224,market:5,marvel:10,maslov:[251,252],masterpiec:10,match:[10,121,195,300,304],materi:5,math:[15,50,170,206,207,239],mathbb:[8,11,14,32,76,209,314],mathcal:[15,18,20,26,40],mathemat:[8,15,32,70,76,166,170,212],mathematician:[14,25,215],mathrm:[15,20],matplotlib:[10,24,45,68,205,212],matric:[11,18,165,217],matrix:[3,8,11,15,104,125,159,165,170,174,203,217,233,247,260,274],matter:[3,206],max:[8,9,12,13,20,21,149],max_cut_inst:[8,56,58,59,60,61],max_depth:[24,40],max_it:[8,9,10,11,55,63,65,212],max_weight_cliqu:[68,212],maxcliqu:[12,13,21,65,212],maxcliquecostfct:[65,68],maxcliquecostop:[65,68],maxcliqueinfrastr:[65,68],maxcut:[3,8,10,11,12,13,16,21,55,56,58,59,60,61,62],maxcut_cost_funct:9,maxcut_inst:[9,55,212],maxcut_obj:[9,212],maxcut_problem:[9,56,58,59,60,61,62],maxfiv:[65,68,70,71,72,212],maxim:[9,67,68,69,70,212],maximum:[1,7,9,24,35,63,65,71,72,149],maxindependentset:[12,13,21],maxindepsetclcostfct:[69,212],maxindepsetcostop:[69,212],maxit:9,maxsatclcostfct:70,maxsatcostop:70,maxsatinfrastr:70,maxsetpack:[12,13,21,212],maxsetpackclcostfct:71,maxsetpackcostop:71,maxsetpackinfrastr:71,mayb:14,mcp:[8,10],mcrx_gate:102,mcx:[1,3,7,24,36,42,71,72,110,157,170,185,202,229,252,263,289],me:[12,13],mea:[9,10,11],meadow:10,mean:[0,5,8,9,11,15,17,24,34,38,61,71,72,82,185,215,218,235,256,312,326],meaning:5,meant:[8,10,14,80,93],meantion:67,meas_count:11,meas_r:[9,10,14,20],measur:[2,3,5,7,9,10,12,13,14,15,17,18,20,21,24,26,36,50,54,56,62,63,65,67,68,69,70,71,72,78,80,93,94,95,96,97,136,164,167,170,171,176,178,179,185,189,191,195,197,200,205,206,207,214,223,239,251,254,261,289,304,305,310,319,325],measurement_kwarg:36,mechan:[0,7,14,25,169,203,218,326],meet:24,member:5,memori:[1,9,315],mention:[0,3,5,8,9,10,11,14,15,21,70,185,212,218,325,326],merg:[0,2,95,167,168,218,296,326],merged_in:95,merri:302,mes_kwarg:[11,25,61,63,65,319],mes_r:24,mes_result:[94,197],messag:[2,16,47,49,194,215,249,256,257,302,305],message_int:48,messages_0:214,messages_1:214,met:15,meth:[112,225],methaphor:10,method:[0,1,2,3,7,9,10,11,15,17,20,21,23,26,41,43,56,58,59,60,61,62,63,65,93,102,108,110,112,113,124,125,130,149,153,154,155,156,164,170,171,172,173,174,176,177,178,180,181,182,183,184,185,187,189,190,191,192,193,194,196,197,198,199,202,203,204,205,206,215,218,221,225,250,251,252,261,288,295,296,301,309,315,318,320,326],metric:[21,56,58,149],mid:[7,185,251],might:[0,7,8,9,10,14,15,16,120,166,170,185,186,215,218,251,326],mimic:[169,205,223,289],min:[7,9,10,11,212],min_height_assumpt:41,min_r:10,mind:9,minim:[3,7,8,9,10,11,12,13,21,93,215],minimum:15,minimz:9,ministri:[0,18,218,326],minor:4,minsetcov:[12,13,21,212],minsetcoverclcostfct:72,minsetcovercostop:72,minsetcoverinfrastr:72,minut:80,misc:[50,166,239],misc_funct:166,mismatch:175,mismatchingli:28,missmatch:196,mistak:16,mitig:[1,7],mix:[8,10,12,13,32,33,55,76],mixer:[2,9,10,12,13,16,17,29,31,32,55,65,68,69,70,71,72,73,75,76,212],mixerop:[71,72],mixing_var:8,mkc:10,mkcs_obj:[10,212],mkcs_onehot:10,mobil:5,mock_gate_speed_0:185,mock_gate_speed_1:185,mod:[14,67,217,314],mode:312,model:[11,18,314],moder:251,modern:14,modif:5,modifi:[7,8,23,82,228,234,236,250,261,296,314,315,325],modul:[0,3,4,9,12,13,18,21,80,93,134,164,165,170,203,212,214,217,218,251,310,326],modular:[2,4,7,9,14,18,21,165,209,212,215,313,314],modulo:[14,213],modulu:[14,314],moment:300,monei:9,montanaro:24,montgomeri:314,month:2,more:[0,2,3,5,7,8,9,10,12,13,14,15,16,17,18,20,21,22,23,24,25,28,32,40,41,45,56,76,102,149,166,167,168,170,173,176,177,185,187,192,196,197,202,212,215,217,218,221,229,235,248,251,252,256,261,289,290,292,296,299,315,319,322,325,326],moreov:[5,15],mosaic:[9,11],most:[0,3,5,7,8,9,10,12,13,14,65,68,70,71,72,170,179,185,200,212,215,218,251,296,326],most_lik:[15,206],mostli:[1,292],motif:5,motiv:93,mount:80,mountain:5,mouth:9,move:[7,8,9,28,42],mqt:[80,93],msize:313,mu:8,much:[0,3,8,9,14,15,17,24,50,166,185,198,207,215,218,239,251,326],mul:170,mul_res_0:17,mult_int:246,mult_r:294,multi:[10,17,71,72,102,108,130,170,240,250,251,252,254,289],multi_channel_mix:8,multi_h:108,multi_h_qc:108,multi_measur:[8,15,17,23,28,39,50,165,166,177,198,205,206,213,223,239,259,289,291,294],multipl:[1,3,7,8,12,13,14,15,17,18,31,75,80,83,165,169,170,203,214,215,216,217,223,233,235,238,240,242,246,247,254,260,262,272,274,294,295,300,304,313,314,322],multipli:[17,22,165,217,242,246,247,260,272,274],multiplicaton:10,multiply:14,multiqubit:169,mundan:10,munich:5,must:[5,14,24,289,290],mutual:[69,212],n:[3,7,8,9,10,11,12,13,14,15,17,18,20,24,25,32,35,38,46,47,50,66,67,68,69,70,71,72,76,170,189,206,207,209,210,215,216,239,247,251,259,281,289,290,292,312,313,314],n_amp:322,n_f:8,n_result:[210,289],na:24,name:[0,7,9,17,36,37,38,39,40,42,43,44,45,80,81,82,96,97,108,115,134,151,153,164,165,168,169,185,188,190,193,210,212,214,215,218,235,263,293,297,299,300,302,303,304,305,308,311,312,313,321,326],nanosecond:[7,185],nativ:292,natur:[5,7,14,93],ndarrai:[0,104,125,144,159,165,171,218,233,247,274,326],nearli:9,necces:169,neccess:15,neccessari:[0,14,185,218,242,326],neccessarili:296,necess:5,necessari:[5,9,11,15,17,81,169,185,203,212,295,296],need:[5,7,8,9,10,11,12,13,14,15,16,17,18,21,24,32,36,76,97,102,124,165,170,178,187,190,209,229,251,261,295],neg:[30,70,74,322],negat:70,neighbor:[3,10],neighbour:[31,75],neighbourhood:[71,72],neither:[20,23,42,170],neq:[2,8,11,32,38,76],ness:[170,235,248],nest:296,net:[170,251],network:[0,1,4,93,214,218,297,298,300,301,304,305,308,326],networkx:[8,9,10,43,55,56,58,59,60,61,62,65,68,212],never:[15,24,170,185],nevertheless:[5,167,304],new_root:44,new_statevector:[216,281],newli:11,next:[8,9,10,12,13,14,15,17,18,24,50,80,170,185,212,215,235,239,294],nice:[17,65,187],nicknam:[297,299],nielsen:14,night:9,niklassteinmann:80,nisq:[7,16,112,185,225,312,315],nisq_char:[312,315],nisq_mod:312,nitti:[203,215],nmethod:251,no_opt_tre:24,node:[9,10,24,35,36,37,38,39,40,42,43,44,45,66,212],node_color:[9,10,212],nois:1,noisi:7,non:[2,3,5,7,8,14,17,18,24,69,93,96,102,105,113,165,167,170,182,185,212,223,229,248,256,295,315,318,320],none:[8,20,22,23,24,25,28,36,45,46,47,50,55,68,78,79,81,82,83,84,85,88,96,97,102,106,107,121,131,134,136,149,151,153,165,166,167,168,173,176,181,183,185,187,188,190,193,194,196,197,206,207,212,228,229,233,235,236,238,239,242,244,253,254,258,260,261,262,271,272,273,274,291,293,297,298,299,304,306,307,311,312,313,314,315],nonprofit:5,nonzero:212,noqa:[50,151,197,239],nor:[5,20,23,42,170],norm:113,normal:[7,10,38,178,199,325],notabl:[0,3,7,218,326],notat:[223,289,313],note:[0,3,5,7,8,9,10,11,14,15,17,24,28,40,97,102,115,120,124,165,166,167,169,170,173,174,177,182,185,186,190,192,194,199,215,218,219,235,247,248,290,296,299,300,304,311,313,314,315,318,326],notic:[5,7,9,14],notif:5,notifi:5,notion:170,notwithstand:5,novel:[2,8,10,18],novelti:2,novic:9,now:[1,2,3,7,8,9,10,11,12,13,14,15,17,24,42,44,50,56,97,125,166,167,170,173,177,185,187,189,192,198,199,204,205,207,212,214,215,239,245,251,256,259,261,263,283,289,292,299,302,305],np:[1,7,8,9,10,11,14,15,17,20,23,26,27,32,50,52,76,80,104,125,129,149,165,171,173,174,175,177,178,179,189,200,204,205,206,207,209,211,212,216,223,233,239,247,260,274,281,289,290,292],nq_:11,nr_:11,num:[258,259],num_ancilla:[251,252],num_clbit:[96,97],num_ctrl_qubit:102,num_nod:[10,212],num_qubit:[7,15,17,96,97,170,185,206,215,216,251,281],number:[0,3,5,8,9,10,12,13,14,15,16,17,20,23,25,31,32,51,63,65,66,67,70,71,72,75,76,115,144,168,185,199,203,206,207,212,213,218,251,310,313,314,315,322,326],number_of_nod:[9,65,68,212],numer:[9,20,187,213,235,248,258,259,311],numpi:[0,8,9,10,11,14,15,17,20,26,27,32,50,52,76,80,93,104,125,129,144,149,159,165,176,177,179,187,189,200,203,204,205,206,207,209,211,216,218,223,233,239,247,248,260,274,281,289,292,326],numvar:70,nx:[9,10,65,68,69,212],o:[5,10,12,13,15,17,18,204,205,311,312],obei:[122,123],obj:[57,71,72],obj_for_mea:[9,10,11],object:[0,1,7,9,10,11,17,18,28,36,42,70,78,83,89,95,96,97,103,108,124,125,153,157,164,165,167,168,169,170,185,187,188,192,210,214,218,225,235,261,279,293,310,326],oblig:5,observ:[3,7,9,185],obtain:[5,9,10,11,20,212,215],obvious:7,occupi:170,occur:289,odd:[8,14,24,40,209,247],odditi:24,offer:[0,1,5,7,10,218,326],often:[0,7,8,9,12,13,218,326],oh:9,omega:187,onc:[2,3,5,7,8,9,13,14,15,17,18,25,31,75,164,169,170,202,206,295,296],one:[0,7,8,9,10,11,12,13,14,15,18,24,67,72,80,81,100,165,169,170,176,180,194,197,203,212,214,215,218,245,251,265,268,302,305,313,315,326],one_hot_enc:[10,212],ones:[8,9,10,24,31,50,75,81,130,165,173,174,207,215,216,239,281],onli:[0,1,2,5,7,8,9,10,11,14,15,22,24,32,76,113,165,168,169,170,185,209,215,218,219,235,247,248,251,252,256,261,263,289,290,292,294,295,296,311,312,313,314,320,326],onlin:[5,9],onto:[8,15,17,23,165,194,238,261,263,289],op:[7,95,185,215,225,279,293],open:[0,3,5,9,18,79,80,176,184,218,254,326],openqasm:[0,122,123,134,218,326],oper:[1,3,5,7,8,9,10,11,14,15,17,20,21,26,35,38,40,41,50,51,55,95,108,115,120,126,129,144,151,153,164,165,166,167,168,169,170,174,177,185,186,192,194,198,199,203,204,206,207,209,212,215,225,239,242,249,251,256,261,263,279,283,289,290,292,293,294,296,300,301,310,311,313,314],operand:[95,96,233,281],operation_or_instruct:108,opportun:9,oppos:5,opt:5,opt_r:[63,65],opt_tre:24,optim:[1,4,7,8,9,10,11,12,13,14,16,17,18,24,54,55,56,61,63,65,70,185,206,212,217,261],optimal_solut:[9,54,56,58,59,60,61],optimal_theta:9,optimis:9,optimist:3,optimizatin:51,option:[7,9,15,20,22,23,24,25,26,27,28,36,40,41,43,45,46,47,50,56,58,60,61,63,65,79,81,83,90,93,95,97,102,104,106,107,108,110,113,120,121,125,130,131,134,136,149,151,153,172,173,176,181,183,185,186,187,188,190,192,193,194,196,197,202,212,228,233,234,235,236,239,240,242,248,249,250,251,252,253,254,256,258,259,260,261,262,271,272,273,274,289,291,293,297,298,321],oqv:[56,60],oracl:[8,16,20,26,32,50,51,76,77,170,206,207,220,239,240,288],oracle_funct:[20,26,50,239],orang:10,order:[3,5,7,9,10,11,12,13,14,15,16,17,21,22,93,97,121,129,144,164,167,168,170,185,187,205,223,229,304,310],ordinari:15,org:[50,239,292,321],organ:5,organiz:5,orient:[0,97,218,326],origin:[12,13,14,15,28,70],orthogon:[8,20,26],other:[0,1,3,7,8,9,10,11,14,15,17,18,21,28,71,72,81,97,100,113,116,121,138,141,145,153,161,165,170,177,185,198,212,218,235,251,258,262,263,265,268,285,289,297,299,310,313,314,315,326],otherwis:[8,14,35,40,187,188,250,296,322],otim:[8,68,69,108],our:[1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,170,206,210,212,215,217,289,290],ourselv:[9,11,215],out:[3,5,7,8,9,10,11,12,13,14,16,55,61,71,72,93,97,124,153,168,170,185,195,206,215,228,233,236,242,261,314],outcom:[17,113,126,166,170,171,179,190,191,200,205,214,289,304],outcome_label:176,outcomearrai:[15,27,28,39,52,165,171,173,174,176,177,178,179,206,209,211,216,233,247,260,274,281],outlier:9,output:[0,8,9,12,13,17,28,134,152,165,203,218,223,233,260,274,314,326],output_arrai:[260,274],output_qf:[242,271,272,273],outsid:[80,295,296],oven:10,over:[0,3,7,9,10,12,13,14,18,24,67,70,166,167,173,209,212,218,247,326],overal:[3,8,9,56,185],overcom:[0,8,170,218,326],overflow:[165,209,246,260,274,313],overhead:[3,7,15,17,170,215],overload:[191,195,295],overrid:5,overst:10,overview:[4,9,13,21],overwritten:183,own:[5,7,8,11,12,13,14,25,56,167,169,185,203,215,217,248,314],p:[7,8,9,10,12,13,14,17,20,21,23,32,48,49,50,62,66,76,80,97,109,125,129,187,197,202,204,207,215,239,256,289,290,292,312],pack:2,packag:[9,212,325],page:[4,5,6,15,16,45,203,252,261,314],pai:9,pair:[7,9,10,68,69,214,215,251,304,305],pairwis:71,paper:[7,8,9,12,13,14,15,24,40,42,56,70,149,207,215,228,234,236,251,279,314],paradigm:[0,218,326],parallel:[7,169,261,310],parallelize_qc:[1,28],param:[96,101,105],paramet:[2,4,7,8,9,12,13,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,90,95,96,97,100,101,102,104,105,106,107,108,109,110,113,116,117,118,119,120,121,122,123,124,125,126,127,128,130,131,133,134,135,136,137,138,139,140,141,142,143,145,146,147,148,149,150,151,152,153,157,158,159,160,161,162,163,164,171,172,173,174,175,176,177,178,179,180,181,182,183,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,215,217,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,289,290,291,293,295,297,298,299,303,304,305,308,318,319,320,321,323,324],parametr:[1,3,7,8,18,33,62,102,137,139,140,149,215,217],paramount:7,parent:[17,44,315],pariti:[10,24,40],parkwai:5,part:[0,1,5,7,12,13,14,15,18,24,170,218,326],parti:[5,164],partial:[5,205,223],particip:[15,17,214,299,305,308,310],particular:[5,9,10,12,13],particularli:215,partit:11,partner:251,pass:[23,28,54,245],past:[2,14],path:[8,24,36,37,38,39,43,44,80],path_cond:[36,42],path_condit:24,pattern:[7,9],pauli:[7,11,70,129,160,162,163,212],pave:4,payment:5,pdf:[50,239],peak:7,pedagog:10,peek:[9,12],pennylan:[2,68,69,80,154,155,212],per:[2,3,10,15,54,61,71,72,169,170,206,295],percent:[50,207,239],perfect:212,perfom:[8,290],perform:[0,1,2,3,4,5,8,10,11,12,13,14,17,18,20,21,22,23,24,25,26,27,31,33,35,36,38,40,41,52,55,56,61,71,72,75,77,136,144,149,166,169,170,172,174,177,179,182,185,192,194,195,198,200,202,206,209,210,211,213,214,215,216,217,218,228,230,231,232,233,234,235,236,237,240,241,243,246,247,248,249,250,251,253,254,256,258,259,260,261,263,264,265,266,267,268,269,270,271,272,273,274,276,277,278,280,281,282,283,284,285,286,287,289,290,292,295,296,298,304,308,310,313,318,320,322,326],perform_qft:234,perfrom:[50,239],period:[5,7,51],perm:[15,52,256,257],perm_lock:257,perm_specifi:[15,206],perm_unlock:256,permabl:248,permeabl:[2,15,235,238,240,244,248,256],permiss:5,permit:[18,288],permit_dirty:194,permit_mismatching_s:[15,28,206],permuat:15,permut:[15,28,51,206],permutation_specifi:15,permute_iter:[1,52],person:10,pet:15,peter:[14,25,215],pgate:[96,101,105,204],ph:[50,239,292],phase:[1,3,7,8,9,10,11,12,13,14,15,16,21,24,29,30,31,32,35,36,50,51,73,74,75,76,77,97,101,102,105,109,113,116,125,126,129,133,157,170,189,204,205,206,207,215,223,226,237,239,240,242,250,251,255,256,257,260,265,268,285,289,292],phase_apply_summed_dist:[15,206],phase_g:105,phase_toler:[242,260],phaseshift:[50,207,239],phenomenon:170,phi:[17,18,32,38,43,76,101,116,125,126,133,137,138,139,140,141,149,158,161,187,189,204,226,227,237,250,255,264,265,266,267,268,279,282,285],phi_1:[14,17],phi_2:17,phi_:[7,14],philosophi:170,phone:5,physic:[0,3,7,9,93,126,185,218,326],pi:[7,8,9,12,13,14,15,17,20,23,26,32,50,76,104,125,129,149,179,189,200,204,205,206,207,223,239,240,248,289,290,292],pick:[8,10,14,24,250],pictori:5,pictur:8,piec:[9,11,167],pineappl:3,ping_func:[89,93],pinpoint:169,pioneer:7,pip:[6,80],pizza:3,place:[1,5,7,14,22,25,28,95,121,215,217,228,234,236,261,263,313,314],placehold:128,placement:190,plai:[8,9,11,215,314],plaintext:[46,47],plane:[31,75],platform:[0,3,217,218,326],pleas:[5,7,10,14,24,25,32,42,76,187,217,314],pleasant:5,plethora:10,plot:[2,3,60,187,197,205],plt:[10,24,45,68,205,212],plug:[8,121],pm:7,pmatrix:[11,158,170],po:[9,45,212],point:[0,7,8,10,14,15,17,18,20,122,169,170,187,218,260,313,326],polici:5,polynomi:[2,271,272,273,321],popular:[14,215,233],port2:80,port3:80,port4:80,port5:80,port6:80,port7:80,port:[78,79,80,81,82,83,84,85,88,93,233,281,297,298,299,308],portfolio:8,portion:3,posit:[9,15,28,45,70,165,196],possess:10,possibl:[0,3,5,7,8,9,10,15,17,18,24,71,72,81,82,93,165,167,170,185,188,196,197,203,215,218,249,251,256,260,274,289,296,304,311,314,315,320,326],post:55,potenti:[0,1,12,13,14,21,24,25,218,251,315,326],power:[1,2,3,9,14,24,25,46,165,217],powerful:[3,7,9,14],pprm:[2,181],pprm_pt:181,practic:[7,13,212],pre:[7,215,261],prebuild:15,prec:[20,50,207,239,258,259,262,313],precalcul:261,preced:9,precis:[0,7,8,14,15,17,19,20,23,24,35,36,50,77,104,113,125,149,206,207,218,221,239,258,259,261,262,279,313,326],precompil:[1,295],precompiled_qc:[2,176,197],precomput:14,predefin:[1,10,21,212],predic:[8,24,32,76],predomin:2,prefer:[10,166,212,298],prefix:288,prematur:296,prep_allowed_st:8,prep_psi:8,prepar:[8,9,10,11,12,13,14,17,20,21,26,55,64,166,205,207,238,302],presenc:35,present:[0,1,2,8,14,15,18,201,206,212,217,218,250,292,326],preserv:8,presid:5,presolv:2,press:5,presum:14,pretrain:21,pretti:[9,15,16,17,187],prevent:[1,2,3,5,10,246,251,313],previosli:8,previou:[7,8,10,15,80,135,288],previous:[0,2,3,7,8,15,17,18,189,218,295,304,326],primari:24,prime:[14,215],primit:[4,82],principl:[8,10,12,13,15,169,170,215],print:[1,5,7,8,9,10,11,14,15,17,18,27,28,32,36,38,40,42,43,44,50,52,55,56,58,62,65,68,70,71,72,76,79,80,82,95,97,98,102,108,109,112,113,121,124,129,157,165,166,167,168,169,170,171,173,174,175,176,177,178,179,181,182,185,187,189,190,191,194,195,196,197,198,199,200,201,202,204,205,207,208,209,210,211,212,213,214,215,216,224,228,229,233,234,235,236,238,239,242,245,246,247,248,251,257,258,260,261,262,263,271,272,273,274,281,283,289,290,291,292,293,294,295,296,300,301,302,303,309,311,313,314,315,318,320,321,322,323,324,325],print_r:[9,58],prior:[5,192],priorli:185,privaci:5,privat:[48,49,215],pro:15,prob:10,probabilist:9,probabl:[3,7,8,9,10,14,17,20,24,26,35,50,176,178,197,207,214,239,254,322],problem:[0,1,2,3,8,9,10,12,13,14,16,17,18,20,24,26,51,54,55,56,61,63,64,65,170,185,206,217,218,295,326],problemat:70,proce:2,procedur:[1,8,10,14,15,17,170,203,229],process:[0,7,8,9,10,11,12,13,14,15,16,17,18,24,55,93,166,169,170,205,212,217,218,235,296,314,326],processor:[5,7],prod_:[11,12,13],prod_j:70,produc:[0,7,12,13,207,218,326],product:[5,8,14,185,215,233],prof:5,profession:9,profici:16,profil:5,profit:[7,185,215,261],profound:7,program:[0,1,2,4,5,9,10,14,16,18,168,170,208,218,251,289,299,310,326],programm:[0,16,218,326],progress:7,progressbar:[2,3],project:[0,3,5,16,18,218,325,326],promin:8,promis:[11,13,16],propag:8,proper:[1,2,3,24,80,131],properli:[2,17,24,170,212],properti:[8,12,13,14,15,24,209],proport:[7,35],propos:[10,11,12,13,14,24,196],proprietari:5,protocol:[14,214],proud:18,proven:[5,215],provid:[0,4,5,7,8,9,10,11,12,13,14,15,16,17,18,21,24,25,32,51,55,76,80,81,82,93,97,170,203,212,215,217,218,235,288,289,292,296,310,315,326],psi:[17,20,26,187,189,199,223,289,304],psi_0:[12,13,20,26,170],psi_1:[20,26,170],psi_2:170,psi_3:170,psi_f:8,psi_p:[12,13,21],pt2cx:[170,185],pt3cx:202,publicli:18,publish:[5,80],pull:80,pure:[0,6,218,326],purpos:[1,8,17,24,170,235,249,257,296],push:4,put:[8,9,10,15,24,248,311],puzzl:9,py:[80,167,176,197,254],pypi:6,pyplot:[10,24,45,68,205,212],python:[0,2,6,15,17,20,23,26,49,50,80,82,93,166,168,169,176,187,188,189,197,203,205,218,223,238,239,261,312,313,325,326],pytket:[2,80,93,155],pyzx:18,q:[0,8,10,11,12,13,14,17,26,48,49,215,218,259,312,326],q_0:[97,124,170],q_1:[97,124],q_2:[97,124],q_3:[97,124],q_:[11,258,259,262],q_arr_0:[233,260,274],q_arr_1:[233,260,274],q_arrai:[165,171,174,175,176,178],q_array_0:[173,211,260],q_array_1:[165,173,211,260],q_array_2:[165,173],q_array_a:177,q_array_b:177,q_array_c:177,q_array_swap:165,q_bool:294,q_bool_0:[289,311],q_bool_1:[289,311],q_bool_2:[289,311],q_bool_3:311,q_ch:[195,249,257,283,289,311,312],q_ch_0:[238,256,289],q_ch_1:[238,256,289],q_ch_2:238,q_ch_list:238,q_div:313,q_divmod:[213,217],q_iq_j:11,q_jq_i:11,q_matrix:274,q_mult:294,q_str:[208,291,315],q_str_0:315,q_str_1:315,q_str_2:315,q_str_3:315,q_str_nn:315,q_sym:11,q_up_triang:11,q_vector:247,qa:[15,27,28,52,179,206],qa_1:52,qa_2:52,qa_3:52,qa_4:52,qa_5:52,qa_6:52,qa_7:52,qae:[3,20],qaoa:[3,4,15,16,21,51,54,55,217],qaoa_inst:62,qaoabenchmark:[2,61],qaoainstanc:[65,68,70,71,72,212],qaoansatz:[9,10],qaoaproblem:[2,8,12,16,56,66,68,70,71,72,212],qarg:[8,9,10,11,32,55,56,58,59,60,61,62,63,65,68,70,71,72,76,212],qarg_dupl:62,qarg_new:65,qarg_train:65,qasm:[79,82,83,122,123,167,183],qasm_sim:183,qasm_simul:[18,79,80,82,83,93,183],qasm_str:[79,82,123],qb:[9,20,26,28,98,144],qb_0:[7,95,97,107,109,113,121,129,157,303],qb_10:[97,108,124],qb_11:[97,108,124],qb_1:[7,95,97,109,113,121,157,303],qb_20:302,qb_26:300,qb_2:[7,97,109,113,121,157,303],qb_34:[204,301],qb_35:[204,301],qb_36:204,qb_3:[7,97,113,121,157,303],qb_41:293,qb_42:293,qb_4:[97,102,108,121],qb_58:300,qb_59:112,qb_5:[97,102,108,121],qb_60:112,qb_61:112,qb_62:112,qb_6:[97,102,108,121],qb_77:300,qb_7:[97,102,108,121],qb_8:[97,108,124,300],qb_9:[97,108,124],qb_list:303,qbl:[320,322],qbtnode:43,qc:[7,9,18,78,80,82,86,90,94,95,96,97,98,102,107,108,109,112,115,125,129,136,144,149,153,157,164,204,215,217,251,261,302,304,305],qc_0:[97,113,153,185,300],qc_1:[97,113,153,185,300],qc_2:[97,124],qc_fixed_0:185,qc_fixed_1:185,qc_to_extend:121,qch:[17,205],qcla:[3,7,215,245],qcla_2_0:245,qcolor:10,qcolor_0:10,qcolor_1:10,qd:[15,166,206,325],qd_to_zero:206,qdict:[15,206],qdict_calc_perm_travel_dist:[15,206],qdict_compiled_qc:[15,206],qdict_r:15,qf1:[166,228,236],qf2:[166,228,236],qf:[7,17,28,82,83,166,183,189,191,197,199,200,205,210,211,233,246,260,262,274,289,290,292,294,295,299,308,311,317,319,320,322,323,324],qf_0:[17,185,187,193,194,242,254,271,272,273,289],qf_1:[185,187,193,194,242,254,271,272,273,289],qf_a:198,qf_b:198,qf_c:198,qf_inv:262,qf_invers:313,qf_list:[50,239,240],qf_re:[185,187,242,271,272,273],qf_size:[15,206],qf_sum:254,qfloat_typ:[216,281],qfree:[15,170,235,248],qft:[1,3,14,15,17,22,185,189,205,223,234,242,290,292],qft_dg:[205,290],qg:[7,14,215],qiskit:[0,1,2,15,17,18,79,80,81,82,83,93,97,124,144,151,152,153,156,157,164,167,183,197,218,326],qiskit_backend:[79,82,93,167],qiskit_endian:22,qiskit_ibm_provid:17,qiskit_kwarg:157,qiskit_qc:[17,79,82,124],qiskitquantumcircuit:[97,124],qiskitruntimebackend:82,qn:214,qompil:[0,218,326],qpe:[14,15,17,23,50,206,207,239,295],qpe_calc_perm_travel_dist:[15,206],qpe_compiled_qc:[15,206],qpe_r:[14,15,24,35],qrang:[210,217,289],qrisp:[4,6,7,8,9,10,11,12,13,14,15,16,20,21,23,24,25,26,27,28,50,51,52,55,67,68,69,70,71,72,77,78,79,80,81,82,83,93,94,95,96,97,98,164,165,166,167,168,169,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,289,290,291,292,293,294,295,296,297,298,299,310,311,312,313,314,315,325,326],qrisp_qc:62,qrisp_qc_2:[97,124],qrispblu:18,qrispdock:80,qrispdockerbackend:80,qrispertoir:16,qrispi:[9,11,215],qrispier:9,qrispifi:16,qrispifyyi:10,qs:[7,8,9,10,14,15,17,23,24,26,38,40,50,52,164,165,167,168,169,170,173,182,183,185,187,188,190,193,202,203,204,205,206,207,215,224,229,235,238,239,248,251,261,263,289,290,292,293,294,295,296,299,308,311,312,313,314,315,318,320],qs_2:167,qstep_diffus:42,qtype:[9,10,11,15,24,28,165,166,171,173,174,175,176,177,178,181,193,209,211,212,216,247,281],quad:8,quadra_and:170,quadrat:[3,11,16,24],qualiti:[9,21,168,215],quant:[50,239,292],quantinuum:18,quantiti:[7,8,24,56],quantum:[0,3,4,7,8,9,10,11,12,13,14,15,16,18,25,27,29,30,31,35,36,38,41,42,43,46,47,50,51,56,61,63,65,73,74,75,93,96,97,112,128,149,164,165,166,168,169,170,176,177,178,182,187,191,194,197,199,203,204,205,207,212,215,216,217,218,219,223,225,229,235,239,245,247,261,263,281,289,290,292,293,294,295,297,300,304,311,313,314,315,318,320,326],quantum_backtrack:24,quantum_bit_shift:[1,182,318],quantum_condit:289,quantum_count:77,quantum_eq:289,quantum_float:[166,193],quantum_network:[214,297,298,299],quantum_object:9,quantum_sess:168,quantum_step:[24,38],quantumarrai:[0,1,2,9,10,11,15,24,27,28,32,51,52,55,61,62,76,206,209,211,212,216,218,233,247,260,274,281,315,325,326],quantumbacktrackingtre:[1,24],quantumbool:[0,1,7,8,15,17,20,24,26,28,32,36,37,38,39,40,42,43,44,45,76,165,170,185,215,218,229,263,289,294,313,320,322,325,326],quantumchar:[0,17,195,205,218,223,238,249,256,257,283,289,311,315,325,326],quantumcircuit:[0,1,2,3,7,15,17,18,52,62,67,68,69,70,71,72,78,79,80,82,83,90,93,94,95,96,98,102,164,167,168,169,170,176,182,185,186,187,197,202,204,205,214,218,219,224,229,235,248,251,254,263,289,292,293,294,296,300,301,302,304,305,311,318,326],quantumcolor:212,quantumcolor_arrai:[10,212],quantumd:325,quantumdictionari:[0,2,15,206,218,326],quantumenviron:[0,1,167,169,290,291,292,294,295,296],quantumfloat:[0,1,7,8,14,15,17,18,20,23,24,27,28,35,36,37,38,39,40,42,43,44,45,50,52,82,83,165,166,168,171,173,174,175,176,177,178,179,181,183,185,187,189,191,193,194,197,198,199,200,203,206,209,210,211,213,216,218,223,228,233,234,236,239,240,242,246,247,254,258,259,260,261,262,271,272,273,274,281,288,289,290,292,294,295,299,308,311,314,325,326],quantummodulu:[3,7,14,25,215,325],quantumnetwork:[217,298,299,301,304],quantumnetworkcli:[214,299,310],quantumnetworkserv:[214,297,299,300,302,303,304,305,308,310],quantumnetworksess:310,quantumregist:18,quantumsess:[0,15,17,24,102,112,164,168,169,170,173,176,188,190,192,193,197,202,204,205,218,219,225,251,295,296,299,310,326],quantumst:[70,212],quantumstr:[0,208,217,218,291,325,326],quantumvari:[0,1,2,3,7,8,9,11,12,13,14,15,16,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,50,51,52,55,56,58,59,60,61,62,63,65,67,68,69,70,71,72,73,74,75,76,77,80,93,164,165,166,167,169,170,172,173,176,177,178,181,182,183,185,187,204,205,207,212,218,223,224,226,227,228,229,230,231,232,234,235,236,237,238,239,240,241,243,245,248,249,250,251,252,253,254,255,256,257,263,264,265,266,267,268,269,270,275,276,277,278,280,282,283,284,285,286,287,289,290,291,292,293,294,295,296,299,308,309,310,311,312,313,318,319,325,326],quanumarrai:260,qubit:[0,1,3,7,8,9,10,12,13,14,15,17,18,27,28,29,31,32,40,41,52,54,56,67,70,71,72,73,75,76,77,78,80,95,96,97,102,107,108,110,111,115,116,117,118,119,121,126,127,128,130,131,132,133,135,137,138,139,140,141,142,143,144,145,146,147,148,149,150,153,158,159,160,161,162,163,164,165,169,170,171,172,174,178,185,188,191,192,194,195,196,197,198,199,201,203,204,206,212,214,215,218,219,224,226,227,228,229,230,231,232,234,235,236,237,241,243,245,248,249,250,251,252,253,255,256,257,261,264,265,266,267,268,269,270,275,276,277,278,280,282,283,284,285,286,287,289,291,292,295,300,302,303,304,305,310,312,313,315,320,322,323,326],qubit_0:214,qubit_1:214,qubit_2:168,qubit_amount:[54,56,58],qubits_0:[116,117,118,119,138,141,145,161,226,227,265,268,275,285],qubits_1:[116,117,118,119,138,141,145,161,226,227,265,268,275,285],qubo:[4,12,13,15,16,18,21,212],qubo_cost_oper:11,qubo_inst:11,qubo_obj:11,qubo_problem:11,quboproblem:11,queri:[1,3,7,17,79,93,169,172,210,304],quest:7,question:[5,21,170,215],queue:170,quick:[50,55,197,207,239],quicker:187,quickli:[10,24,93,97,168,174,194,289,293,295],quit:[7,215],qulac:[80,93],qunicorn:[78,79,80],quot:5,quotient:[14,213,258,259],qv1:80,qv2:80,qv:[8,9,11,15,17,19,22,23,29,30,31,32,33,50,65,73,74,75,76,77,93,164,165,167,168,185,187,190,192,196,201,203,204,206,207,224,239,291,292,293,296,308],qv_0:[203,235,289],qv_1:[9,192,203,235,289],qv_2:203,qv_a:167,qv_b:167,qv_list:[50,239,254],qv_p:9,qx:8,r:[7,8,9,10,12,13,14,38,80,212,259,261,312],r_:67,r_a:40,r_b:40,r_br_a:41,r_candid:14,radial:8,radian:205,radix:261,radix_bas:[245,261],radix_expon:[245,261],rais:[10,14,15,20,23,28,50,102,104,105,109,151,175,176,177,178,180,181,182,184,192,195,196,197,198,199,201,206,239,247,249,254,256,260,261,263,274,289,313,317,318,320,322,323],ran:[11,215],rand:9,randint:[209,214],random:[9,10,11,14,55,61,63,65,209,212,214],randomli:[15,185,247],rang:[1,9,10,11,12,13,14,15,17,18,20,24,50,71,72,80,97,108,109,115,121,124,136,168,205,206,207,209,212,217,239,290,292,295,296,313],rangl:[9,11,12,13,20,26,187],rank:9,raphael:5,rare:[3,169],rat:14,rate:207,rather:[7,10,15,166,198,251,314],ratio:[9,56,58],ration:14,raw:[0,218,326],re:[1,2,8,9,10,11,12,13,15,16,17,18,20,21,23,24,25,36,50,55,65,68,70,71,72,83,93,100,101,166,171,173,176,185,206,207,211,212,233,235,239,248,260,262,263,274,289,304,314],reach:[5,8,15,39],read:[1,2,3,7,17,21,22,25,39,70,80,175,215,251],readabl:[5,10,17,18,47,168,171,191,195,203],reader:8,readi:[8,12,13,16,17],readibl:24,readthedoc:79,real:[0,8,81,167,218,326],realiz:[7,10,15,93,166,209,214,290,299],realli:[9,12,13,170,215,295],realm:[1,7,13,14,16,25],realtion:71,reap:170,reason:[5,7,9,10,14,144,247],receiv:[3,5,8,15,17,20,23,26,36,55,79,82,93,120,186,205,207,223,229,302,309,310,324],received_qubit:[214,302,305],received_qv:309,recent:[0,168,215,218,326],reciepi:305,reciev:[17,82,166,171,176,191,197,199,205,223],recip:[9,10,21,170,212],recipi:[5,305,308],recipient_0:214,recipient_1:214,recogn:5,recommend:[8,14,15,17,206,314],recompil:[185,251],recomput:[15,16,192,202,206],record:295,recov:72,recreat:15,rectif:5,recurs:[1,24,251,261],recycl:[8,17,18,170,251],red:[10,18,212],redefin:170,redetermin:15,redirect:263,redirect_qfunct:294,redirected_and:263,redirected_funct:263,reduc:[3,7,8,14,15,16,23,28,167,170,185,215,260,261,295],reduced_maslov:185,reduct:[1,14,314],refer:[1,5,9,17,18,40,217,321],refin:9,reformul:15,refresh:9,reg:[168,169,196,201],regard:[2,5,8,9,32,61,76,221],regardless:[18,135],regist:[0,5,14,15,17,167,168,169,173,183,188,190,193,203,218,219,295,296,326],registr:5,regul:5,regular:[0,1,7,14,50,165,168,205,206,207,218,223,239,289,310,324,326],regularli:5,regulatori:5,reject:[1,2,24,34,36,37,38,39,40,42,43,44,45],rel:[7,9,10],relabel:7,relat:[2,5,8,17,21,71,72,166,185,203],relationship:8,releas:[1,2,80,314],relev:[7,17,55,169,170,215,235,314],reli:[8,14,215],reliabl:203,remain:[1,10,206,215],remaind:[213,217,258,259],remark:9,remedi:[7,8,295],rememb:[12,13,24,144,215],remot:[0,3,93,218,326],remov:[2,185,201,296],renam:[9,168],render:[17,187],reorder:185,repeat:[7,12,13,14,15,23,295],repeatedli:[15,18],repertoir:3,repetit:[9,56,58,59,60,61],replac:[1,16,70,97,170,185,251],repo:93,report:[5,81],repositori:80,repres:[0,7,8,9,10,12,13,14,15,17,20,21,23,24,26,42,43,54,65,70,71,72,90,94,97,154,155,164,171,178,187,191,203,205,206,218,251,304,311,312,313,314,326],represent:[0,31,39,75,187,218,314,326],repurpos:18,request:[1,5,79,93,298,304],request_qubit:214,requir:[5,7,8,10,14,15,21,24,35,80,102,149,166,169,170,178,185,192,199,202,212,215,235,251,260,279,295,313,315],requirementsdock:80,res_arrai:28,res_bit_shap:[260,274],res_bool:289,res_list:302,res_onehot:10,res_q_bool:289,res_sampl:9,res_str:[9,10,212],res_str_onehot:10,resdict:70,research:[0,7,9,18,215,218,326],resembl:15,reserv:5,reservoir:[7,22],reset:[9,17,170,192],reshap:[0,165,216,218,281,326],resid:5,resolv:8,resourc:[7,8,14,15,17,18,24,102,170,185,215,229,242,251,298,314],respect:[5,8,10,11,12,13,18,20,21,24,79,80,251],respons:5,rest:[10,15,93],restart:14,restrict:[5,112,170,225],result:[1,2,3,7,9,10,11,14,15,17,18,20,21,24,35,54,56,58,59,60,61,63,65,67,68,69,70,71,72,79,82,93,95,131,136,151,165,166,169,170,171,176,185,193,194,197,199,205,206,209,210,214,215,223,233,235,242,248,253,258,260,261,262,263,271,272,273,274,281,288,289,292,293,294,295,296,304,311,313,314,320,325],retain:14,retriev:[1,15,17,39,43,144,165,166,187,204,205,206,214,293,300,301,319,322,323],retroact:251,retur:93,return_root:43,return_typ:[15,166,181,187,206],reus:[3,7,15,17,170,185],reveal:14,revers:[15,22,24,65,68,70,71,72,121,129,144,170,175,195,209,212,247,249,256,257,283],revert:[10,15,170,206,294],revisit:10,revolution:[14,25],revolv:1,reward:10,rgb:18,rgqftmultipli:18,rigetti:[18,80,93],right:[7,8,9,14,15,16,20,50,166,185,187,189,198,207,212,215,223,239,289],rightarrow:[7,8,11,14,20,32,35,40,76],rightsquigarrow:38,ring:[10,14],risk:8,rnd:9,rndfo:9,role:314,room:[12,13],root:[24,37,38,39,40,43,44,80],rotat:[7,9,29,31,73,75,102,248],roughli:[15,203],round:[15,125,187,209,324],rounded_valu:324,rout:[16,206],routin:[12,13,164],row:11,rsa:[14,49,215],rsa_decrypt_str:215,rsa_encrypt_str:[47,215],rule:[5,71,72,144],run:[0,3,7,8,9,10,11,12,13,17,18,21,24,54,55,56,58,60,61,62,68,70,71,72,78,79,81,82,83,93,94,95,97,185,212,214,215,217,218,245,295,298,299,300,302,305,326],run_data:56,run_func:[79,80,82,84,90,93],runtim:[2,54,56,58,81,82,120,185,186,235],rx:[9,10,29,62,73,102,149,204,212],rx_mixer:[9,10,11,55,65,68,70,212],rxgate:102,ry:[20,26,179,187,200,248,267],rz:[7,9,11,30,74,149,157,227,279,292],rz_mixer:[71,72],rzz:11,s:[0,4,5,8,9,10,11,12,13,15,16,18,24,31,36,46,51,65,70,71,72,75,80,82,105,112,134,143,153,164,165,168,170,175,185,187,195,199,202,205,210,212,214,217,218,223,229,239,242,248,249,251,256,257,260,270,283,288,289,291,294,296,303,304,305,312,314,316,326],s_0:15,s_1:15,s_i:15,s_j:[71,72],s_k:15,s_n:15,sacr:10,sacrif:9,saeedi:2,safe:[260,274],sai:[8,9,24],said:[5,215],salesman:[16,18,51,206,217],same:[0,9,10,15,18,21,24,34,61,78,82,93,97,108,125,149,165,177,185,193,198,203,206,215,218,242,251,254,263,292,295,296,305,326],sampl:[9,10,14,20,289],sampler:[80,82,93],san:5,sandra:5,sat:[1,12,13,21,24,51,212],satisfact:51,satisfi:[8,20,24,32,67,70,76,258,259,262],save:[5,57,134,197,242,312],saw:8,sbo:14,sbp_anc_0:17,sbp_anc_1:17,sbp_anc_2:17,sbp_anc_3:17,sbp_anc_4:17,sbp_anc_5:17,sbp_mult:[185,242,295],scalabl:[3,18,203],scalar:[233,274],scale:[7,18,166,215,235,248,251,261,295],scenario:215,scheme:[10,212],scienc:[0,9,18,215,218,326],scientif:[0,2,8,10,218,229,326],scipi:9,scope:[11,185],score:9,screen:8,script:[17,18,80,214,217,251,289],scroll:9,search:[3,7,8,14,15,16,17,18,24,51,195],season:10,second:[7,8,9,14,15,17,28,54,56,100,108,110,165,169,170,178,185,226,227,233,235,242,245,254,256,260,265,268,271,272,275,281,282,285,296,311,313],section:[5,7,8,9,10,11,12,13,24,80,170,212,217,229,288,290,311],secur:[14,215],see:[7,8,9,10,11,12,13,14,15,17,18,24,38,40,42,50,68,69,70,71,72,80,149,165,166,169,170,182,185,207,215,223,239,251,289,290,313,318,319],seed:[65,66,68,212],seem:[7,15,170,289],seen:[8,12],seidel:5,select:[5,9,10,15,56],self:[0,10,16,34,36,44,100,112,121,134,144,149,151,187,193,218,242,296,319,320,325,326],semant:[176,178,185,233,281,296],semi:[261,271,272,273,321],send:[5,11,93,302,304,305,308,310],send_qubit:[214,301,302],send_qv:309,sens:[10,157,193],sensit:14,sent:[5,8,299,302],separ:[5,8,9,10,11,12,13,18,21,82,169,298],seper:[71,72],sequenc:[3,8,12,13,27,170,185],seriou:[170,215],serv:[5,10,165,203],server:[5,14,78,79,80,82,89,90,91,92,93,214,298,306,307,310],server_ip:93,servic:[2,5,81],session:[1,2,5,81,167,296],set:[1,3,5,7,8,9,10,11,12,13,16,17,20,21,22,23,24,28,38,40,43,50,55,56,64,67,71,72,82,93,113,134,149,157,165,170,172,173,185,187,192,193,197,201,202,203,212,234,235,239,240,242,246,248,251,252,258,259,260,261,262,294,295,296,298,300,311,312,319],set_init_funct:[8,10,21,65,68,70,71,72,212],set_shap:165,seto:[71,72],setup:[8,79,80,93],sever:[0,3,8,12,13,15,17,21,58,59,60,61,80,185,218,238,251,254,261,288,326],sh:80,shall:[10,215],shape:[4,9,10,11,28,165,173,175,177,178,179,180,209,212,216,247,260,274,281],share:[10,214,315],share_bell_pair:214,shell:80,shield:5,shift:[1,2,7,15,29,30,31,51,73,74,75,182,206,240,314,318,320],shift_amount:[27,320],shini:215,ship:[5,18],shop:5,shor:[4,16,18,51,217,314],shors_alg:[25,215],shortcut:10,shorter:[8,18],shortest:15,shorthand:[170,174,177,194,198,199,235,248],shortli:[8,9,17],shot:[1,9,54,56,58,61,78,79,82,86,90,93,97,136,176,197,214,254,299,304],shot_rang:[9,56,58,59,60,61],should:[7,8,9,14,17,23,24,28,32,41,55,58,61,70,76,79,80,82,93,95,120,121,149,166,170,173,176,185,186,187,193,196,197,201,205,225,228,234,236,240,248,279,295,296,298],show:[2,3,8,9,10,11,24,45,68,204,205,212],showcas:[9,10,12,13,17,18,50,206,207,210,211,214,215,216,217,239],shown:[0,9,15,218,326],side:8,sight:3,sigma:[8,15],sigma_:[50,207,239],sign:[14,17,27,50,70,166,181,189,191,193,194,205,210,216,223,233,239,246,260,274,281,289,313,317,321],signal:28,signatur:229,signficantli:8,signif:170,signifcantli:229,signific:[3,17,24,61,165,170,197,215],significantli:[0,7,10,15,18,24,187,215,218,261,295,296,326],silq:[0,218,248,326],similar:[0,7,8,9,10,15,24,27,58,151,164,165,166,176,178,212,216,218,233,251,281,314,315,326],similarli:[10,12,13,212,291],simpl:[0,3,8,10,14,15,17,18,25,77,80,170,215,218,235,295,326],simpli:[1,5,6,8,10,11,15,17,23,93,128,165,170,215,251,296,311,314],simplic:[9,10,215],simplifi:[7,9,14,15,170,296],simul:[0,1,2,4,7,8,9,10,11,15,17,18,36,46,47,79,80,82,83,93,144,167,170,172,183,187,192,205,210,214,215,217,218,279,281,298,299,304,310,326],simulati:80,simulator_statevector:81,simultan:289,sin:[20,26,158,204,205],sinc:[0,7,8,9,10,12,13,15,16,17,18,21,72,164,165,166,170,187,203,206,212,218,235,248,251,296,309,314,325,326],singl:[1,8,11,14,15,23,29,73,169,170,214,235,242,245,251,292,293,295,299,304,311],singular:[8,212],sit:190,site:5,situat:[1,5,7,169,170,185,235,292],situt:1,size:[7,10,12,13,14,15,17,20,24,28,50,68,69,165,168,188,193,205,206,207,209,212,215,239,246,260,261,263,289,290,292,313,315,325],skill:10,skip:[8,22,170,235,296],sleev:10,slice:[0,17,165,174,177,198,218,326],slightli:[15,251],slim:17,slit:[8,10],slow:[14,295],slowli:9,small:[0,5,8,218,235,248,326],smaller:24,smallest:7,smartphon:5,smirk:215,smooth:5,smoothli:[2,18,164,325],snip:[15,169],snippet:[14,17,18,93,164,170,289,296,325],so:[3,5,7,8,9,10,11,14,15,16,70,97,170,205,215,223,298,301],socket:[78,79,298],socket_ip:[78,88,214,297,298,299,300,302,303,304,305,308],softwar:[0,218,326],sol:[71,72],sol_set:[71,72],sole:5,solid:[0,9,10,16,17,218,326],solut:[0,3,5,7,8,9,10,11,12,13,14,15,17,18,21,24,35,36,51,54,56,61,65,68,70,71,72,77,80,207,212,217,218,289,326],solutin:14,solv:[1,3,9,10,11,12,13,14,16,18,21,24,51,170,212,215,217],solve_qubo:11,some:[0,1,2,3,7,8,9,10,11,12,13,14,15,17,18,21,24,56,93,97,109,144,166,169,170,185,187,190,192,196,202,206,212,214,218,260,263,288,289,291,293,296,300,308,311,325,326],some_function_creating_a_quantum_sess:169,some_librari:93,some_quantum_algorithm:93,some_quantum_funct:164,some_quantum_function_qc:164,someth:[10,16,27],soon:169,sophist:[0,218,296,326],sort:[11,15,65,68,70,71,72,212],sorted_costs_and_solut:11,sourc:[0,3,5,9,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,165,166,167,168,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,218,223,224,225,226,227,229,230,231,232,233,234,235,237,239,241,242,243,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,311,312,313,314,315,316,317,318,319,320,321,322,323,324,326],space:[3,8,11,12,13,15,16,24,28,32,76,77,185],span:8,spare:7,spark:[0,218,326],spars:[3,18,251],speak:203,special:[5,7,8,10,16,17,296],specif:[0,1,2,3,5,8,9,10,12,13,21,23,24,32,55,63,64,76,80,90,93,123,166,170,185,212,218,229,260,261,274,288,326],specifi:[3,7,8,9,10,11,15,17,21,23,24,25,27,28,32,36,38,44,50,52,56,58,61,63,76,79,80,82,96,101,109,112,134,165,166,167,168,169,171,174,176,180,183,185,187,189,191,196,197,199,201,204,206,212,223,225,229,235,239,240,248,251,252,253,261,263,294,296,303,305,313,314,315,321,323,325],specifii:[82,205,212],spectrum:10,speed:[0,2,3,7,9,24,112,185,218,225,261,295,326],speedrun:10,speedup:17,splash:[12,13],split:[8,11],spoil:10,spoiler:9,spukhaft:305,spy:25,sqrt:[7,8,12,13,14,17,18,20,26,38,50,187,189,199,207,216,223,239,281,289,304,311,313,320],sqrt_oracl:17,squar:[14,17,242,294,295],st:196,stabil:5,stack:[0,202,218,296,326],stage:[0,7,16,185,218,326],stai:[4,7,8,70,170],stand:[12,13,14,25,170,261],standalon:204,standard:[0,5,10,28,50,56,207,218,239,326],start:[6,8,9,10,14,16,17,18,24,39,44,70,79,80,93,214,215,297,298,299,300,302,303,304,305,308],start_tim:[212,295],starting_d:325,state:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,28,29,31,32,37,38,42,43,50,51,55,64,68,69,71,72,73,75,76,77,97,102,128,130,135,166,170,172,173,174,177,178,185,187,189,191,192,193,194,197,198,199,201,205,206,207,212,214,215,216,218,223,238,239,240,250,251,252,256,260,281,289,291,304,320,322,326],state_d:199,state_funct:[20,26,238],statement:[11,17,80,289,296,311],statevector:[2,3,7,8,17,18,24,26,38,40,43,45,50,144,204,205,207,216,239,251,281,289,311,313,320],statevector_arrai:[204,251],statist:[9,61],statu:[5,170],statutori:5,stdlib:134,steadili:7,step:[0,2,3,8,9,10,14,15,16,17,35,38,41,42,80,93,170,212,214,218,248,292,314,326],stick:212,still:[0,3,5,7,8,9,14,15,17,24,185,215,218,251,256,261,324,325,326],stimul:16,stochast:1,stock:8,stop:[5,12,13],store:[5,18,131,168,170,203,233,242,253,260,271,272,273,274,304,313],stori:215,str:[56,58,60,79,81,82,90,98,102,110,130,151,187,214,242,249,250,251,252,256,259,260,274,291,297,298,299,302,305,308],straight:67,straightforward:[1,9],straightfowrad:212,strategi:[7,15],streamlin:[1,15,18],strength:8,strictli:5,string:[0,9,10,23,28,47,49,57,59,61,63,70,78,79,81,82,93,94,96,97,98,122,123,130,134,152,153,181,187,188,190,193,197,212,218,235,293,300,304,305,315,326],strong:[17,18],stronger:1,strongli:14,structur:[1,4,5,7,10,12,13,16,18,21,24,55,82,169,170,203,212,215,216,224,254,261,290],stuart:[12,13],stumbl:215,style:10,stylist:2,su:290,sub:[3,261,296],subclass:[165,203,313,325],subcollect:[71,72],subgraph:[8,9,12,13,21],submit:[300,304],submodul:[51,169],subroutin:[14,15,17],subs_dic:[97,101,109,176,197],subs_dict:204,subscript:5,subsequ:[7,8,14,17,21,24,93,97,109,170,214,324],subset:[68,69,71,72,212],subspac:[8,24,40],subspace_optim:24,substitut:[2,70,97,109,176,197,204],subtract:[273,313,314],subtre:24,subtyp:[176,314],success:[15,242],successful:[170,192],successfulli:[10,21,170,212],successor:15,suffic:8,suffici:[0,14,35,218,326],suggest:9,suit:[8,56,190,203,242,258,262,271,272,273],suitabl:[5,7,45,209,215],sum:[8,9,10,11,14,15,20,187,206,212,289],sum_:[7,8,9,11,14,15,38,50,166,170,189,198,207,210,216,223,239,281,289],sum_z:[12,13],summand:[271,304],summand_1_qf:[271,273],summand_2_qf:[271,273],summar:[9,14,17,24],summat:7,superposit:[8,9,10,12,13,14,16,17,20,26,27,170,177,190,197,198,205,206,207,216,223,246,281,289,294,311,319],supervisori:5,suppli:[2,15,50,94,98,130,157,166,185,239,291],support:[0,3,24,32,50,76,80,93,102,165,170,174,181,194,207,218,239,242,261,304,310,313,314,320,324,326],suppos:[28,170,185,188,191,263,291,324],suppress:8,sure:[8,14,55,61,170,296],surpress:194,surpris:15,sv:187,sv_function:[187,205],sv_phase_arrai:205,swap:[8,11,15,22,28,71,72,206,229,292],swap_to_front:[15,206],swapax:165,sx:[147,157,277],sym:11,symbol:[2,9,18,29,30,31,33,62,73,74,75,97,101,109,116,125,126,133,137,138,139,140,141,158,161,176,187,197,204,226,227,237,240,250,255,264,265,266,267,268,282,285],symmetr:11,sympi:[9,14,17,29,30,31,33,42,62,73,74,75,97,101,109,116,125,126,133,137,138,139,140,141,158,161,176,187,197,204,226,227,237,240,250,255,264,265,266,267,268,282,285,321],syntact:221,syntax:[0,16,17,122,123,205,218,223,261,326],synth_method:[166,181],synthed_op:96,synthes:[7,17,96,102,110,125,130,157,205,206,223,251],synthesi:[0,2,3,7,149,166,181,189,203,218,251,252,279,326],system:[0,5,7,9,18,80,134,215,218,326],systemat:14,t:[3,8,9,10,11,12,13,14,15,16,24,35,65,70,80,97,115,124,149,150,170,182,185,205,206,215,223,251,261,279,280,288,296,300,304,312,318],t_depth:[3,7,215,251,261],t_depth_ind:[7,185,215,261],t_depth_reduct:261,tabl:[9,12,13,212],tablet:5,tackl:[9,10,12,13,15,16,17,21],tag:[17,20,26,50,170,207,239,240],tag_dic:[50,239,240],tag_specif:240,tag_stat:[50,207,239],tage:5,tailor:[10,12,13],take:[2,3,7,9,10,12,14,15,16,17,21,24,32,39,67,68,69,70,71,72,76,80,95,120,185,186,205,212,215,223,260,274,290,295],taken:[0,12,13,24,218,295,326],tar:20,target:[7,20,23,51,78,80,110,117,118,119,130,170,185,230,231,232,242,251,263,288,294],target_qubit:[110,130,216,281],task:[0,2,10,14,15,18,25,203,218,288,326],tax:5,td:15,tdepth:149,tdg:7,teach:[8,14],team:[12,13,212],technic:[5,18,313,321,325],techniqu:[7,8,10,12,13,16,21,185,251,292,296,314],technolog:[0,218,326],tediou:[0,170,218,326],telamon:214,telephon:5,teleport:[7,217],teleport_qubit:214,teleported_qubit:214,tell:[7,10,15,17,185,187,192,261],temp:[9,71,168,212,295],temp_1:168,temp_2:168,temp_3:168,temp_op:169,temp_qbool:17,temp_qf:[15,206,289],temp_qv:289,temporari:[7,17,170,251,289],temporarili:[5,24,169,202,251],tend:9,tensor:[8,187,203,216,223,313],tensordot:216,tent:[7,251],term:[0,5,7,10,15,32,56,76,170,215,218,261,326],termin:[5,210],terminal_op:242,test:[0,8,9,10,11,14,15,17,32,50,76,185,207,215,218,229,239,245,249,257,310,326],test_client2:80,test_client3:80,test_client4:80,test_client5:80,test_client6:80,test_client7:80,test_client:80,test_itinerari:15,test_oracl:[50,239,240],testament:[14,25],testcostfun:[71,72],text:[5,7,8,11,14,15,17,18,20,23,24,35,50,56,67,149,166,170,187,189,197,198,205,207,212,215,223,239,247,279,289,290,304,313,314],textbook:14,textcolor:18,textgrai:18,texttt:18,th:[10,11,14,15,17,28,70,149,165,189,212],than:[0,3,5,7,8,9,10,14,15,18,24,35,170,187,192,215,218,242,250,289,292,294,326],thank:13,thapliy:259,thebe:[2,11,14],thei:[0,3,5,7,8,9,10,12,13,17,18,24,32,71,72,76,96,126,165,170,187,207,215,218,248,251,261,296,300,304,311,326],them:[2,3,5,9,12,13,15,17,24,61,70,95,97,109,164,167,168,169,170,174,187,194,213,315],themselv:[8,167,296],theniceqaoa:[68,70,212],theoret:[8,9,13,14,21,207],theori:[8,11,16],therebi:7,therefor:[7,8,9,10,14,15,17,20,21,24,26,65,149,166,169,170,210,251,292,295,296],theta:[9,20,158,204,282],theta_a:26,thi:[0,1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,30,31,32,38,39,43,45,50,51,54,55,56,61,65,67,70,71,72,74,75,76,77,78,79,81,82,83,93,94,95,96,97,98,102,105,109,112,113,120,121,124,125,134,135,144,149,153,164,165,166,167,168,169,170,171,172,173,174,175,177,178,181,182,183,184,185,186,187,188,189,190,191,192,194,195,196,197,198,199,202,203,204,205,206,207,209,210,211,212,214,215,216,217,218,221,223,225,228,229,234,235,236,237,239,240,242,245,246,247,248,249,251,252,254,256,260,261,263,279,288,289,290,291,292,293,294,295,296,297,298,299,300,301,304,309,310,313,314,315,318,320,321,322,326],thing:[7,9,10,17,21],think:[0,10,16,215,218,251,326],third:[5,7,70,164,185,282],third_party_qiskit_modul:164,thorough:9,those:[5,12,13,15,288],though:[0,7,15,24,61,170,206,218,242,251,326],thought:[0,17,215,218,326],thread:[82,298],three:[21,67,170,185,187,254,290],threshold:[15,206,289],thrift:93,throttl:7,through:[1,5,7,8,9,10,11,15,16,80,81,83,165,166,168,185,205],throughout:7,thu:[0,7,8,15,192,218,223,320,326],thumb:144,tightli:18,tild:[8,14,20,24],time:[1,3,5,7,8,9,10,11,12,13,14,15,16,23,54,56,93,102,120,125,165,169,170,185,186,212,214,235,242,248,251,254,295],timedelta:325,titl:[5,10,203,217],tl:5,tn:35,to_gat:[96,97,108,153,164,235],to_op:[96,151,169],to_qiskit:[1,17],todai:[0,218,325,326],todo:[14,212],toffoli:[110,170,206,215,251],togeth:[0,2,9,11,12,13,15,17,96,170,206,218,251,326],token:[78,79,81,82,85,90,93],toler:[3,14,16,149,170,215,251],tolerantli:[256,257],tomorrow:325,too:[11,165,170,203,256,299],took:[24,56],tool:[7,9,12,13,14,17,80,203,215,288],top:[8,9],topolog:[3,9],total:[9,70,185],total_count:10,toward:[0,7,218,326],toy_gate_spe:7,tqa:[9,61,63],tqafo:9,tqx:11,trace:11,track:[5,9,214],trade:5,trademark:5,train:65,train_circuit:65,train_funct:[3,21],training_func:65,transact:5,transfer:[0,1,214,218,310,326],transform:[7,14,15,17,25,51,102,113,189,205,214,223,242,292],transit:[9,10,12,13,21,29,31,73,75,164],translat:11,translation_d:121,transmit:5,transpil:[7,95,120,186,197,229,235,290],transpilation_kwarg:197,transpilation_level:157,transport:5,transpos:209,trap:292,travel:[16,18,51,206,217],travers:[24,250,251],treat:[0,2,15,170,218,288,311,326],treat_overflow:246,treatment:55,tree:[36,37,38,39,40,42,43,44,45,261],treshold:261,tri:[10,17,23,28,102,105,151,168,175,176,177,178,181,182,184,192,194,198,199,206,247,249,254,256,260,261,263,274,283,289,317,318,320,322,323],triangular:11,trick:[7,10],tricki:14,trigger:187,trip:[15,206],trip_dist:[15,206],triple_and:[170,185],triu:11,trivial:[2,3,14,17,18,24,36,44,113,165,167,169,170,185,295],trojan:5,trotter:8,trust:10,truth:[251,289,291,311],tsp:[1,16,24,51,217],tt:56,tune:[4,7,8],tupl:[15,70,71,72,166,176,178,180,254,281,302],tuple_list:178,turn:[14,15,96,97,151,164,167,169,170,171,175,189,191,195,205,223,237,261,263,294,317],tutor:12,tutori:[2,3,6,7,8,9,10,11,12,13,14,15,17,18,21,25,32,55,76,80,206,212,215,217],tweek:[15,206],twice:[2,15],two:[3,5,7,8,9,10,12,13,14,15,17,18,23,24,31,44,50,56,66,75,80,95,100,113,121,167,168,169,170,185,194,202,203,211,214,215,228,233,234,235,236,239,240,242,251,260,261,263,271,272,273,274,289,305,314],txt:80,type:[0,2,3,5,10,11,12,13,14,16,17,18,19,21,61,80,126,128,134,165,166,168,171,181,187,191,193,197,199,203,212,218,259,311,326],u3:159,u:[5,10,12,13,14,15,17,23,50,170,197,207,239,290,312],u_1:14,u_:[7,8,14,15,166,170,189,198],u_c:11,u_f:8,u_m:[12,13],u_p:[9,12,13],u_x:14,un:170,unaffect:170,unalloc:192,unauthor:5,unchang:[170,192],unclear:7,uncom:9,uncompiled_gidney_mcx:251,uncompiled_gidney_mcx_inv:251,uncompiled_jones_toffoli:251,uncomput:[1,3,7,15,17,18,24,50,71,72,102,166,167,185,192,206,207,235,239,242,248,251,256,258,260,261,263,288,289,290,294,295,296,311],unconstrain:[11,68,69,212],uncostrain:3,uncov:[0,218,326],undefin:10,undefined_label_6:190,undefined_label_7:190,under:[1,3,5,7,8,10,12,13,14,24,38,40,93,129,215],undergo:[7,296],underli:[3,15,176,197,221,288],understand:[0,7,8,9,10,11,14,15,16,17,51,170,187,217,218,251,326],understood:8,undertaken:4,undu:5,unequ:24,unfit:[247,274],unfortun:[15,80],uniform:[0,3,15,17,170,190,205,206,216,218,223,281,294,311,319,326],unintent:1,unintet:1,union:72,uniqu:[0,9,10,12,13,14,168,185,188,193,218,251,326],unit:[3,7,185],unitari:[3,8,9,11,12,13,17,20,21,23,26,51,102,104,105,113,125,151,158,170,204,216,235,251,281,290],unitary_arrai:159,univers:[35,71,72],unknown:[149,195],unlaw:5,unless:[5,168],unlik:15,unlock:[1,249,257],unobstruct:5,unreach:1,unseen:[0,218,326],unsigend:165,unsign:[17,313,317,320,322],unspecifi:[176,197],unstructur:[17,24,51],unsubscrib:5,unsur:[42,235,248],until:[0,7,9,12,13,169,170,218,326],unveil:1,unwieldi:289,up:[0,2,3,5,7,8,10,11,14,16,17,20,24,28,38,40,56,80,82,149,170,187,192,215,218,235,258,259,279,289,295,296,298,300,313,319,326],upcom:10,updat:[1,2,3,9,16,188,214,304],upgrad:[4,12,13],upon:[215,296],upper:11,us:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,28,29,31,46,47,48,49,50,51,56,59,61,66,70,73,75,79,81,82,83,90,93,95,96,97,102,109,112,113,126,134,149,153,157,164,165,166,167,168,169,170,174,181,184,185,187,189,192,196,199,202,203,204,205,206,207,210,212,214,215,216,217,218,223,225,229,235,239,248,249,251,252,254,256,259,261,281,288,289,290,291,292,293,294,295,296,297,298,299,310,311,312,313,314,322,325,326],usa:5,usag:[5,24,51,166,289,314],use_gm:[22,292],use_iter_env:295,useful:[8,242,296],user:[0,3,14,17,24,32,56,58,76,164,167,169,185,218,245,249,256,296,297,299,314,326],usual:[7,8,11,170,185],util:[3,5,8,10,18,25,80,93,185,197,203,209,211,215,217,288],utilizi:215,utmost:215,v:[5,17,18,68,69,170,212,290,312],v_f:8,val:[65,68,70,71,72],valid:[3,8,108,113,134,212],valu:[0,1,3,7,9,10,11,12,13,14,15,17,20,21,24,27,28,29,30,31,32,56,70,71,72,73,74,75,76,90,93,101,109,121,165,166,170,171,173,174,181,182,187,190,191,194,195,197,199,201,205,206,212,218,223,228,234,236,240,247,251,261,263,289,291,304,311,313,316,318,319,320,322,323,324,325,326],value_qv:[166,181],vanish:3,vari:[8,9,15,259],variabl:[7,8,10,11,15,17,18,20,24,26,29,30,31,39,63,65,67,70,72,73,74,75,166,167,168,169,170,181,188,197,202,205,212,215,223,263,289,294],varianc:9,variat:[7,12,13,21],varieti:[2,3,7,8,14,18,21,51,61,185,296],variou:[2,9,11,12,21,217],vast:[0,218,326],vat:5,ve:[4,9,10,13,16,215],vector:[8,209,217,233,247],vendor:3,veri:[0,2,7,8,24,97,120,164,170,186,215,218,229,251,326],verif:[3,201,248],verifi:[3,7,8,14,15,17,170,172,185,192,201,235,238,240,244,248,261,294],vers:40,versatil:1,version:[3,5,6,7,8,11,12,13,14,17,24,36,38,50,80,102,170,182,185,206,215,217,229,239,248,250,261,292,294,314,317,318],vertex:212,vertic:[68,69,71,72,212],via:[0,3,5,8,10,17,32,76,80,93,203,214,218,251,254,296,310,314,326],viabl:10,vibrant:10,vice:40,video:5,view:[5,14],violet:10,virtual:[9,82],virtual_backend_inst:82,virtualbackend:[0,3,81,83,218,326],virtualqiskitbackend:[17,82,167,183],virus:5,vision:7,visit:[5,6,7,15,17,24,35,45,314],visual:[9,21,24,45,61,97,167,187,205,224],visualis:[3,235,293,296],visualize_statevector:24,voila:9,volum:[9,56],voyag:212,vpn_test_exampl:80,vqe:15,vr:5,vrtl_qasm_sim:[93,183],vs:[7,18],w:312,wa:[8,9,15,2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0.1","Qrisp 0.2","Qrisp 0.3","Qrisp 0.4","Changelog","Imprint","Setup","Fault-Tolerant compilation","Channelled Constrained Mixers","MaxCut QAOA Implementation","Max-$\\kappa$-Colorable Subgraph QAOA Implementation","QUBO as a QAOAProblem Problem Instance","Theoretical Overview","QAOA implementation and QAOAProblem","Shor\u2019s Algorithm","Solving the Traveling Salesman Problem (TSP)","Tutorial","Getting familiar with Qrisp","Key Features","HHL","Quantum Amplitude Estimation","Quantum Approximate Optimization Algorithm","Quantum Fourier Transformation","Quantum Phase Estimation","Quantum Backtracking","Shor\u2019s algorithm","Quantum Amplitude Amplification","Iterable Shifting","Iterable 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93,95,97,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,153,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,181,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,203,205,206,208,209,212,214,215,218,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,289,290,291,292,293,295,296,297,298,299,301,303,304,305,308,309,310,312,313,314,315,318,319,320,321,322,323,324,325,326],Their:313,Then:[9,20,26,71,72],There:[15,164,170],These:[1,3,8,11,15,25,206,217,219,220,242,288],To:[0,5,7,8,9,10,11,12,13,14,15,16,17,18,24,25,32,42,50,56,58,59,60,76,93,97,149,165,167,168,169,185,187,199,204,205,206,207,214,218,239,246,251,261,289,290,311,313,314,326],With:[0,2,3,7,8,9,10,24,215,217,218,326],_0:[8,170,304],_2:[8,32,35,76,149,279],_:[9,10,12,13,14,15,17,24,79,112,170,212,225,304],__bool__:1,__iadd__:[168,294,311],__iadd___dg:294,__init__:[10,325],__mul__:17,__mul___dg:17,_depth:56,_i:170,_n:[14,314],a3:67,a_1:67,a_2:67,a_:67,a_j:67,a_x:[166,189,198],aaaaaaaaaaa:291,aaaaand:14,aaaargh:215,aaand:10,ab:292,abitrari:18,abl:[3,5,9,81,205,215,310],abmeldung:5,about:[0,2,3,5,7,9,10,11,14,15,17,18,21,22,25,29,73,89,96,121,168,214,215,218,235,248,251,261,296,322,326],abov:[0,5,7,8,9,10,11,14,16,18,21,70,80,149,170,187,212,214,215,218,314,326],absenc:5,absract:8,abstract_p_g:101,abstract_paramet:[97,109],abund:298,abus:[15,23],accept:[1,2,5,24,34,35,36,37,38,39,40,42,43,44,45],access:[0,1,3,5,14,80,81,83,93,168,197,218,251,293,314,326],accident:5,accomod:295,accord:[5,7,8,9,14,17,58,59,70,149,190,210,279],account:[4,7,9],accur:5,accuraci:5,achiev:[0,2,7,14,15,17,18,21,24,165,169,170,177,198,203,205,218,251,261,325,326],aclcostfct:[65,212],acquaint:16,acquir:[3,11,14,70,97,125,176,199,205,206,223,289],across:[8,15,203],act:[5,7,8,14,17,20,26,40,65,170,189,212,235,245],action:[8,10,12,13,42],activ:[0,5,7,102,130,218,251,252,291,326],actual:[5,8,9,10,15,169,170,310],ad:[1,3,9,10,15,95,106,107,196,206,215,228,234,236,245,261],adag:212,adapt:[3,12,13,212],adaptive_control_funct:229,add:[7,9,12,13,94,97,98,106,107,187,196,205,206,212,223,228,229,234,236,261,271,273,314,317],add_clbit:94,add_edges_from:[8,9,10,55,56,58,59,60,61,212],add_nodes_from:10,add_qubit:98,adder:[3,14,18,22,25,217,228,234,236,245,259,261,314],addit:[5,9,10,15,23,25,28,80,166,170,185,228,234,236,242,245,251,254,261,271,290,295,313,314,320],addition:[8,21,32,76,203,212],address:[0,1,5,14,78,79,218,297,298,326],addtion:313,adher:93,adjac:[10,68,69,212],adjanceci:15,adjust:[9,212,246],administr:5,admit:[9,320],ado:10,adress:[0,218,297,298,326],advanc:[0,1,16,18,166,215,218,242,296,314,326],advantag:[0,10,170,192,215,218,242,261,290,314,320,326],aer:[18,79,80,82,83,93,183],aerbackend:[80,93],affair:[0,18,218,326],affect:315,aforement:10,after:[3,5,7,8,9,10,11,12,13,14,15,16,20,24,26,29,31,63,73,75,80,81,94,168,169,170,173,176,189,192,197,204,205,212,215,251,289,293,304,305,311],afterward:[15,71,72,157,170,203,205,294],ag:212,again:[3,8,9,11,14,15,16,38,166,170,185,254,283,313],against:5,agre:289,ah:11,aim:[0,3,14,18,218,326],ain:9,aka:[9,10,21],aknowledg:[0,218,326],al:[3,20],albeit:215,alert:9,algebra:[0,218,326],algorithm:[0,1,4,6,8,9,10,11,12,13,15,16,18,19,20,23,24,26,35,46,47,56,77,81,93,110,130,166,169,170,199,202,203,206,212,214,217,218,235,239,242,250,251,261,288,290,292,295,314,326],alia:[134,153,290,291,294],alic:[168,214,215,297,299,300,301,302,303,304,305,308],alice_1:168,alice_cli:[301,302,305],alice_qc:214,alice_r:214,alice_sess:[299,308],align:[7,8,11,14,18,24,149,170],alik:170,aliv:1,all:[5,7,8,9,10,11,12,13,16,17,24,50,67,68,69,71,72,80,97,109,130,166,168,170,172,177,185,206,207,212,239,245,256,289,290,296,298,299,300,301,313],alle:5,alloc:[7,15,18,28,34,170,185,261,295,320],allow:[0,1,2,3,5,7,8,9,10,12,13,14,15,16,17,18,21,22,23,24,25,28,32,40,56,61,65,76,78,79,81,82,83,93,164,165,166,168,169,170,174,185,188,194,199,203,206,207,215,218,221,229,235,242,256,261,292,293,294,296,297,299,300,304,310,313,314,326],almost:[3,8,312],along:[10,12,13,16],alot:[17,251],alpha:[12,13],alphons:98,alreadi:[7,8,9,10,11,12,13,14,21,24,55,72,180,204,212,261,300,304],also:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,21,24,28,32,43,55,71,72,76,80,81,93,125,164,165,166,167,170,174,185,187,204,215,218,235,242,251,261,289,290,293,295,299,310,311,313,314,315,326],alter:5,altern:[5,8,11,21,24,80,93],alwai:[7,12,13,14,15,24,206,207,214,251],ambigu:[17,170,304],amend:310,ami:251,among:[8,32,76],amont:62,amount:[3,7,9,10,15,17,23,24,26,27,28,32,35,50,51,54,56,61,70,76,77,79,82,90,96,97,102,104,115,125,131,132,136,168,170,176,182,184,185,188,196,197,206,207,215,239,251,252,254,295,303,313,318,320],amphitheatr:5,amplif:51,amplifi:[15,17],amplitud:[3,17,43,51,144,178,187,199,205,325],amplitude_amplif:[3,26],amtsgericht:5,an:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,43,44,46,48,49,50,52,55,63,65,67,73,74,76,77,79,80,82,89,93,94,96,97,101,102,108,112,120,128,130,138,141,142,149,151,153,161,164,165,166,167,168,170,171,175,178,182,185,186,187,189,191,192,194,197,202,203,204,209,215,217,218,225,228,235,236,239,240,241,242,243,245,246,247,249,251,256,261,263,264,265,266,267,268,269,276,279,282,284,285,289,290,291,294,296,299,300,304,305,310,313,314,317,318,322,326],analog:[8,212],analysi:215,analyz:[67,169],ancilla:[3,7,17,19,71,72,102,185,206,215,251,252,295],angewandten:5,angl:[7,9,12,13,20,116,126,133,137,138,139,140,141,158,161,205,227,264,265,266,267,268,282,285],ani:[3,5,7,8,10,12,13,14,24,66,71,80,93,95,111,134,157,167,169,170,182,185,203,212,215,221,242,249,250,256,288,294,313,318],anneal:11,annot:[235,302,305],announc:18,anoth:[0,3,5,7,8,9,10,14,15,17,34,42,97,108,121,169,176,185,190,192,198,202,205,218,251,263,290,295,302,304,305,308,313,326],ansatz:[11,21],answer:215,anymor:[17,18,178,194,198,199],apart:[7,9,16,18,21,251,261,289,311],api:18,api_endpoint:[78,80,85],app:[5,80],app_phase_funct:205,appear:[8,9,17,24,62,187,290,295],append:[15,18,24,95,96,97,102,153,157,164,169,202,204,206,235,293,296],appendic:9,appendix:[12,13],appli:[3,5,7,8,9,10,12,13,14,15,17,20,21,22,23,24,29,30,31,32,50,52,63,65,67,68,69,70,71,72,73,74,75,76,93,94,96,108,116,126,127,128,133,137,138,139,140,141,142,143,146,147,148,150,158,159,160,161,162,163,165,166,169,176,189,192,197,202,205,207,209,212,214,217,223,224,226,227,230,231,232,233,237,238,239,240,241,243,247,250,251,252,255,256,264,265,266,267,268,269,270,274,275,276,277,278,280,282,284,285,286,287,289,304,314],applic:[0,1,7,8,9,10,13,15,17,18,55,102,104,105,167,203,204,217,218,223,247,288,289,314,326],apply_channel_propag:8,apply_cost_oper:9,apply_mix:9,apply_multi_var_hamiltonian:[205,223],apply_p_lay:9,apply_phase_if_eq:[10,212],apply_xy_mix:[10,212],apporach:[0,218,326],apprais:9,approach:[8,9,10,14,15,17,18,24,169,212,215,296],appropri:[80,93],approv:5,approx:[7,14,26,215],approx_r:56,approx_ratio:[9,56,58,60],approxim:[4,7,8,9,12,13,14,17,20,32,56,58,76,149,217,258,259,262,313],apr:[258,259,262],ar:[0,1,3,5,7,8,9,10,11,12,13,14,15,17,18,21,24,25,32,36,42,50,56,61,63,67,68,69,70,71,72,76,79,80,90,94,96,97,98,102,108,109,112,115,120,128,129,149,157,164,165,166,167,168,169,170,172,176,178,181,185,186,187,191,192,194,195,196,198,199,201,203,205,206,207,212,214,215,217,218,223,225,229,235,239,245,248,249,250,251,252,256,257,259,260,261,274,289,292,293,296,298,299,300,304,311,312,313,314,320,326],arang:[15,27,52,206],arbitrari:[0,1,2,7,8,14,24,32,49,52,76,164,168,178,199,205,214,215,218,223,258,259,290,305,313,326],architectur:[2,7,8,9,93,149,164,215,310],aren:[15,300,304],arg:[20,23,26,152,228,235,236,238,240,244,248,289,290],arg_0:235,arg_1:235,argument:[1,2,9,10,11,15,17,20,23,25,26,32,36,50,51,61,62,63,65,76,95,157,170,176,179,185,197,200,206,212,223,235,239,261,263,265,268,289,290,319,320,325],aris:[5,7,188],arithmet:[2,4,7,14,17,18,165,166,170,203,215,216,281,288,290,308,313,314],around:[1,8,9,11,16,31,75],arrai:[10,11,15,24,70,104,125,144,165,171,172,173,175,176,177,178,180,187,203,204,205,206,209,211,216,247,274,281],arriv:149,art:[0,16,218,326],articl:[5,14,251,313],arxiv:[50,239,292],as_hamiltonian:[8,15,205,206,217],ascend:11,ashlei:24,asid:5,ask:[5,9,215],aspect:[0,2,21,24,170,218,326],ass:5,assembl:[0,218,326],assert:[5,9],assess:15,assig:24,assign:[1,7,9,24,67,70,71,72,80,203,212],associ:[5,70,80,81,204,212],assort:[9,10],assum:[5,8,14,57,78,121,149,167,170,199,212,235,301,309],assumpt:[3,18,206],asterisk:7,astyp:209,aswel:70,asymmetr:14,atleast:72,attack:5,attempt:[192,249,256,257,283],attent:[9,80],attract:5,attribut:[1,17,24,40,43,54,95,96,97,98,168,203,293,296,309,314],attributeerror:102,audienc:[0,18,218,326],augusta:5,author:[5,9,170],auto:[102,185,250,251,252],auto_uncomput:[8,15,17,24,32,36,37,38,39,40,42,43,44,45,76,170,203,206],autocrlf:80,autom:[0,5,18,168,169,170,185,203,218,261,326],automat:[3,5,7,15,16,17,18,149,167,168,169,170,185,202,203,235,246,248,251,260,261,274,289,311],av:5,avail:[0,3,5,9,10,24,61,63,80,93,102,165,166,181,185,187,203,204,218,250,251,252,259,288,305,326],avali:165,averag:[3,9,15,206],average_repetit:58,avers:8,avial:56,avoid:[9,18],awai:[0,16,28,218,326],await:[1,7,170],awar:[7,170,185],awesom:[8,47,49,215],ax:281,axel:5,axi:[9,29,73],b:[5,7,8,9,12,13,17,18,97,109,169,170,185,202,205,212,223,228,229,233,234,235,236,245,261,263,281,289,296,312,313,314],b_j:67,b_l:67,baci:215,back:[11,17,242,314],backend:[0,2,3,7,11,14,17,18,25,46,47,54,56,61,78,79,81,82,83,89,90,136,167,169,176,183,185,197,218,254,303,304,326],backend_provid:93,backendcli:[0,46,47,80,136,176,183,197,218,254,326],backendserv:[0,78,218,326],backendstatu:89,background:[11,214,297,298,299,300,302,303,304,305,308],backtrack:[4,18,36,37,38,43,45,51,290],bad:[7,20,21,26,295],badli:166,balauca:[3,250,251,252],balauca_dirti:1,bank:5,bar:5,bare:221,barrier:[0,9,218,326],base:[5,12,13,15,18,24,50,68,69,80,93,126,149,166,170,175,177,198,206,207,210,212,223,228,234,236,239,251,261,271,272,273,292,294,296,314,320],baseclass:[0,218,296,326],bash:80,basi:[5,8,11,12,13,15,17,102,157,174,185,189,194,205,223,256,260,291],basic:[2,7,13,14,15,16,17,18,21,80,96,192,212,310,325],basis_g:[157,197],batch:170,beam:8,beat:261,becaus:[5,7,8,9,11,12,13,14,15,17,39,70,144,149,165,169,170,185,215,221,229,242,251,290,296,311,313,314],becom:[7,16,18,126,261],beem:80,been:[0,5,6,7,8,9,14,15,21,24,50,56,57,78,169,170,173,180,185,204,207,212,215,218,239,263,290,293,295,296,301,304,309,311,326],befor:[5,7,9,10,12,13,15,16,80,120,170,176,185,186,197,206,223,261,290,295],beforehand:207,begin:[7,8,11,14,18,24,149,158,170,205,212,313],beginn:16,behalf:5,behav:[42,291,310],behavior:[0,8,15,209,218,235,246,261,310,311,313,326],behind:[16,21,314],behold:9,being:[2,9,10,16,18,203,209,310,322],believ:[0,14,15,218,326],bell:[214,305],bell_pair_0:214,bell_pair_1:214,bell_pair_distributor_:214,bell_pair_qc:214,belong:[5,9,288,300],below:[2,5,9,10,14,15,18,21,80,81,93,113,206,212,215],benchmark:[3,7,10,21,24,54,56,57,58,59,60,206,215,295],benchmark_data:[9,54,56,57,58,59,60,61],benchmark_funct:295,benchmark_mcx:251,benefici:[11,170],berlin:[5,18],best:[8,9,10,11,14,212],best_color:[10,212],best_coloring_onehot:10,best_cut:[9,212],best_solut:[9,10,212],best_solution_onehot:10,beta:[8,9,10,12,13,29,30,31,32,33,35,55,73,74,75,76,161,265,268,285],beta_0:[8,62],beta_1:[8,12,13,62],beta_2:62,beta_3:62,beta_4:62,beta_:8,beta_i:8,beta_p:[12,13,21],better:[3,9,11,12,13,15,18,24,61,242,251,313],between:[0,1,8,9,10,11,12,13,15,17,21,24,29,31,66,67,71,72,73,75,167,196,203,206,212,218,242,247,254,274,296,326],big:[8,11,15],bigg:11,biggest:3,bigoplus_:8,bigotimes_:15,binari:[3,8,10,11,15,24,31,67,70,75,212],binary_valu:240,bind:[97,101,109],bind_paramet:[97,204],bipartite_layout:[9,212],birthdai:305,bisschen:14,bit:[1,8,10,14,15,18,22,94,95,96,97,106,108,131,151,164,165,170,182,185,209,251,289,318,320],bitflip:170,bitshap:[260,274],bitshift:[182,313,318,320],bitsr:11,bitstr:[2,11,17,47,49,70,72,79,82,90,93,240,291],black:[10,13],blanklin:[182,318],block:[0,7,9,10,11,12,13,15,17,203,212,218,292,294,296,326],blue:[10,212],blueprint:[11,21,65,80],board:5,bob:[214,215,297,299,302,305,308],bob_client:[302,305],bob_qc:214,bob_sess:[308,309],boil:14,boldsymbol:[12,13],book:[0,218,326],bool:[1,22,23,24,28,36,40,43,50,79,113,120,134,172,173,176,185,186,187,192,193,194,197,201,202,209,234,235,239,240,242,245,246,248,260,261,295,298],boost:[3,292],border:215,borrow:11,both:[0,2,3,8,9,10,11,12,13,15,20,24,93,121,218,251,261,289,313,320,326],bottleneck:[1,3,7,112,149,185,225,295],bound:[12,13,101,109,217],bound_p_gat:101,bound_qc:[97,109,204],boundari:4,box:10,box_of_crayon:10,bra:[8,223],brainer:9,branch:[24,37,38,39,223,289],branch_qa:[24,36,38,39,42,43,45],branch_qf:[36,37,38,39,40,42,43,44,45],branch_qv:24,brassard:20,breakdown:10,brent:261,bridg:[0,218,326],brief:51,bring:[3,8,10,11,15,17,168,174,177,190,194,197,198,205,215,223,242,246,289,294,296],broad:18,broader:[0,12,13,21,218,326],brought:8,browser:5,bruno:5,brute:9,bug:[4,248],buggi:80,build:[3,6,8,9,12,13,14,16,17,93,203,212],built:[7,9,93,185,245,296,325],bullsey:80,bundl:[23,170,235,293],busi:[0,218,326],c:[5,8,10,11,12,13,17,97,109,170,185,205,223,263,290,296,312,313,314],c_:17,c_i:70,c_in:[228,236],c_out:[228,236],ca:5,cach:80,calcul:[9,10,11,14,21,70,104,120,170,185,186,206,258,259,262,288,289,291,294],call:[0,1,2,3,5,7,8,10,11,14,15,17,21,23,24,54,56,58,59,60,61,62,70,93,97,157,165,167,173,175,176,179,185,187,190,192,193,194,197,200,202,203,205,212,215,218,229,249,251,261,290,295,296,299,311,313,314,320,326],callabl:[22,25,54,56,58,60,245],came:170,can:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,17,18,20,21,23,24,25,26,27,28,32,51,56,58,61,65,70,71,72,76,80,82,90,93,95,96,97,108,112,113,126,130,134,144,149,153,157,164,165,166,167,168,169,170,174,175,176,177,183,185,187,192,197,199,203,204,205,206,207,208,209,210,211,212,215,216,217,218,221,223,225,229,235,242,245,247,248,249,251,254,256,260,261,263,274,281,288,289,290,291,292,293,294,295,296,299,302,305,310,311,312,313,314,320,324,325,326],cancel:[1,3,5,24,242,251,260,261],cancel_qft:185,cand:14,candid:14,cannot:[5,10],canon:20,capabl:[0,7,93,217,218,326],captur:3,cardin:[71,72],care:[10,261],career:215,carri:[5,17,96,173,228,236,261],cart:5,categori:[5,288],caus:[1,2,3,32,76,80,192,235,296],cb_0:[82,95,97,251],cb_1:[82,97],cb_2:[82,97],cb_3:97,cb_alice_0:301,cb_bob_0:301,cdot:[12,13,15,170],ceil:[10,15,50,206,207,239],cell:9,central:[0,1,5,14,17,21,24,55,203,218,326],certain:[3,7,8,15,24,170,206,289],certainli:9,ch:223,challeng:[1,7,14,16,25],chang:[5,9,24,185,256,296,313],channel:[10,214],channel_numb:8,charact:[0,205,215,218,289,312,326],charg:5,chat:9,check:[7,8,9,14,15,17,22,23,24,25,28,32,40,41,42,55,56,61,76,113,167,170,172,173,176,177,185,192,197,202,206,215,235,248,251,252,256,261,292,296,299,302,313,314,322],cherri:5,child:[24,296],children:[24,42],chit:9,choic:[3,7,8,10,12,13,183,212],choos:[8,10,14,203,215,314],chose:66,chosen:[1,12,13,15,21,61,63,80,247],chr:312,christma:302,chronolog:4,chuang:14,ciphertext:[46,47,48,49,215],circuit:[0,2,3,4,7,8,9,11,14,17,18,21,23,54,56,62,63,65,67,68,69,70,71,72,79,82,93,97,112,144,149,151,152,154,155,156,167,168,169,170,174,176,183,185,197,203,204,214,216,217,218,225,251,290,292,293,295,296,300,304,310,326],circuit_depth:[54,56,58],circuit_draw:152,circuit_gener:65,circuit_preprocessor:[176,197],circuitri:28,circumv:170,cirq:[80,93],cirtuit:16,cite:5,citi:[15,206],city_amount:[15,206],city_specifier_s:15,cl_accept:36,cl_arrai:165,cl_cost_funct:[8,10,11,55,68,70,71,72,212],cl_factor:242,cl_matrix:274,cl_re:18,cl_route_dist:15,claim:[5,215],classic:[0,1,3,7,8,9,10,11,12,13,14,15,21,24,25,28,35,36,54,55,94,95,96,97,106,108,131,151,164,165,166,168,170,185,203,209,212,214,215,217,218,242,246,251,261,274,289,310,313,326],classicalregist:18,classifi:8,classmethod:[57,122,123,124,190],claus:[67,70],clauses11:70,clausesdecod:70,clbit:[95,96,97,106,108,111,121,131,164,253],clcostfct:[68,70],clean:[9,11,185,251],clear:[8,214,235,260,300],clearer:9,clearli:15,click:5,client:[93,214,297,300,302,303,304,305,310],client_nam:[214,300,304],clifford:7,cliqu:[68,69,212],clone:80,close:[0,5,7,8,14,81,164,215,218,326],closer:9,closest:324,cloud:3,clutter:167,cmd:80,cnot:[3,7,9,15,112,149,170,184,185,225,251,256,261,292],cnot_count:[15,24,206,251],cnot_depth:3,co:[20,26,158,204],cobyla:9,code:[0,2,3,7,8,9,10,11,12,13,14,15,16,17,57,80,82,93,152,167,170,187,208,212,215,218,250,251,261,289,290,292,295,296,325,326],code_int:171,codebas:[0,1,218,326],codec:134,coincid:20,collaps:[17,170,304],colleagu:[12,13],collect:[5,51,54,61],collis:188,colon:20,color:[8,9,12,13,16,21],color_arrai:10,color_list:[10,212],coloring_inst:[10,212],coloring_oper:10,colorless:10,column:[11,170],comand:80,comb:[50,207,239],combin:[9,11,14,15,95,96,164,170,212,216,251],combinator:2,combinatori:[1,8,12,13,24,51],come:[0,7,8,9,10,12,17,21,51,170,195,215,218,251,288,326],command:[17,215,301,304,309],commenc:[9,14],commerci:[5,18],common:[1,14,15,164,229],commonli:[5,17,51,296],commun:[5,80,297,299],commut:[113,170,185,256],compact:[10,221],compani:5,compar:[3,8,9,10,11,14,15,17,24,61,70,113,144,166,185,209,215,251,261,296,313],comparison:[9,10,113,215,311,313],comparison_qbl_0:313,comparison_qbl_1:313,compat:[17,18,93,97,153],compel:5,competitor:3,compil:[0,1,4,8,14,15,16,17,18,21,22,24,54,56,62,102,112,164,170,176,197,203,205,206,215,218,225,235,242,248,251,254,261,292,293,295,296,314,320,326],compilation_kwarg:[176,185,197],compile_circuit:3,compile_mcm:[7,185,215,251,261],compiled_gidney_mcx:251,compiled_gidney_mcx_inv:251,compiled_jones_toffoli:251,compiled_qc:[62,170,185,251,295],complaint:5,complet:5,complex128:1,complex64:[1,104,125,144],complex:[0,2,9,10,12,13,14,15,16,17,43,144,164,199,203,205,218,248,251,293,295,326],compli:[5,304],complic:[14,15,314],compon:[5,12,13,20,24,26,28,35,203],componenet:178,composit:215,comprehens:[51,168],comput:[0,1,3,5,7,8,9,10,11,12,13,14,15,17,18,25,51,93,149,166,170,174,184,189,194,203,205,215,216,217,218,223,225,251,256,260,281,289,291,298,310,326],computation:[8,235],con:15,concaten:315,concept:[0,8,10,12,13,14,15,16,17,170,218,235,248,326],conceptu:[8,15],concern:[5,7,221,296],conclud:[3,7,14,17,24],conclus:[4,5,61,261,290],cond_bool:289,cond_env:311,cond_eval_funct:289,condens:[9,10,212],condit:[0,5,10,15,17,24,205,210,218,223,247,289,296,326],conditionenviron:[0,1,218,229,291,296,326],conditon:289,conduct:[21,80,93],configur:[5,80],confirm:[5,6],congratul:17,conj:290,conjug:[1,8,290],conjugand:290,conjugation_funct:290,conjugationenviron:[2,3,4],conjunct:[0,218,251,326],connect:[0,5,9,24,78,93,214,218,297,299,304,305,308,310,326],conquer:10,consent:5,conserv:149,consid:[7,10,14,15,20,24,25,67,70,71,72,80,170,206,212,251],consider:[7,16,17,185,251,315],consist:[9,11,12,13,24,95,96,173],consol:[17,78,80,187,215],constain:8,constaint:8,constant:35,constel:[39,61,187,205,260,261],constitu:5,constitut:18,constrain:[10,16],constrained_mix:[8,32,76],constraint:[2,10,32,51,76],constraint_oracl:[8,32,76],construct:[0,7,8,10,11,14,50,82,124,167,168,169,170,183,188,204,218,220,239,240,251,288,289,292,326],constructor:[14,17,167,313],consult:[80,229,290,292],consum:248,contain:[3,5,7,8,10,15,17,20,23,24,26,35,47,49,50,52,56,61,63,70,71,72,89,93,97,101,109,115,121,151,152,164,168,170,177,185,188,197,203,206,207,214,239,240,242,247,248,251,254,261,262,271,272,273,274,281,288,289,300,301,302,304,305,313,315],containernam:80,content:[0,1,2,5,17,218,291,295,296,326],contest:5,context:[1,5,8,80,93,169,229],continu:[4,5,8,10,14,17,20,206,296],continued_fraction_converg:14,continued_fraction_iter:14,contol:251,contract:[5,203,216,260,281],contrari:[50,207,239],contrast:[8,10],contribut:[0,218,326],control:[1,3,7,8,9,10,12,13,14,17,20,21,23,28,40,41,71,72,110,116,117,118,119,125,126,130,170,204,206,212,215,226,227,229,230,231,232,237,240,248,250,251,252,256,289,290,291,296,320],control_qubit:130,controlenviron:[1,17,229,296,311,320],conveni:[0,2,5,6,17,21,24,61,79,82,93,165,170,218,220,289,292,314,325,326],convent:[11,144],converg:[12,13],convers:[4,80],convert:[11,17,79,80,97,124,154,155,156,292],convinc:9,cool:[9,10],coordin:298,copi:[5,42,45,80,111,173,177,198],coprim:14,copyright:5,core:[1,9,14,24,79,80],cornerston:14,correct:[3,7,8,14,24,50,235,239],correctli:[9,10,81],correl:[120,186],correspod:11,correspond:[1,7,8,9,11,12,13,15,17,20,24,32,57,60,76,122,123,164,165,166,170,185,187,191,194,197,199,223,229,235,289,290,313,323],correspondinghav:212,cost:[3,8,9,10,11,12,13,21,54,55,56,60,62,170,182,212,312,318,320],cost_data:56,cost_fun:[71,72],cost_func:[71,72],cost_funct:[54,70,212],cost_metr:[56,60],cost_oper:[8,55,67,68,70,71,72,212],costfct:70,costfunct:[67,68,69,70,71,72],costli:[8,10,17,170,185,235],costop:[71,72],costoper:70,costs_and_solut:11,could:[2,3,7,8,15,23,104,167,169,170,205,248,304],count:[3,7,9,10,11,15,18,50,51,54,56,58,79,82,90,115,136,170,184,201,207,215,239,242,250,251,260],count_dic:115,count_on:[50,207,239],count_op:7,count_qf:[50,207,239],counting_oracl:[50,207,239],counts_dic:18,counts_list:254,coupl:96,cours:[0,9,11,20,23,26,170,185,218,326],court:5,covari:8,cover:[2,24,72],cp:[10,292],cp_gate:204,cpgate:104,crack:215,crackabl:215,crayon:[10,16],creat:[0,3,7,8,9,10,11,12,13,14,16,18,21,24,27,28,32,36,39,42,43,44,50,52,56,58,59,60,61,62,65,68,71,72,76,77,79,81,93,94,95,96,97,98,101,108,109,112,113,115,121,124,131,136,144,149,157,164,165,167,168,169,170,171,174,175,177,180,181,182,183,185,187,189,190,191,192,193,194,195,196,197,198,199,201,202,203,204,205,206,211,212,214,218,223,229,233,235,239,242,246,248,249,253,256,257,260,263,271,272,273,283,289,290,291,292,293,294,295,296,297,298,299,303,304,305,308,311,313,314,318,320,322,323,324,326],create_coloring_cl_cost_funct:[10,212],create_coloring_oper:[10,212],create_maxcut_cl_cost_funct:[8,9,55,212],create_maxcut_cost_oper:[8,9,55,212],create_perm_specifi:[15,206],create_qubo_cl_cost_funct:11,create_qubo_cost_oper:11,create_rdm_graph:[65,66,68,212],creation:[0,15,165,173,187,218,310,315,326],credit:5,critic:[0,218,326],crucial:[1,9,10],cryptograph:[14,217,314],cryptographi:[14,215],cs:[11,212],ctrl:[7,40,41,185,229,261,290],ctrl_method:[23,28,206,291],ctrl_qbl:[7,215,229],ctrl_qubit:291,ctrl_qubit_0:110,ctrl_qubit_1:110,ctrl_qv:28,ctrl_state:[8,10,24,36,42,71,72,102,130,204,250,251,252,291],cu:[170,290],cucarro_add:[7,215],cuccaro:[245,314],cuccaro_add:[245,314],cuccarro:259,cup:40,current:[6,10,24,181,185,314,320],custom:[7,10,12,13,14,25,32,56,76,166,215,217,221,229,289,296,314],custom_control:[2,3,7,215],custom_qv:166,customari:14,customiz:[10,251,261],customquantumvari:[166,190],cut:[9,24,212],cx:[7,8,9,10,17,24,32,76,78,80,97,112,113,115,121,124,125,136,149,157,167,168,169,170,185,197,202,203,214,229,235,248,256,289,296,304,305,322],cxgate:[95,96],cy:121,cycl:[0,167,203,218,326],cyclic:[15,27,206],cyclic_shift:[1,2,27],cz:[7,121,251],d:[10,17,170,205,223,259,312,313,314],dagger:[7,8,105,129,143,147,150,270,277,280,290,294],dai:9,damag:5,data:[0,1,10,15,21,24,54,56,57,59,61,95,111,166,203,216,218,326],dataprocess:[0,218,326],datatyp:[0,1,218,325,326],date:[5,325],datenschutz:5,datenschutzkoordin:5,datetim:325,ddsim:[80,93],de:[5,15,28,295],deactiv:7,dead:[3,25],deal:[9,15],dealloc:[7,170,185,261],debt:18,debug:[7,192,235,296],decai:8,decid:[10,24,169,170,212,215],decim:[26,104,125,187],decis:[5,8],decod:[2,10,24,42,70,175,181,190,195,205,212,313,314,325],decodedclaus:70,decompos:170,decomposit:149,decor:[2,8,15,17,170,203,205,217,223,229,235,248,263,289,293,294],decrypt:[3,16,46,47],deep:[12,170],deepen:9,deeper:8,def:[7,8,9,10,11,14,15,17,20,23,24,26,32,36,37,38,39,40,42,43,44,45,50,56,71,72,76,77,79,82,164,168,169,170,185,189,205,206,207,209,212,214,223,229,235,239,240,248,251,263,289,290,292,293,295,296,325],def_backend:11,default_backend:[11,167,176,197,254],defend:5,defens:5,defer:80,defi:[170,235],defin:[5,8,9,10,11,12,13,14,15,17,20,21,23,26,31,50,75,153,169,191,205,207,211,212,213,214,223,239,245,251],definecolor:18,definit:[10,14,71,72,96,293],degre:[2,14,97],delai:[5,7,15,169,170,185],delet:[5,17,24,50,170,185,203,239,289,290,294,295],deliv:[5,210],deliveri:3,delta:11,delv:[7,16,17,51,215],demand:[7,8,187,229,295],demonsr:8,demonstar:20,demonstr:[3,5,7,8,15,24,27,55,164,166,170,185,205,207,209,212,213,217,223,289,296,325],demultiplex:28,demux:[1,15,51,206],demystifi:14,denot:15,depart:5,depend:[9,12,13,40,80,170,251],deploi:[14,152,250],depth:[1,2,3,7,8,9,10,11,14,15,23,24,27,28,34,35,36,38,39,44,52,54,55,56,61,62,63,65,68,70,71,72,112,149,185,206,212,215,217,225,242,251,261,279],depth_ind:[120,185,186],depth_rang:[9,56,58,59,60,61],der:[5,14],dereferenc:[165,166],deriv:[11,12,13],describ:[0,7,9,10,15,20,21,24,26,39,71,72,80,93,96,97,98,164,169,178,185,199,215,218,233,261,326],descript:[7,8,19,82,217,251],design:[1,5,9,12,13,17,93,167,212,217],desir:[3,7,17,28,109,174,180,190,194,205,245,260,274],desktop:80,destil:7,destroi:[17,170],destruct:5,destructor:192,det:209,detail:[4,5,7,10,12,13,14,15,24,25,32,76,167,176,177,185,197,212,217,229,251,313,321],detect:[51,185,215],determin:[3,5,7,15,17,24,36,80,149,168,170,184,205,209,235,247,258,260,262,263,274,289],detriment:221,develop:[0,2,3,5,9,14,18,25,170,203,217,218,296,325,326],devic:[5,7,14,16,112,185,225,320],di:192,diag:11,diagon:[11,15,217],diagram:[0,218,326],dict:[11,20,23,25,26,45,50,54,58,61,63,65,70,71,72,90,101,109,115,121,136,152,176,197,199,239,240,289,290,304,319],dictat:[0,218,223,326],dictionari:[0,15,17,20,23,25,26,36,45,50,56,58,63,65,67,68,69,70,71,72,79,82,90,93,97,101,109,115,121,152,165,166,176,181,187,197,199,203,205,206,218,239,240,289,304,326],did:[2,11,109,185,212,263],diffent:215,differ:[0,2,7,8,9,10,12,13,14,15,21,24,28,29,31,73,75,80,113,166,167,185,192,198,205,206,215,218,223,235,242,251,260,263,289,304,314,326],difficulti:[14,215],diffus:[17,33,40,41,42,170],dig:11,digraph:43,dimens:[28,260,274],dimension:77,direct:[0,3,5,8,15,206,218,297,299,326],directli:[5,8,10,17,126,185,311],dirti:[3,185,194,251],disabl:5,disable_uncomput:185,disadvantag:[0,8,15,218,326],disagre:[8,32,76],discard:24,disclaim:[5,16],disclos:5,disclosur:5,discourag:169,discov:[1,4],discuss:212,disentangl:[17,18,170],disjoint:[71,169],disjunct:70,dispatch:[82,93],displai:[2,5,10,15,195,217,249,256,296],dispos:9,distanc:[16,24,40,206],distance_matrix:[15,206],distance_to_0:206,distil:7,distinct:[8,15,18],distribut:[0,5,15,205,214,218,223,305,326],district:5,div:[258,259],dive:12,divers:217,divid:[9,213,258,259],divis:[217,258,259,313],divisor:[14,213,258,259],do_it:[170,202,235],docker_wrapp:80,dockerfil:80,document:[3,4,9,15,51,80,167,170,173,177,202,233,235,251,252,256,261,288,292,296,299,321,325],doe:[0,5,15,32,76,165,168,170,173,177,198,218,242,256,315,322,326],doesn:[7,8,12,13,24,170,182,185,215,296,318],dolor:190,domain:[5,18],don:[8,10,14,15,16,97,124,206,288],done:[7,9,10,11,12,13,14,170],dos2unix:80,dot:[209,211,217],dotsc:20,doubl:[5,11,17],down:[11,14,16,251,295],download:[5,9,80],dr:5,dramat:9,draper:261,draw:[5,9,10,61,68,212],drawback:[8,15],drawer:152,drive:[12,13,21,29,31,73,75],drop:1,drumrol:10,dtype:[11,104,125,144],due:[0,2,3,5,7,8,14,15,79,80,209,215,218,247,249,251,257,296,305,314,326],duplic:[1,166,177,181,198,289,295],durat:5,dure:[3,5,15,17,22,23,82,168,170,192],dx:20,dynam:[15,185,261],e:[5,9,11,12,13,14,17,18,46,47,48,49,68,69,70,71,72,80,96,111,130,134,165,174,194,212,215,235,240,294,312,313,315],each:[0,3,5,8,9,10,11,12,13,14,15,17,18,24,29,31,51,54,56,60,61,67,70,71,72,73,75,97,115,121,129,168,169,170,185,189,203,205,206,218,223,251,254,260,326],eachoth:242,easi:[9,10,11,16,21,81,83,164,212,215],easier:[12,13],easili:217,eat:3,eclips:[18,215],econm:18,econom:[0,7,215,218,326],ecosystem:[0,218,326],edg:[9,10,66,212],edgest:212,editor:5,effcienc:8,effect:[8,9,15,128,170,212,251,256,257,283,290],effici:[0,3,7,8,9,10,12,13,14,15,16,18,21,25,39,51,102,144,170,185,212,215,217,218,221,251,296,326],effort:[5,7],eg:24,eigenst:7,eigenvalu:[12,13,42,51],eigenvector:[14,17,42],ein:14,either:[8,11,14,15,28,165,167,185,199,242,245,251,313],elabor:[17,203,212,215],electr:28,eleg:[9,17,215,221],elegantli:10,element:[0,2,10,11,14,15,38,58,71,72,205,218,254,326],elementari:[9,96,219,288],eleqtron:[0,218,326],elev:1,elif:[15,185,205,206,223],elimin:[0,218,326],elisabeth:5,ell:[12,13,21,212],els:[7,8,9,10,14,15,70,71,185,205,206,212,223,229,245,292,295,296,313],elsewher:17,embed:[1,15,17],emphas:[5,8,215],emploi:[15,80,313],empow:1,empti:[63,65,111,181,300],en:79,enabl:[1,2,3,5,17,18,21,24,61,80,93,167,170,185,187,203,261,289],encapsul:55,encod:[2,8,10,14,17,20,21,24,39,134,187,189,190,197,199,205,212,213,216,223,312,322,324],encoding_arrai:[174,175],encount:[7,16],encourag:[9,16,51,167],encrypt:[5,14,16,47,48,49],end:[0,5,7,8,9,11,12,13,14,15,16,17,18,21,22,24,28,80,149,158,168,170,188,196,218,289,313,326],enemi:25,energi:[9,10,11,70,212],enhanc:[2,4,7,10,26,51,288,314],enlighten:215,enough:[8,14,15,215],ensu:5,ensur:[5,8,93,169,212],entangl:[0,8,17,22,166,167,169,170,203,218,254,292,322,326],enter:[17,215,289,296],entir:[5,203],entiti:5,entri:[0,5,15,24,28,56,125,165,170,171,175,204,205,218,326],env:292,env_data:296,env_q:296,enviro:169,environ:[0,1,7,11,16,28,165,169,176,184,197,218,254,289,291,292,293,295,310,326],envisag:5,eol:80,epsilon:[7,149,215,261,279],eq:[2,260,274],eq_cond:17,eq_cond_0:17,equal:[2,11,12,13,17,170,173,247,260,274,289,311],equat:[14,16,67],equip:[13,17],equival:[2,18,24,31,75,113,151,165,168,177,178,185,187,209,213,313,315],era:[7,112,185,225],erasur:5,erron:1,error:[2,5,7,80,187,192,194,245,246,249,256,313],especci:8,especi:[3,7,10,25,170,296,314],essenti:[9,13,17,203],establish:[0,1,2,5,8,15,50,166,170,203,218,239,313,326],estim:[3,14,15,16,24,35,36,50,51,77,149,206,207,239,279],estimate_phas:24,et:[3,20],etc:[5,18,24,34,221,310,314],eth:170,ethrlintwo:67,ethrtwocostop:67,etwothrlin:67,etwothrlinclcostfct:67,euler:158,ev_invers:19,eval_distance_threshold:[15,206],eval_perm:[15,206],evalu:[2,8,9,16,17,19,20,21,23,36,38,42,50,54,58,60,62,77,83,112,115,136,149,167,168,176,178,187,197,204,206,207,209,214,220,239,251,254,271,272,273,288,289,295,296,311,320,325],even:[0,1,7,8,12,13,14,15,17,24,40,42,170,185,187,204,215,218,248,251,296,313,326],even_lat:325,event:[5,170],eventu:[15,16],ever:3,everi:[0,5,7,9,15,17,71,72,93,108,120,149,170,185,186,218,235,263,290,295,296,326],everyth:[10,11,14,15],everytim:304,evolut:[4,8,12,13],evolv:[3,12,13],ewen:5,exact:[8,12,13,20,50,125,217,239],exactli:[0,11,12,13,203,218,326],examin:[9,11],exampl:[1,5,8,9,10,12,13,14,15,16,17,18,20,23,24,25,26,27,28,32,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,56,57,58,59,60,61,62,65,67,76,77,78,79,80,81,82,83,94,95,96,97,98,101,102,104,105,107,108,109,112,113,115,121,124,125,129,136,144,149,153,157,165,166,168,170,171,173,174,175,176,177,178,179,181,182,183,185,187,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,206,207,209,210,211,212,214,215,216,223,224,228,229,233,234,235,236,238,239,240,242,245,246,247,248,249,251,254,256,257,258,259,260,261,262,263,271,272,273,274,281,283,289,290,291,292,293,294,295,297,298,299,300,301,302,303,304,305,308,309,311,313,314,317,318,319,320,321,322,323,324],examplari:80,example_backend:[78,82,83],example_funct:[235,293],example_function_dg:235,example_qv:168,example_qv_2:168,example_qv_3:168,example_qv_4:168,example_serv:[79,298,299,308],exampleenviron:296,except:[1,2,5,10,14,15,17,20,23,28,50,104,105,109,151,168,170,175,176,177,178,180,181,182,184,192,194,195,196,197,198,199,201,206,239,245,247,249,251,254,256,257,260,261,263,274,283,289,317,318,320,322,323,324],exchang:215,excit:[1,2,215],exclud:15,exclude_init:24,exclus:17,excpect:289,exec_swap:22,execut:[0,1,3,5,6,7,9,14,18,21,25,35,46,47,50,57,61,78,81,82,89,90,100,112,149,167,169,183,185,192,197,203,214,215,218,225,229,234,239,256,263,293,295,296,298,301,304,309,310,313,326],exemplifi:217,exercis:5,exhibit:217,exist:[0,5,10,24,35,39,93,97,185,215,218,326],exit:[295,296],exot:7,exp:[7,8,11,14,15,17,50,125,158,189,204,205,207,223,239,289],exp_shift:[313,320],expand:[12,13],expans:[12,13],expect:[1,3,8,9,12,13,17,21,23,38,40,42,77,149,185,187,199,209,210,215,289,305,313,319],expens:8,experi:[1,8,10,51,212],experienc:[9,16],experiment:[0,16,185,218,326],expert:18,explain:[10,11],explan:[68,69,70],explanatori:16,explicit:[5,168,169],exploit:[0,14,82,218,326],explor:[2,7,10,12,13,14,16,17,18,25,51,61,217],expon:[7,14,15,17,165,182,206,261,313,318,320],exponenti:[0,3,14,215,218,261,326],expos:[80,164,221,295],expr:42,express:[0,2,5,8,187,204,218,221,242,321,326],extend:[7,12,13,203,246,249,256,300,304,320],extens:[9,321],extension_qc:121,extent:5,extern:[0,5,93,218,326],extra:[3,15,22,102,168,170,185,196,242,251],extract:[14,15,56],extrem:[3,8,10],ey:[10,165,174,175,177,233,260,274],f:[5,8,9,10,11,14,15,17,20,32,76,170,195,206,212,251,312],f_:313,face:170,facil:[3,5,18],facilit:[1,2,3,5,9,18,21,55,185,219,220,254],fact:[0,5,7,8,10,14,15,24,31,75,218,326],factor:[3,11,12,13,14,16,18,22,25,46,51,187,223,242,260,272,274,313],factor_1_qf:272,factor_2_qf:272,factori:[15,206],fail:[168,170,201],failur:207,fals:[3,15,17,22,23,24,26,28,40,42,43,44,50,58,71,113,134,167,169,170,172,173,181,185,187,189,191,192,193,194,197,201,202,209,212,223,228,233,234,235,236,238,239,240,242,244,245,246,248,251,260,261,274,289,291,292,294,295,298,311,312,313,315,317,320,322],famili:[12,13],familiar:[8,10,11,14,16,80,212],famou:215,fan:[97,124],fanci:14,fanout:170,fanout_dg:170,far:[3,7,15,215,301],fascin:[12,13],fast:[7,15,215],faster:[3,7,14,215],fault:[3,14,16,149,215],faulti:[2,32,76],fax:5,feasibl:[1,14],featur:[0,4,7,8,9,12,13,14,15,16,17,24,25,31,75,93,149,164,167,170,185,187,203,207,215,218,248,296,314,326],fed:[12,13],feed:[11,212],feel:[5,7,9,14,215],feilen:14,fernwirkung:305,few:[0,8,14,17,170,206,208,218,326],fiction:215,fiddl:16,field:[9,14,18,25],file:[5,80,122,134,176,197],filenam:[57,59,122,134,197],fill:[15,166,206],filter:206,fin:215,final_trip_dist:206,finali:206,find:[3,4,7,8,9,10,11,14,15,17,18,20,21,24,36,67,70,71,72,168,206,212,215,248,251],find_ord:14,find_solut:24,fine:10,finish:[7,9,80,170],finit:[3,8,313],first:[1,5,6,7,8,10,11,14,15,17,24,32,58,67,76,80,97,100,110,121,124,165,169,170,178,185,190,201,206,212,214,226,227,233,235,242,245,248,254,260,265,268,271,272,274,275,281,282,285,289,304,313,314],fit:[8,24,251,324],five:96,fix:[4,12,13,185,207,248],flag:10,flashback:9,flaw:[8,295],flexibl:[0,8,10,14,203,217,218,251,326],flip:[15,28,77,165,289,294,311,322,323],float_qd:[166,181],floor:313,focu:[9,13,212],focuss:[9,11,14],foku:[5,18],follow:[0,2,3,5,7,8,9,10,12,13,14,15,16,17,20,21,26,32,56,71,76,80,82,144,149,170,205,212,215,218,251,296,314,325,326],foral:8,forbid:256,forbidden:[5,8,32,76],forc:[9,313],foreign:82,foremost:7,form:[5,8,14,17,24,50,67,79,82,149,176,202,205,209,217,239,261,304,310],format:[5,65,80,134],former:7,formul:[0,2,9,10,11,12,13,70,212,218,326],formula:[17,50,149,210,239,289],formulierung:14,forschung:5,fortun:[7,170],forward:[5,7,9,67],found:[0,3,5,14,24,80,96,209,212,218,251,313,314,326],foundat:[9,12,13,16,18,203],four:[10,325],fourier:[7,14,17,51,170,189,205,223,242,290,292,314],fourier_add:[7,215,290],frac12:20,frac:[7,8,11,12,13,14,17,18,20,26,35,50,149,158,187,189,199,207,210,216,223,239,279,281,289,304],fraction:[14,20,23],frame:5,framework:[1,4,8,9,12,13,15,16,17,18,21,80,93,203,212,215,314],framork:16,fraunhof:[5,18],free:[5,7,9,10,14,17,185,192,215,251,313],freedom:5,freeli:80,fresh:[173,174,178,194,198,199],freshli:[7,34],friendli:[0,218,326],from:[0,1,2,3,4,5,7,8,9,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,32,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,61,62,65,68,70,71,72,76,77,78,79,80,81,82,83,93,94,95,96,97,98,101,102,104,105,107,108,109,112,113,115,121,122,123,124,125,129,134,136,144,149,153,157,158,159,164,165,166,167,168,169,170,171,173,174,175,176,177,178,179,181,182,183,185,187,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,218,223,224,228,229,233,234,235,236,238,239,240,242,245,246,247,248,249,251,254,256,257,258,259,260,261,262,263,271,272,273,274,281,283,289,290,291,292,293,294,295,296,297,298,299,300,302,303,304,305,308,309,311,312,313,314,315,317,318,319,320,321,322,323,324,325,326],from_qasm_str:[79,82],from_qiskit:[1,97,164],ft:[7,185],fulfil:[5,70],full:[1,5,10,17,104,125,235],fullfil:24,fulli:[0,2,5,24,185,218,326],fun:215,func:229,funcion:10,function_to_redirect:263,fund:[0,8,18,218,326],fundament:[13,16,17,21,203],funni:9,furthemor:[0,218,326],further:[2,5,9,10,12,13,15,17,18,80,166,185,192,235,313],furthermor:[2,3,8,17,18,24,157,166,170,185,203,207,235,289,320],futur:[4,5,7,8,18,215,314],futureproof:215,g:[5,8,9,10,14,17,55,56,58,59,60,61,62,65,68,69,212,249,256,257,283,311,312],gadget:215,gain:[7,10,17,56,60,170],gain_data:56,gain_metr:[56,60],game:16,gamma:[8,9,10,11,12,13,55],gamma_0:62,gamma_1:[12,13,62],gamma_2:62,gamma_3:62,gamma_4:62,gamma_p:[9,12,13,21],gamma_ph_p:9,gap:[0,218,326],gate:[1,3,8,9,10,11,14,15,17,18,22,23,29,30,31,67,73,74,75,93,94,96,97,101,102,105,108,109,110,112,115,116,117,118,119,125,126,127,128,129,130,133,137,138,139,140,141,142,143,145,146,147,148,149,150,151,153,157,158,159,160,161,162,163,164,165,167,169,182,184,185,192,194,197,202,204,206,215,216,225,226,227,230,231,232,235,237,240,241,242,243,248,250,251,252,255,256,260,261,264,265,266,267,268,269,270,275,276,277,278,279,280,281,282,284,285,286,287,288,289,292,293,313,314,318,320,322],gate_nam:169,gate_spe:[7,185,215,261],gate_wrap:[170,248,293],gatewrapenviron:296,gather:[9,212],gave:170,gcd:14,gdpr:5,gener:[0,1,2,3,5,7,8,9,11,12,13,17,18,23,24,28,32,35,45,70,76,89,97,106,107,152,153,164,166,168,170,181,185,188,190,193,197,202,206,209,212,217,218,229,248,288,326],generate_random_inv_matrix:209,geq:70,german:[0,18,218,326],germani:5,gesellschaft:5,get:[6,7,8,9,11,12,13,14,15,16,18,20,61,65,68,70,71,72,80,165,169,176,187,206,212,214,242,251,261,313,314],get_backend:[17,18,79,82,83,93,183],get_clear_qc:[214,305],get_count:[18,79,82],get_ev:1,get_measur:[2,9,14,17,20,24,25,56,61,65,80,82,83,93,165,179,183,185,200,210,289,299,319],get_neighbourhood_rel:[71,72],get_r_candid:14,get_unitari:204,getpreferredencod:134,ghz:[97,136,168],gidnei:[3,7,185,215,251,261,314],gidney_add:[3,7,215,261,314],giraf:212,git:80,give:[0,3,5,8,12,13,24,36,71,72,185,187,215,218,326],given:[5,7,8,10,14,15,17,20,23,24,25,26,28,30,32,37,39,44,50,51,58,63,65,67,68,69,70,71,72,74,76,77,80,93,106,107,108,111,114,121,125,131,136,149,154,155,156,157,158,159,167,168,170,174,175,176,178,181,188,189,190,193,194,195,201,207,212,235,239,261,263,313],gl:247,glimps:217,global:[11,80,113,126,157,169,237,285],gm:[22,292],go:[8,9,10,11,12,13,15,61,80,170,215],goal:[8,12,13,21,326],goe:[8,185],gone:[7,170],good:[5,7,8,15,20,21,26,170,215],googl:5,got:[9,10,215],gphase:[11,62],gradual:16,grai:[102,110,130,166,181,189,250,251,252],grandmoth:9,grant:[5,7,185,215,290],granular:17,graph:[8,9,10,15,16,43,45,55,56,58,59,60,61,62,68,69,71,72,212],grasp:[13,212],gray_pt:[102,181,206,251,252],gray_pt_inv:[251,252],great:187,greater:215,greatest:14,greatli:15,green:[10,212],grid:205,gritti:[203,215],groel:5,ground:5,groundbreak:[14,25],group:9,grover:[8,15,16,33,51,77,170,206,217,288,290,295],grovers_alg:[8,15,50,206,207,217],grow:[8,15],guarante:[0,5,8,17,24,28,218,326],guid:[9,11,16],gunicorn:80,gwe:293,gxx:292,h:[7,8,9,14,15,17,20,23,24,28,36,39,40,42,44,62,78,80,94,97,108,136,144,149,165,166,168,177,181,185,187,189,190,192,197,198,202,204,205,210,211,214,223,235,242,246,254,289,291,292,294,296,300,301,302,304,305,311,312,313,315,319,320],h_c:[11,212],h_x:40,ha:[0,2,5,7,8,9,10,11,14,15,17,24,25,31,36,40,42,44,50,57,58,70,75,78,80,144,158,166,169,170,180,185,191,192,204,207,215,218,229,239,242,247,251,260,263,274,290,293,295,296,311,320,322,326],habitu:5,had:15,hadamard:[9,14,17,94,127,170,304],hadfield:[9,12,13],half:[77,214],hallo:166,halv:15,hamiltonian:[7,8,11,12,13,217,223],hamiltonian_appl:223,hamiltonian_evolut:[8,19],hand:[9,10,11,14,16,17,70,167,199,212],handi:[10,288],handl:[7,15,203,205,209,295],hansastrass:5,hanselka:5,happen:[7,8,168,169,170,301],happi:305,hard:[15,215],harddriv:[57,59],hardwar:[0,8,10,17,18,39,218,320,326],harm:5,hash:165,hashabl:[165,191,325],hat:314,have:[0,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,21,24,26,43,50,56,61,80,93,120,121,128,165,166,169,170,173,174,180,185,186,187,194,206,207,209,210,212,214,215,218,235,239,240,261,263,289,295,296,298,301,304,309,313,315,325,326],haven:9,he:215,headach:215,heard:7,heavi:170,heavili:[185,212],height:[2,24,36,39,40,42,44],height_cond:[36,42,44],height_condit:24,held:[0,218,326],hello:[18,166,217,291,315],help:[1,10,14,16,18,51,61,217,235,260,263,288,290],helper:15,helpful:[0,166,170,192,218,256,326],here:[0,2,3,4,7,8,9,10,11,12,13,14,15,17,20,22,80,164,165,170,185,205,206,212,215,218,223,248,250,251,261,292,313,325,326],hereinaft:5,heurist:24,hi:[12,13,215,302],hidden:[14,16,168],hide:[17,293],high:[0,2,8,14,15,16,18,97,164,215,218,295,299,310,326],higher:[0,3,9,15,24,35,164,218,259,261,326],highest:[11,58,70,149,215],highli:[16,215],highlight:[3,13,14,170],him:215,hing:7,historgram:197,hit:215,hold:[12,13,15,24,170,185,216,251,281,312,322],holger:5,hood:[12,14,215],hope:[0,7,218,326],horizon:[14,25],horizont:8,host:79,hot:[8,10,24,212],hough:170,how:[3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,25,36,42,50,164,171,185,187,191,203,204,205,207,209,211,212,214,215,216,217,223,239,251,289,296,314,325],howev:[0,5,8,10,12,13,14,15,24,32,76,126,129,169,170,185,215,218,248,251,261,315,326],html:[5,79],http:[5,50,79,239,292,321],hub:80,human:[17,39,47,168,171,191,195,203],hybrid:[12,13,24,251,252],i2:313,i:[5,7,8,9,10,11,12,13,14,15,17,18,23,24,50,68,69,70,71,72,80,96,97,108,109,111,121,125,130,134,158,165,168,170,171,174,175,187,189,191,194,195,199,204,205,206,207,209,210,212,216,223,235,239,240,281,289,290,292,294,295,296,312,313,315,325],ibm:[17,18],ibm_lago:17,ibmprovid:17,ibmq_qasm_simul:81,ibmquantum:3,icon:5,id:121,idea:[2,7,8,12,13,15,17,71,72,206,314],ideal:[10,13,68,70],ident:[5,8,11,15,34,128,168,174,235,260,274],identif:5,identifi:[5,24,94,96,98,115,168,188,193],ie:[0,8,15,17,24,42,44,95,164,170,185,204,207,216,218,251,261,310,314,320,326],ieee:[292,321],ieeexplor:[292,321],ignor:108,ignore_gphas:113,ignore_overflow_error:[228,236],ignore_rounding_error:[228,236],ii:11,ij:[9,11],ikx:189,illeg:5,illustr:[7,12,13,18,217],im:7,imag:[5,93,321],imagenam:80,imagin:[215,251],immedi:[5,11,15,251],immut:165,impair:170,implement:[1,2,3,5,7,8,11,12,15,16,17,20,24,25,32,51,55,56,61,66,76,80,93,164,169,170,185,206,215,217,251,261,296,315],impli:[5,6,7,8,15,17,18,24,129,149,164,165,169,170,190,191,195,205,249,251,261,289,296,304,313,325],implic:[10,215,217],impor:81,importantli:[10,14],impos:[170,206],improv:[1,2,5,9,10,12,13,15,168,215,325],inaccur:5,inbox:[214,305,309],inbuild:312,inbuilt:[80,93],inc:5,incas:242,includ:[5,9,10,11,12,13,14,15,16,24,38,80,93,151,169,203,325],inclut:9,inconveni:39,inconvi:169,incorpor:8,incorrect:[235,248],increas:[2,7,10,12,13,35,215,229,251,296],increasingli:14,increment:[27,52,289,294],incur:5,inde:[8,10,14,15,192,215,290,292],indent:17,independ:[2,17,21,168,212],index2:70,index:[8,10,15,24,28,70,71,72,79,80,144,165,168,206,260],index_0:165,index_1:165,indic:[5,7,8,10,11,14,15,24,35,36,37,39,43,45,61,67,70,120,168,176,185,186,187,192,197,201,203,207,216,251,254,313],industri:[0,18,218,326],ineffici:251,inf:157,infer:[3,17,168,169,188],infinit:187,infix:[17,203,221,288,289,313],influenc:[126,185],info:[5,71,72,80,93],inform:[2,7,11,14,15,17,18,22,23,24,28,40,41,45,56,80,89,96,121,149,170,173,185,192,202,214,235,248,251,252,256,261,290,292,296,299,310,319,322],infractructur:325,infrastructur:[0,2,3,93,164,217,218,310,326],ing:5,ingredi:[10,11,21,212],ingrediend:10,inherit:[17,168,203,296,325],inheritor:[0,164,166,167,203,218,299,313,326],init:[173,193,216,281],init_dict:166,init_from:[173,193],init_funct:[55,64,65,68,70,71,72,212],init_nod:[24,39,40,42,44,45],init_op:[96,242],init_phi:[43,45],init_point:9,init_seq:206,init_st:[10,65,68,70,71,72,212],init_typ:[9,11,55,61,63,65],initi:[7,8,9,10,12,13,15,17,21,27,37,38,39,42,43,44,45,55,61,63,64,68,69,71,72,80,97,165,173,174,177,178,193,194,198,199,211,216,238,249,256,257,281,283,312,322,324,325],initial_state_mkc:10,inittest:[71,72],inner:[9,12,170],innov:[1,2,7],inp:20,inpl_add:[7,22,25,215,245,314],inpl_adder_test:[3,7],inpl_mult:313,inplac:[166,209,217,245,246,247,261,313,322],inplace_matrix_app:[209,217],inplace_mult:22,input:[7,11,15,17,22,23,28,67,68,69,70,71,72,77,80,165,170,195,203,205,206,212,215,248,251,258,260,261,262,263,289,324],input_list:20,input_object:238,ins_0:95,ins_1:95,insert:[7,8,166,251],insid:[15,17,169,170,293,295,296,313],insight:[4,7,9,21,217],inspect:[17,105,125,171,175,191,195,289,292,302],inspir:[10,12,13,217],instal:[5,6,80,93],instanc:[3,5,7,8,9,10,12,13,14,15,24,34,55,56,58,59,60,61,62,63,64,65,67,68,69,70,71,72,80,93,120,151,166,167,169,185,186,217,298,314,325],instantan:7,instantaneusli:185,instanti:[81,83],instantiate_qiskit_backend:167,instantli:170,instead:[1,2,8,9,10,11,14,15,17,18,23,40,70,80,108,165,170,212,229,240,251,263,289,290,291,312,313,314,322],institut:5,instruct:[1,16,96,108,110,116,117,118,119,126,127,128,130,131,133,135,137,138,139,140,141,142,143,145,146,147,148,150,158,159,160,161,162,163,164,185,235,263,293,295,296],insurmount:[14,25],int_0:20,intact:[2,32,76],intefac:3,integ:[10,14,18,24,25,27,36,39,46,48,52,61,70,79,82,90,93,96,97,108,120,125,130,149,165,171,174,175,176,182,186,191,195,196,197,205,215,223,228,234,235,236,245,246,247,261,289,291,295,314,318,320],integr:[2,3,5,7,11,18,20,93,164,169,325],intend:[8,21],intended_measur:185,intens:8,intent:5,interact:[2,9,11,31,75,80,285,299],intercept:215,intercepted_messag:215,interceptor:215,interest:[0,5,7,8,14,15,218,254,289,296,314,326],interf:8,interfac:[0,1,4,25,78,79,80,81,82,83,167,183,203,211,218,289,292,299,304,310,326],interfer:[8,170],intermedi:[7,261,289],intern:[3,182,300,304,318],interoper:18,interplai:296,interpret:[8,9,10],intersect:71,intertwin:18,intl:5,intlist:[71,72,212],intric:18,intricaci:[14,314],intrigu:215,introduc:[1,2,3,7,8,9,10,12,13,15,16,17,50,102,170,239,242,251,260],introduct:[4,8],intuit:[9,10,14],inv:[7,14,17,22,189,205,223],inv_prep_psi:8,invali:177,invalid:323,invari:[31,32,38,40,42,75,76,129],invers:[7,8,14,17,22,170,189,205,223,251,262,292,313],inversionenviron:[7,251,296],invert:[1,7,8,15,105,129,170,206,209,217,247,251,262,289,291,292,294],inverted_circuit:129,investig:[2,8,14,17,24,42,61,170,187,290],investor:8,invit:[8,10,15],invok:17,involv:[5,9,10,11,15,16,18,80,248,249,251,256,310],io:79,ion:292,ip:[0,5,78,79,93,218,297,298,299,310,326],ip_address:79,ipsum:190,ipython:187,ironi:9,is_below_treshold:[15,206],is_delet:192,is_power_of_two:10,is_qfre:[235,238,240,244,248],is_simul:79,isinst:296,isn:[7,10],issu:[1,2,5,170],ist:185,item:[9,10,11,18,65,68,70,71,72,212],itemgett:[9,10,11,212],iter:[1,4,9,10,12,13,14,15,17,23,24,26,50,51,54,56,58,61,63,65,70,206,207,210,217,239,289,290,295],iter_rang:[9,56,58,59,60,61],iter_spec:[15,23,50,206,207,239],iteration_amount:295,iterationenviron:[2,4],itertool:212,itinerari:[15,206],its:[5,9,10,12,13,14,15,16,17,21,23,51,96,135,170,171,185,191,212,215,235,248,263,315,317],itself:[9,17,170,216,217,310],j:[8,9,11,14,15,17,24,26,67,70,71,72,104,125,144,206,209,212,312],ji:11,jone:[3,7,185,251],jones_ancilla:251,journei:[4,12,13],judg:9,jur:5,jurisdict:5,just:[0,7,8,9,10,11,12,13,14,15,111,185,212,218,290,326],k:[7,14,15,18,20,50,149,189,205,207,210,223,239,258,259,261,262,292,312,313,314,323],k_:149,kaiserin:5,kappa:[8,9,11,12,13,21],keep:[0,2,9,31,75,168,214,218,326],kei:[0,9,10,11,12,13,14,15,17,20,46,47,48,49,61,65,68,70,71,72,90,101,109,121,165,166,181,203,210,212,214,215,218,240,289,304,326],kept:[1,5],ket:[7,8,12,14,15,17,18,20,21,24,26,38,40,43,135,166,170,172,185,187,189,192,193,198,199,201,204,205,216,223,281,289,304,322],key_qv:[166,181],keywoard:[249,256],keyword:[1,2,7,14,15,17,20,23,24,25,26,32,36,50,61,63,65,76,152,157,168,170,172,176,179,185,187,192,196,197,200,205,206,207,215,217,223,229,235,239,248,251,261,263,289,290,295,314,319],kind:[7,8,82,115],knob:170,know:[7,8,9,10,11,14,15,16,206,215],knowledg:[3,10],known:[0,10,14,18,32,76,165,207,208,215,217,218,313,326],kolkata_qiskit:17,kolkata_qrisp:17,krei:5,kung:261,kwarg:[15,23,40,50,152,179,200,206,207,228,236,238,239,240,244,289,290],kwargs_oracl:[20,26],l:[10,12,13,24,38,70,311,312],label:[37,42,166,168,187,189,190,195,198,205,240,254],label_constellation_a:187,label_constellation_b:187,label_constellation_c:187,label_list:190,lack:166,lam:[158,282],lambda:[7,8,10,120,158,186,212,215,245,261,282],landscap:[7,12,13],langl:[20,26],languag:[0,15,18,164,168,217,218,326],laptop:5,larg:[0,2,3,14,18,24,25,51,215,218,251,295,296,326],larger:[7,8,215],largest:[10,212],last:[3,5,8,9,11,15,32,67,76,77,187,206,309],later:[15,17,59,185,206,295],latest:[1,2,3,5,79,80],latex:[17,152,187],latter:[7,9,13,313],law:5,layer:[5,12,13,21,54,56,61,62,251,261],layer_depth:[54,56,58],layout:45,lead:[9,10,12,13,212],leaf:24,leak:1,leakag:[8,32,76],lean:[0,218,326],learn:[7,9,10,11,12,14,16,17,25,215,314],least:[10,11,14,15,20,31,75,215],leav:[8,9,32,76,169,242],left:[7,8,10,14,15,20,50,166,187,189,198,207,223,239,289,296],leftrightarrow:[14,170],legal:5,legend:205,legitim:5,len:[8,9,10,11,14,15,18,24,32,62,70,71,72,76,206,212,296,315],len_univers:[71,72],leq:20,less:[8,10,24,35,170,185,250,251,289,294],less_than:[289,311],let:[8,9,10,11,14,16,20,26,215],level:[0,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ght_assumpt:41,min_r:10,mind:9,minim:[3,7,8,9,10,11,12,13,21,93,215],minimum:15,minimz:9,ministri:[0,18,218,326],minor:4,minsetcov:[12,13,21,212],minsetcoverclcostfct:72,minsetcovercostop:72,minsetcoverinfrastr:72,minut:80,misc:[50,166,239],misc_funct:166,mismatch:175,mismatchingli:28,missmatch:196,mistak:16,mitig:[1,7],mix:[8,10,12,13,32,33,55,76],mixer:[2,9,10,12,13,16,17,29,31,32,55,65,68,69,70,71,72,73,75,76,212],mixerop:[71,72],mixing_var:8,mkc:10,mkcs_obj:[10,212],mkcs_onehot:10,mobil:5,mock_gate_speed_0:185,mock_gate_speed_1:185,mod:[14,67,217,314],mode:312,model:[11,18,314],moder:251,modern:14,modif:5,modifi:[7,8,23,82,228,234,236,250,261,296,314,315,325],modul:[0,3,4,9,12,13,18,21,80,93,134,164,165,170,203,212,214,217,218,251,310,326],modular:[2,4,7,9,14,18,21,165,209,212,215,313,314],modulo:[14,213],modulu:[14,314],moment:300,monei:9,montanaro:24,montgomeri:314,month:2,more:[0,2,3,5,7,8,9,10,12,13,14,15,16,17,18,20,21,22,23,24,25,28,32,40,41,45,56,76,102,149,166,167,168,170,173,176,177,185,187,192,196,197,202,212,215,217,218,221,229,235,248,251,252,256,261,289,290,292,296,299,315,319,322,325,326],moreov:[5,15],mosaic:[9,11],most:[0,3,5,7,8,9,10,12,13,14,65,68,70,71,72,170,179,185,200,212,215,218,251,296,326],most_lik:[15,206],mostli:[1,292],motif:5,motiv:93,mount:80,mountain:5,mouth:9,move:[7,8,9,28,42],mqt:[80,93],msize:313,mu:8,much:[0,3,8,9,14,15,17,24,50,166,185,198,207,215,218,239,251,326],mul:170,mul_res_0:17,mult_int:246,mult_r:294,multi:[10,17,71,72,102,108,130,170,240,250,251,252,254,289],multi_channel_mix:8,multi_h:108,multi_h_qc:108,multi_measur:[8,15,17,23,28,39,50,165,166,177,198,205,206,213,223,239,259,289,291,294],multipl:[1,3,7,8,12,13,14,15,17,18,31,75,80,83,165,169,170,203,214,215,216,217,223,233,235,238,240,242,246,247,254,260,262,272,274,294,295,300,304,313,314,322],multipli:[17,22,165,217,242,246,247,260,272,274],multiplicaton:10,multiply:14,multiqubit:169,mundan:10,munich:5,must:[5,14,24,289,290],mutual:[69,212],n:[3,7,8,9,10,11,12,13,14,15,17,18,20,24,25,32,35,38,46,47,50,66,67,68,69,70,71,72,76,170,189,206,207,209,210,215,216,239,247,251,259,281,289,290,292,312,313,314],n_amp:322,n_f:8,n_result:[210,289],n_solut:11,na:24,name:[0,7,9,17,36,37,38,39,40,42,43,44,45,80,81,82,96,97,108,115,134,151,153,164,165,168,169,185,188,190,193,210,212,214,215,218,235,263,293,297,299,300,302,303,304,305,308,311,312,313,321,326],nanosecond:[7,185],nativ:292,natur:[5,7,14,93],ndarrai:[0,104,125,144,159,165,171,218,233,247,274,326],nearli:9,necces:169,neccess:15,neccessari:[0,14,185,218,242,326],neccessarili:296,necess:5,necessari:[5,9,11,15,17,81,169,185,203,212,295,296],need:[5,7,8,9,10,11,12,13,14,15,16,17,18,21,24,32,36,76,97,102,124,165,170,178,187,190,209,229,251,261,295],neg:[30,70,74,322],negat:70,neighbor:[3,10],neighbour:[31,75],neighbourhood:[71,72],neither:[20,23,42,170],neq:[2,8,11,32,38,76],ness:[170,235,248],nest:296,net:[170,251],network:[0,1,4,93,214,218,297,298,300,301,304,305,308,326],networkx:[8,9,10,43,55,56,58,59,60,61,62,65,68,212],never:[15,24,170,185],nevertheless:[5,167,304],new_root:44,new_statevector:[216,281],newli:11,next:[8,9,10,12,13,14,15,17,18,24,50,80,170,185,212,215,235,239,294],nice:[17,65,187],nicknam:[297,299],nielsen:14,night:9,niklassteinmann:80,nisq:[7,16,112,185,225,312,315],nisq_char:[312,315],nisq_mod:312,nitti:[203,215],nmethod:251,no_opt_tre:24,node:[9,10,24,35,36,37,38,39,40,42,43,44,45,66,212],node_color:[9,10,212],nois:1,noisi:7,non:[2,3,5,7,8,14,17,18,24,69,93,96,102,105,113,165,167,170,182,185,212,223,229,248,256,295,315,318,320],none:[8,20,22,23,24,25,28,36,45,46,47,50,55,68,78,79,81,82,83,84,85,88,96,97,102,106,107,121,131,134,136,149,151,153,165,166,167,168,173,176,181,183,185,187,188,190,193,194,196,197,206,207,212,228,229,233,235,236,238,239,242,244,253,254,258,260,261,262,271,272,273,274,291,293,297,298,299,304,306,307,311,312,313,314,315],nonprofit:5,nonzero:212,noqa:[50,151,197,239],nor:[5,20,23,42,170],norm:113,normal:[7,10,38,178,199,325],notabl:[0,3,7,218,326],notat:[223,289,313],note:[0,3,5,7,8,9,10,11,14,15,17,24,28,40,97,102,115,120,124,165,166,167,169,170,173,174,177,182,185,186,190,192,194,199,215,218,219,235,247,248,290,296,299,300,304,311,313,314,315,318,326],notic:[5,7,9,14],notif:5,notifi:5,notion:170,notwithstand:5,novel:[2,8,10,18],novelti:2,novic:9,now:[1,2,3,7,8,9,10,11,12,13,14,15,17,24,42,44,50,56,97,125,166,167,170,173,177,185,187,189,192,198,199,204,205,207,212,214,215,239,245,251,256,259,261,263,283,289,292,299,302,305],np:[1,7,8,9,10,11,14,15,17,20,23,26,27,32,50,52,76,80,104,125,129,149,165,171,173,174,175,177,178,179,189,200,204,205,206,207,209,211,212,216,223,233,239,247,260,274,281,289,290,292],nq_:11,nr_:11,num:[258,259],num_ancilla:[251,252],num_clbit:[96,97],num_ctrl_qubit:102,num_nod:[10,212],num_qubit:[7,15,17,96,97,170,185,206,215,216,251,281],number:[0,3,5,8,9,10,12,13,14,15,16,17,20,23,25,31,32,51,63,65,66,67,70,71,72,75,76,115,144,168,185,199,203,206,207,212,213,218,251,310,313,314,315,322,326],number_of_nod:[9,65,68,212],numer:[9,20,187,213,235,248,258,259,311],numpi:[0,8,9,10,11,14,15,17,20,26,27,32,50,52,76,80,93,104,125,129,144,149,159,165,176,177,179,187,189,200,203,204,205,206,207,209,211,216,218,223,233,239,247,248,260,274,281,289,292,326],numvar:70,nx:[9,10,65,68,69,212],o:[5,10,12,13,15,17,18,204,205,311,312],obei:[122,123],obj:[57,71,72],obj_for_mea:[9,10,11],object:[0,1,7,9,10,11,17,18,28,36,42,70,78,83,89,95,96,97,103,108,124,125,153,157,164,165,167,168,169,170,185,187,188,192,210,214,218,225,235,261,279,293,310,326],oblig:5,observ:[3,7,9,185],obtain:[5,9,10,11,20,212,215],obvious:7,occupi:170,occur:289,odd:[8,14,24,40,209,247],odditi:24,offer:[0,1,5,7,10,218,326],often:[0,7,8,9,12,13,218,326],oh:9,omega:187,onc:[2,3,5,7,8,9,13,14,15,17,18,25,31,75,164,169,170,202,206,295,296],one:[0,7,8,9,10,11,12,13,14,15,18,24,67,72,80,81,100,165,169,170,176,180,194,197,203,212,214,215,218,245,251,265,268,302,305,313,315,326],one_hot_enc:[10,212],ones:[8,9,10,24,31,50,75,81,130,165,173,174,207,215,216,239,281],onli:[0,1,2,5,7,8,9,10,11,14,15,22,24,32,76,113,165,168,169,170,185,209,215,218,219,235,247,248,251,252,256,261,263,289,290,292,294,295,296,311,312,313,314,320,326],onlin:[5,9],onto:[8,15,17,23,165,194,238,261,263,289],op:[7,95,185,215,225,279,293],open:[0,3,5,9,18,79,80,176,184,218,254,326],openqasm:[0,122,123,134,218,326],oper:[1,3,5,7,8,9,10,11,14,15,17,20,21,26,35,38,40,41,50,51,55,95,108,115,120,126,129,144,151,153,164,165,166,167,168,169,170,174,177,185,186,192,194,198,199,203,204,206,207,209,212,215,225,239,242,249,251,256,261,263,279,283,289,290,292,293,294,296,300,301,310,311,313,314],operand:[95,96,233,281],operation_or_instruct:108,opportun:9,oppos:5,opt:5,opt_r:[63,65],opt_tre:24,optim:[1,4,7,8,9,10,11,12,13,14,16,17,18,24,54,55,56,61,63,65,70,185,206,212,217,261],optimal_solut:[9,54,56,58,59,60,61],optimal_theta:9,optimis:9,optimist:3,optimizatin:51,option:[7,9,15,20,22,23,24,25,26,27,28,36,40,41,43,45,46,47,50,56,58,60,61,63,65,79,81,83,90,93,95,97,102,104,106,107,108,110,113,120,121,125,130,131,134,136,149,151,153,172,173,176,181,183,185,186,187,188,190,192,193,194,196,197,202,212,228,233,234,235,236,239,240,242,248,249,250,251,252,253,254,256,258,259,260,261,262,271,272,273,274,289,291,293,297,298,321],oqv:[56,60],oracl:[8,16,20,26,32,50,51,76,77,170,206,207,220,239,240,288],oracle_funct:[20,26,50,239],orang:10,order:[3,5,7,9,10,11,12,13,14,15,16,17,21,22,93,97,121,129,144,164,167,168,170,185,187,205,223,229,304,310],ordinari:15,org:[50,239,292,321],organ:5,organiz:5,orient:[0,97,218,326],origin:[12,13,14,15,28,70],orthogon:[8,20,26],other:[0,1,3,7,8,9,10,11,14,15,17,18,21,28,71,72,81,97,100,113,116,121,138,141,145,153,161,165,170,177,185,198,212,218,235,251,258,262,263,265,268,285,289,297,299,310,313,314,315,326],otherwis:[8,14,35,40,187,188,250,296,322],otim:[8,68,69,108],our:[1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,170,206,210,212,215,217,289,290],ourselv:[9,11,215],out:[3,5,7,8,9,10,11,12,13,14,16,55,61,71,72,93,97,124,153,168,170,185,195,206,215,228,233,236,242,261,314],outcom:[17,113,126,166,170,171,179,190,191,200,205,214,289,304],outcome_label:176,outcomearrai:[15,27,28,39,52,165,171,173,174,176,177,178,179,206,209,211,216,233,247,260,274,281],outlier:9,output:[0,8,9,12,13,17,28,134,152,165,203,218,223,233,260,274,314,326],output_arrai:[260,274],output_qf:[242,271,272,273],outsid:[80,295,296],oven:10,over:[0,3,7,9,10,12,13,14,18,24,67,70,166,167,173,209,212,218,247,326],overal:[3,8,9,56,185],overcom:[0,8,170,218,326],overflow:[165,209,246,260,274,313],overhead:[3,7,15,17,170,215],overload:[191,195,295],overrid:5,overst:10,overview:[4,9,13,21],overwritten:183,own:[5,7,8,11,12,13,14,25,56,167,169,185,203,215,217,248,314],p:[7,8,9,10,12,13,14,17,20,21,23,32,48,49,50,62,66,76,80,97,109,125,129,187,197,202,204,207,215,239,256,289,290,292,312],pack:2,packag:[9,212,325],page:[4,5,6,15,16,45,203,252,261,314],pai:9,pair:[7,9,10,68,69,214,215,251,304,305],pairwis:71,paper:[7,8,9,12,13,14,15,24,40,42,56,70,149,207,215,228,234,236,251,279,314],paradigm:[0,218,326],parallel:[7,169,261,310],parallelize_qc:[1,28],param:[96,101,105],paramet:[2,4,7,8,9,12,13,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,90,95,96,97,100,101,102,104,105,106,107,108,109,110,113,116,117,118,119,120,121,122,123,124,125,126,127,128,130,131,133,134,135,136,137,138,139,140,141,142,143,145,146,147,148,149,150,151,152,153,157,158,159,160,161,162,163,164,171,172,173,174,175,176,177,178,179,180,181,182,183,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,215,217,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,289,290,291,293,295,297,298,299,303,304,305,308,318,319,320,321,323,324],parametr:[1,3,7,8,18,33,62,102,137,139,140,149,215,217],paramount:7,parent:[17,44,315],pariti:[10,24,40],parkwai:5,part:[0,1,5,7,12,13,14,15,18,24,170,218,326],parti:[5,164],partial:[5,205,223],particip:[15,17,214,299,305,308,310],particular:[5,9,10,12,13],particularli:215,partit:11,partner:251,pass:[23,28,54,245],past:[2,14],path:[8,24,36,37,38,39,43,44,80],path_cond:[36,42],path_condit:24,pattern:[7,9],pauli:[7,11,70,129,160,162,163,212],pave:4,payment:5,pdf:[50,239],peak:7,pedagog:10,peek:[9,12],pennylan:[2,68,69,80,154,155,212],per:[2,3,10,15,54,61,71,72,169,170,206,295],percent:[50,207,239],perfect:212,perfom:[8,290],perform:[0,1,2,3,4,5,8,10,11,12,13,14,17,18,20,21,22,23,24,25,26,27,31,33,35,36,38,40,41,52,55,56,61,71,72,75,77,136,144,149,166,169,170,172,174,177,179,182,185,192,194,195,198,200,202,206,209,210,211,213,214,215,216,217,218,228,230,231,232,233,234,235,236,237,240,241,243,246,247,248,249,250,251,253,254,256,258,259,260,261,263,264,265,266,267,268,269,270,271,272,273,274,276,277,278,280,281,282,283,284,285,286,287,289,290,292,295,296,298,304,308,310,313,318,320,322,326],perform_qft:234,perfrom:[50,239],period:[5,7,51],perm:[15,52,256,257],perm_lock:257,perm_specifi:[15,206],perm_unlock:256,permabl:248,permeabl:[2,15,235,238,240,244,248,256],permiss:5,permit:[18,288],permit_dirty:194,permit_mismatching_s:[15,28,206],permuat:15,permut:[15,28,51,206],permutation_specifi:15,permute_iter:[1,52],person:10,pet:15,peter:[14,25,215],pgate:[96,101,105,204],ph:[50,239,292],phase:[1,3,7,8,9,10,11,12,13,14,15,16,21,24,29,30,31,32,35,36,50,51,73,74,75,76,77,97,101,102,105,109,113,116,125,126,129,133,157,170,189,204,205,206,207,215,223,226,237,239,240,242,250,251,255,256,257,260,265,268,285,289,292],phase_apply_summed_dist:[15,206],phase_g:105,phase_toler:[242,260],phaseshift:[50,207,239],phenomenon:170,phi:[17,18,32,38,43,76,101,116,125,126,133,137,138,139,140,141,149,158,161,187,189,204,226,227,237,250,255,264,265,266,267,268,279,282,285],phi_1:[14,17],phi_2:17,phi_:[7,14],philosophi:170,phone:5,physic:[0,3,7,9,93,126,185,218,326],pi:[7,8,9,12,13,14,15,17,20,23,26,32,50,76,104,125,129,149,179,189,200,204,205,206,207,223,239,240,248,289,290,292],pick:[8,10,14,24,250],pictori:5,pictur:8,piec:[9,11,167],pineappl:3,ping_func:[89,93],pinpoint:169,pioneer:7,pip:[6,80],pizza:3,place:[1,5,7,14,22,25,28,95,121,215,217,228,234,236,261,263,313,314],placehold:128,placement:190,plai:[8,9,11,215,314],plaintext:[46,47],plane:[31,75],platform:[0,3,217,218,326],pleas:[5,7,10,14,24,25,32,42,76,187,217,314],pleasant:5,plethora:10,plot:[2,3,60,187,197,205],plt:[10,24,45,68,205,212],plug:[8,121],pm:7,pmatrix:[11,158,170],po:[9,45,212],point:[0,7,8,10,14,15,17,18,20,122,169,170,187,218,260,313,326],polici:5,polynomi:[2,271,272,273,321],popular:[14,215,233],port2:80,port3:80,port4:80,port5:80,port6:80,port7:80,port:[78,79,80,81,82,83,84,85,88,93,233,281,297,298,299,308],portfolio:8,portion:3,posit:[9,15,28,45,70,165,196],possess:10,possibl:[0,3,5,7,8,9,10,15,17,18,24,71,72,81,82,93,165,167,170,185,188,196,197,203,215,218,249,251,256,260,274,289,296,304,311,314,315,320,326],post:[11,55],potenti:[0,1,12,13,14,21,24,25,218,251,315,326],power:[1,2,3,9,14,24,25,46,165,217],powerful:[3,7,9,14],pprm:[2,181],pprm_pt:181,practic:[7,13,212],pre:[7,215,261],prebuild:15,prec:[20,50,207,239,258,259,262,313],precalcul:261,preced:9,precis:[0,7,8,14,15,17,19,20,23,24,35,36,50,77,104,113,125,149,206,207,218,221,239,258,259,261,262,279,313,326],precompil:[1,295],precompiled_qc:[2,176,197],precomput:14,predefin:[1,10,21,212],predic:[8,24,32,76],predomin:2,prefer:[10,166,212,298],prefix:288,prematur:296,prep_allowed_st:8,prep_psi:8,prepar:[8,9,10,11,12,13,14,17,20,21,26,55,64,166,205,207,238,302],presenc:35,present:[0,1,2,8,14,15,18,201,206,212,217,218,250,292,326],preserv:8,presid:5,presolv:2,press:5,presum:14,pretrain:21,pretti:[9,15,16,17,187],prevent:[1,2,3,5,10,246,251,313],previosli:8,previou:[7,8,10,15,80,135,288],previous:[0,2,3,7,8,15,17,18,189,218,295,304,326],primari:24,prime:[14,215],primit:[4,82],principl:[8,10,12,13,15,169,170,215],print:[1,5,7,8,9,10,11,14,15,17,18,27,28,32,36,38,40,42,43,44,50,52,55,56,58,62,65,68,70,71,72,76,79,80,82,95,97,98,102,108,109,112,113,121,124,129,157,165,166,167,168,169,170,171,173,174,175,176,177,178,179,181,182,185,187,189,190,191,194,195,196,197,198,199,200,201,202,204,205,207,208,209,210,211,212,213,214,215,216,224,228,229,233,234,235,236,238,239,242,245,246,247,248,251,257,258,260,261,262,263,271,272,273,274,281,283,289,290,291,292,293,294,295,296,300,301,302,303,309,311,313,314,315,318,320,321,322,323,324,325],print_r:[9,58],prior:[5,192],priorli:185,privaci:5,privat:[48,49,215],pro:15,prob:10,probabilist:9,probabl:[3,7,8,9,10,11,14,17,20,24,26,35,50,176,178,197,207,214,239,254,322],problem:[0,1,2,3,8,9,10,12,13,14,16,17,18,20,24,26,51,54,55,56,61,63,64,65,170,185,206,217,218,295,326],problemat:70,proce:2,procedur:[1,8,10,14,15,17,170,203,229],process:[0,7,8,9,10,11,12,13,14,15,16,17,18,24,55,93,166,169,170,205,212,217,218,235,296,314,326],processor:[5,7],prod_:[11,12,13],prod_j:70,produc:[0,7,12,13,207,218,326],product:[5,8,14,185,215,233],prof:5,profession:9,profici:16,profil:5,profit:[7,185,215,261],profound:7,program:[0,1,2,4,5,9,10,14,16,18,168,170,208,218,251,289,299,310,326],programm:[0,16,218,326],progress:7,progressbar:[2,3],project:[0,3,5,16,18,218,325,326],promin:8,promis:[11,13,16],propag:8,proper:[1,2,3,24,80,131],properli:[2,17,24,170,212],properti:[8,12,13,14,15,24,209],proport:[7,35],propos:[10,11,12,13,14,24,196],proprietari:5,protocol:[14,214],proud:18,proven:[5,215],provid:[0,4,5,7,8,9,10,11,12,13,14,15,16,17,18,21,24,25,32,51,55,76,80,81,82,93,97,170,203,212,215,217,218,235,288,289,292,296,310,315,326],psi:[17,20,26,187,189,199,223,289,304],psi_0:[12,13,20,26,170],psi_1:[20,26,170],psi_2:170,psi_3:170,psi_f:8,psi_p:[12,13,21],pt2cx:[170,185],pt3cx:202,publicli:18,publish:[5,80],pull:80,pure:[0,6,218,326],purpos:[1,8,17,24,170,235,249,257,296],push:4,put:[8,9,10,15,24,248,311],puzzl:9,py:[80,167,176,197,254],pypi:6,pyplot:[10,24,45,68,205,212],python:[0,2,6,15,17,20,23,26,49,50,80,82,93,166,168,169,176,187,188,189,197,203,205,218,223,238,239,261,312,313,325,326],pytket:[2,80,93,155],pyzx:18,q:[0,8,10,11,12,13,14,17,26,48,49,215,218,259,312,326],q_0:[97,124,170],q_1:[97,124],q_2:[97,124],q_3:[97,124],q_:[11,258,259,262],q_arr_0:[233,260,274],q_arr_1:[233,260,274],q_arrai:[165,171,174,175,176,178],q_array_0:[173,211,260],q_array_1:[165,173,211,260],q_array_2:[165,173],q_array_a:177,q_array_b:177,q_array_c:177,q_array_swap:165,q_bool:294,q_bool_0:[289,311],q_bool_1:[289,311],q_bool_2:[289,311],q_bool_3:311,q_ch:[195,249,257,283,289,311,312],q_ch_0:[238,256,289],q_ch_1:[238,256,289],q_ch_2:238,q_ch_list:238,q_div:313,q_divmod:[213,217],q_iq_j:11,q_jq_i:11,q_matrix:274,q_mult:294,q_str:[208,291,315],q_str_0:315,q_str_1:315,q_str_2:315,q_str_3:315,q_str_nn:315,q_sym:11,q_up_triang:11,q_vector:247,qa:[15,27,28,52,179,206],qa_1:52,qa_2:52,qa_3:52,qa_4:52,qa_5:52,qa_6:52,qa_7:52,qae:[3,20],qaoa:[3,4,15,16,21,51,54,55,217],qaoa_inst:62,qaoabenchmark:[2,61],qaoainstanc:[65,68,70,71,72,212],qaoansatz:[9,10],qaoaproblem:[2,8,12,16,56,66,68,70,71,72,212],qarg:[8,9,10,11,32,55,56,58,59,60,61,62,63,65,68,70,71,72,76,212],qarg_dupl:62,qarg_new:65,qarg_train:65,qasm:[79,82,83,122,123,167,183],qasm_sim:183,qasm_simul:[18,79,80,82,83,93,183],qasm_str:[79,82,123],qb:[9,20,26,28,98,144],qb_0:[7,95,97,107,109,113,121,129,157,303],qb_10:[97,108,124],qb_11:[97,108,124],qb_1:[7,95,97,109,113,121,157,303],qb_20:302,qb_26:300,qb_2:[7,97,109,113,121,157,303],qb_34:[204,301],qb_35:[204,301],qb_36:204,qb_3:[7,97,113,121,157,303],qb_41:293,qb_42:293,qb_4:[97,102,108,121],qb_58:300,qb_59:112,qb_5:[97,102,108,121],qb_60:112,qb_61:112,qb_62:112,qb_6:[97,102,108,121],qb_77:300,qb_7:[97,102,108,121],qb_8:[97,108,124,300],qb_9:[97,108,124],qb_list:303,qbl:[320,322],qbtnode:43,qc:[7,9,18,78,80,82,86,90,94,95,96,97,98,102,107,108,109,112,115,125,129,136,144,149,153,157,164,204,215,217,251,261,302,304,305],qc_0:[97,113,153,185,300],qc_1:[97,113,153,185,300],qc_2:[97,124],qc_fixed_0:185,qc_fixed_1:185,qc_to_extend:121,qch:[17,205],qcla:[3,7,215,245],qcla_2_0:245,qcolor:10,qcolor_0:10,qcolor_1:10,qd:[15,166,206,325],qd_to_zero:206,qdict:[15,206],qdict_calc_perm_travel_dist:[15,206],qdict_compiled_qc:[15,206],qdict_r:15,qf1:[166,228,236],qf2:[166,228,236],qf:[7,17,28,82,83,166,183,189,191,197,199,200,205,210,211,233,246,260,262,274,289,290,292,294,295,299,308,311,317,319,320,322,323,324],qf_0:[17,185,187,193,194,242,254,271,272,273,289],qf_1:[185,187,193,194,242,254,271,272,273,289],qf_a:198,qf_b:198,qf_c:198,qf_inv:262,qf_invers:313,qf_list:[50,239,240],qf_re:[185,187,242,271,272,273],qf_size:[15,206],qf_sum:254,qfloat_typ:[216,281],qfree:[15,170,235,248],qft:[1,3,14,15,17,22,185,189,205,223,234,242,290,292],qft_dg:[205,290],qg:[7,14,215],qiskit:[0,1,2,15,17,18,79,80,81,82,83,93,97,124,144,151,152,153,156,157,164,167,183,197,218,326],qiskit_backend:[79,82,93,167],qiskit_endian:22,qiskit_ibm_provid:17,qiskit_kwarg:157,qiskit_qc:[17,79,82,124],qiskitquantumcircuit:[97,124],qiskitruntimebackend:82,qn:214,qompil:[0,218,326],qpe:[14,15,17,23,50,206,207,239,295],qpe_calc_perm_travel_dist:[15,206],qpe_compiled_qc:[15,206],qpe_r:[14,15,24,35],qrang:[210,217,289],qrisp:[4,6,7,8,9,10,11,12,13,14,15,16,20,21,23,24,25,26,27,28,50,51,52,55,67,68,69,70,71,72,77,78,79,80,81,82,83,93,94,95,96,97,98,164,165,166,167,168,169,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,289,290,291,292,293,294,295,296,297,298,299,310,311,312,313,314,315,325,326],qrisp_qc:62,qrisp_qc_2:[97,124],qrispblu:18,qrispdock:80,qrispdockerbackend:80,qrispertoir:16,qrispi:[9,11,215],qrispier:9,qrispifi:16,qrispifyyi:10,qs:[7,8,9,10,14,15,17,23,24,26,38,40,50,52,164,165,167,168,169,170,173,182,183,185,187,188,190,193,202,203,204,205,206,207,215,224,229,235,238,239,248,251,261,263,289,290,292,293,294,295,296,299,308,311,312,313,314,315,318,320],qs_2:167,qstep_diffus:42,qtype:[9,10,11,15,24,28,165,166,171,173,174,175,176,177,178,181,193,209,211,212,216,247,281],quad:8,quadra_and:170,quadrat:[3,11,16,24],qualiti:[9,21,168,215],quant:[50,239,292],quantinuum:18,quantiti:[7,8,24,56],quantum:[0,3,4,7,8,9,10,11,12,13,14,15,16,18,25,27,29,30,31,35,36,38,41,42,43,46,47,50,51,56,61,63,65,73,74,75,93,96,97,112,128,149,164,165,166,168,169,170,176,177,178,182,187,191,194,197,199,203,204,205,207,212,215,216,217,218,219,223,225,229,235,239,245,247,261,263,281,289,290,292,293,294,295,297,300,304,311,313,314,315,318,320,326],quantum_backtrack:24,quantum_bit_shift:[1,182,318],quantum_condit:289,quantum_count:77,quantum_eq:289,quantum_float:[166,193],quantum_network:[214,297,298,299],quantum_object:9,quantum_sess:168,quantum_step:[24,38],quantumarrai:[0,1,2,9,10,11,15,24,27,28,32,51,52,55,61,62,76,206,209,211,212,216,218,233,247,260,274,281,315,325,326],quantumbacktrackingtre:[1,24],quantumbool:[0,1,7,8,15,17,20,24,26,28,32,36,37,38,39,40,42,43,44,45,76,165,170,185,215,218,229,263,289,294,313,320,322,325,326],quantumchar:[0,17,195,205,218,223,238,249,256,257,283,289,311,315,325,326],quantumcircuit:[0,1,2,3,7,15,17,18,52,62,67,68,69,70,71,72,78,79,80,82,83,90,93,94,95,96,98,102,164,167,168,169,170,176,182,185,186,187,197,202,204,205,214,218,219,224,229,235,248,251,254,263,289,292,293,294,296,300,301,302,304,305,311,318,326],quantumcolor:212,quantumcolor_arrai:[10,212],quantumd:325,quantumdictionari:[0,2,15,206,218,326],quantumenviron:[0,1,167,169,290,291,292,294,295,296],quantumfloat:[0,1,7,8,14,15,17,18,20,23,24,27,28,35,36,37,38,39,40,42,43,44,45,50,52,82,83,165,166,168,171,173,174,175,176,177,178,179,181,183,185,187,189,191,193,194,197,198,199,200,203,206,209,210,211,213,216,218,223,228,233,234,236,239,240,242,246,247,254,258,259,260,261,262,271,272,273,274,281,288,289,290,292,294,295,299,308,311,314,325,326],quantummodulu:[3,7,14,25,215,325],quantumnetwork:[217,298,299,301,304],quantumnetworkcli:[214,299,310],quantumnetworkserv:[214,297,299,300,302,303,304,305,308,310],quantumnetworksess:310,quantumregist:18,quantumsess:[0,15,17,24,102,112,164,168,169,170,173,176,188,190,192,193,197,202,204,205,218,219,225,251,295,296,299,310,326],quantumst:[70,212],quantumstr:[0,208,217,218,291,325,326],quantumvari:[0,1,2,3,7,8,9,11,12,13,14,15,16,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,50,51,52,55,56,58,59,60,61,62,63,65,67,68,69,70,71,72,73,74,75,76,77,80,93,164,165,166,167,169,170,172,173,176,177,178,181,182,183,185,187,204,205,207,212,218,223,224,226,227,228,229,230,231,232,234,235,236,237,238,239,240,241,243,245,248,249,250,251,252,253,254,255,256,257,263,264,265,266,267,268,269,270,275,276,277,278,280,282,283,284,285,286,287,289,290,291,292,293,294,295,296,299,308,309,310,311,312,313,318,319,325,326],quanumarrai:260,qubit:[0,1,3,7,8,9,10,12,13,14,15,17,18,27,28,29,31,32,40,41,52,54,56,67,70,71,72,73,75,76,77,78,80,95,96,97,102,107,108,110,111,115,116,117,118,119,121,126,127,128,130,131,132,133,135,137,138,139,140,141,142,143,144,145,146,147,148,149,150,153,158,159,160,161,162,163,164,165,169,170,171,172,174,178,185,188,191,192,194,195,196,197,198,199,201,203,204,206,212,214,215,218,219,224,226,227,228,229,230,231,232,234,235,236,237,241,243,245,248,249,250,251,252,253,255,256,257,261,264,265,266,267,268,269,270,275,276,277,278,280,282,283,284,285,286,287,289,291,292,295,300,302,303,304,305,310,312,313,315,320,322,323,326],qubit_0:214,qubit_1:214,qubit_2:168,qubit_amount:[54,56,58],qubits_0:[116,117,118,119,138,141,145,161,226,227,265,268,275,285],qubits_1:[116,117,118,119,138,141,145,161,226,227,265,268,275,285],qubo:[4,12,13,15,16,18,21,212],qubo_cost_oper:11,qubo_inst:11,qubo_obj:11,qubo_problem:11,quboproblem:11,queri:[1,3,7,17,79,93,169,172,210,304],quest:7,question:[5,21,170,215],queue:170,quick:[50,55,197,207,239],quicker:187,quickli:[10,24,93,97,168,174,194,289,293,295],quit:[7,215],qulac:[80,93],qunicorn:[78,79,80],quot:5,quotient:[14,213,258,259],qv1:80,qv2:80,qv:[8,9,11,15,17,19,22,23,29,30,31,32,33,50,65,73,74,75,76,77,93,164,165,167,168,185,187,190,192,196,201,203,204,206,207,224,239,291,292,293,296,308],qv_0:[203,235,289],qv_1:[9,192,203,235,289],qv_2:203,qv_a:167,qv_b:167,qv_list:[50,239,254],qv_p:9,qx:8,r:[7,8,9,10,12,13,14,38,80,212,259,261,312],r_:67,r_a:40,r_b:40,r_br_a:41,r_candid:14,radial:8,radian:205,radix:261,radix_bas:[245,261],radix_expon:[245,261],rais:[10,14,15,20,23,28,50,102,104,105,109,151,175,176,177,178,180,181,182,184,192,195,196,197,198,199,201,206,239,247,249,254,256,260,261,263,274,289,313,317,318,320,322,323],ran:[11,215],rand:9,randint:[209,214],random:[9,10,11,14,55,61,63,65,209,212,214],randomli:[15,185,247],rang:[1,9,10,11,12,13,14,15,17,18,20,24,50,71,72,80,97,108,109,115,121,124,136,168,205,206,207,209,212,217,239,290,292,295,296,313],rangl:[9,11,12,13,20,26,187],rank:9,raphael:5,rare:[3,169],rat:14,rate:207,rather:[7,10,15,166,198,251,314],ratio:[9,56,58],ration:14,raw:[0,218,326],re:[1,2,8,9,10,11,12,13,15,16,17,18,20,21,23,24,25,36,50,55,65,68,70,71,72,83,93,100,101,166,171,173,176,185,206,207,211,212,233,235,239,248,260,262,263,274,289,304,314],reach:[5,8,15,39],read:[1,2,3,7,17,21,22,25,39,70,80,175,215,251],readabl:[5,10,17,18,47,168,171,191,195,203],reader:8,readi:[8,12,13,16,17],readibl:24,readthedoc:79,real:[0,8,81,167,218,326],realiz:[7,10,15,93,166,209,214,290,299],realli:[9,12,13,170,215,295],realm:[1,7,13,14,16,25],realtion:71,reap:170,reason:[5,7,9,10,14,144,247],receiv:[3,5,8,15,17,20,23,26,36,55,79,82,93,120,186,205,207,223,229,302,309,310,324],received_qubit:[214,302,305],received_qv:309,recent:[0,168,215,218,326],reciepi:305,reciev:[17,82,166,171,176,191,197,199,205,223],recip:[9,10,21,170,212],recipi:[5,305,308],recipient_0:214,recipient_1:214,recogn:5,recommend:[8,14,15,17,206,314],recompil:[185,251],recomput:[15,16,192,202,206],record:295,recov:72,recreat:15,rectif:5,recurs:[1,24,251,261],recycl:[8,17,18,170,251],red:[10,18,212],redefin:170,redetermin:15,redirect:263,redirect_qfunct:294,redirected_and:263,redirected_funct:263,reduc:[3,7,8,14,15,16,23,28,167,170,185,215,260,261,295],reduced_maslov:185,reduct:[1,14,314],refer:[1,5,9,17,18,40,217,321],refin:9,reformul:15,refresh:9,reg:[168,169,196,201],regard:[2,5,8,9,32,61,76,221],regardless:[18,135],regist:[0,5,14,15,17,167,168,169,173,183,188,190,193,203,218,219,295,296,326],registr:5,regul:5,regular:[0,1,7,14,50,165,168,205,206,207,218,223,239,289,310,324,326],regularli:5,regulatori:5,reject:[1,2,24,34,36,37,38,39,40,42,43,44,45],rel:[7,9,10],relabel:7,relat:[2,5,8,17,21,71,72,166,185,203],relationship:8,releas:[1,2,80,314],relev:[7,17,55,169,170,215,235,314],reli:[8,14,215],reliabl:203,remain:[1,10,206,215],remaind:[213,217,258,259],remark:9,remedi:[7,8,295],rememb:[12,13,24,144,215],remot:[0,3,93,218,326],remov:[2,185,201,296],renam:[9,168],render:[17,187],reorder:185,repeat:[7,12,13,14,15,23,295],repeatedli:[15,18],repertoir:3,repetit:[9,56,58,59,60,61],replac:[1,16,70,97,170,185,251],repo:93,report:[5,81],repositori:80,repres:[0,7,8,9,10,12,13,14,15,17,20,21,23,24,26,42,43,54,65,70,71,72,90,94,97,154,155,164,171,178,187,191,203,205,206,218,251,304,311,312,313,314,326],represent:[0,31,39,75,187,218,314,326],repurpos:18,request:[1,5,79,93,298,304],request_qubit:214,requir:[5,7,8,10,14,15,21,24,35,80,102,149,166,169,170,178,185,192,199,202,212,215,235,251,260,279,295,313,315],requirementsdock:80,res_arrai:28,res_bit_shap:[260,274],res_bool:289,res_list:302,res_onehot:10,res_q_bool:289,res_sampl:9,res_str:[9,10,212],res_str_onehot:10,resdict:70,research:[0,7,9,18,215,218,326],resembl:15,reserv:5,reservoir:[7,22],reset:[9,17,170,192],reshap:[0,165,216,218,281,326],resid:5,resolv:8,resourc:[7,8,14,15,17,18,24,102,170,185,215,229,242,251,298,314],respect:[5,8,10,12,13,18,20,21,24,79,80,251],respons:5,rest:[10,15,93],restart:14,restrict:[5,112,170,225],result:[1,2,3,7,9,10,11,14,15,17,18,20,21,24,35,54,56,58,59,60,61,63,65,67,68,69,70,71,72,79,82,93,95,131,136,151,165,166,169,170,171,176,185,193,194,197,199,205,206,209,210,214,215,223,233,235,242,248,253,258,260,261,262,263,271,272,273,274,281,288,289,292,293,294,295,296,304,311,313,314,320,325],retain:14,retriev:[1,15,17,39,43,144,165,166,187,204,205,206,214,293,300,301,319,322,323],retroact:251,retur:93,return_root:43,return_typ:[15,166,181,187,206],reus:[3,7,15,17,170,185],reveal:14,revers:[15,22,24,65,68,70,71,72,121,129,144,170,175,195,209,212,247,249,256,257,283],revert:[10,15,170,206,294],revisit:10,revolution:[14,25],revolv:1,reward:10,rgb:18,rgqftmultipli:18,rigetti:[18,80,93],right:[7,8,9,14,15,16,20,50,166,185,187,189,198,207,212,215,223,239,289],rightarrow:[7,8,11,14,20,32,35,40,76],rightsquigarrow:38,ring:[10,14],risk:8,rnd:9,rndfo:9,role:314,room:[12,13],root:[24,37,38,39,40,43,44,80],rotat:[7,9,29,31,73,75,102,248],roughli:[15,203],round:[15,125,187,209,324],rounded_valu:324,rout:[16,206],routin:[12,13,164],row:11,rsa:[14,49,215],rsa_decrypt_str:215,rsa_encrypt_str:[47,215],rule:[5,71,72,144],run:[0,3,7,8,9,10,11,12,13,17,18,21,24,54,55,56,58,60,61,62,68,70,71,72,78,79,81,82,83,93,94,95,97,185,212,214,215,217,218,245,295,298,299,300,302,305,326],run_data:56,run_func:[79,80,82,84,90,93],runtim:[2,54,56,58,81,82,120,185,186,235],rx:[9,10,29,62,73,102,149,204,212],rx_mixer:[9,10,11,55,65,68,70,212],rxgate:102,ry:[20,26,179,187,200,248,267],rz:[7,9,11,30,74,149,157,227,279,292],rz_mixer:[71,72],rzz:11,s:[0,4,5,8,9,10,11,12,13,15,16,18,24,31,36,46,51,65,70,71,72,75,80,82,105,112,134,143,153,164,165,168,170,175,185,187,195,199,202,205,210,212,214,217,218,223,229,239,242,248,249,251,256,257,260,270,283,288,289,291,294,296,303,304,305,312,314,316,326],s_0:15,s_1:15,s_i:15,s_j:[71,72],s_k:15,s_n:15,sacr:10,sacrif:9,saeedi:2,safe:[260,274],sai:[8,9,24],said:[5,215],salesman:[16,18,51,206,217],same:[0,9,10,15,18,21,24,34,61,78,82,93,97,108,125,149,165,177,185,193,198,203,206,215,218,242,251,254,263,292,295,296,305,326],sampl:[9,10,14,20,289],sampler:[80,82,93],san:5,sandra:5,sat:[1,12,13,21,24,51,212],satisfact:51,satisfi:[8,20,24,32,67,70,76,258,259,262],save:[5,57,134,197,242,312],saw:8,sbo:14,sbp_anc_0:17,sbp_anc_1:17,sbp_anc_2:17,sbp_anc_3:17,sbp_anc_4:17,sbp_anc_5:17,sbp_mult:[185,242,295],scalabl:[3,18,203],scalar:[233,274],scale:[7,18,166,215,235,248,251,261,295],scenario:215,scheme:[10,212],scienc:[0,9,18,215,218,326],scientif:[0,2,8,10,218,229,326],scipi:9,scope:[11,185],score:9,screen:8,script:[17,18,80,214,217,251,289],scroll:9,search:[3,7,8,14,15,16,17,18,24,51,195],season:10,second:[7,8,9,14,15,17,28,54,56,100,108,110,165,169,170,178,185,226,227,233,235,242,245,254,256,260,265,268,271,272,275,281,282,285,296,311,313],section:[5,7,8,9,10,11,12,13,24,80,170,212,217,229,288,290,311],secur:[14,215],see:[7,8,9,10,11,12,13,14,15,17,18,24,38,40,42,50,68,69,70,71,72,80,149,165,166,169,170,182,185,207,215,223,239,251,289,290,313,318,319],seed:[65,66,68,212],seem:[7,15,170,289],seen:[8,12],seidel:5,select:[5,9,10,15,56],self:[0,10,16,34,36,44,100,112,121,134,144,149,151,187,193,218,242,296,319,320,325,326],semant:[176,178,185,233,281,296],semi:[261,271,272,273,321],send:[5,11,93,302,304,305,308,310],send_qubit:[214,301,302],send_qv:309,sens:[10,157,193],sensit:14,sent:[5,8,299,302],separ:[5,8,9,10,11,12,13,18,21,82,169,298],seper:[71,72],sequenc:[3,8,12,13,27,170,185],seriou:[170,215],serv:[5,10,165,203],server:[5,14,78,79,80,82,89,90,91,92,93,214,298,306,307,310],server_ip:93,servic:[2,5,81],session:[1,2,5,81,167,296],set:[1,3,5,7,8,9,10,11,12,13,16,17,20,21,22,23,24,28,38,40,43,50,55,56,64,67,71,72,82,93,113,134,149,157,165,170,172,173,185,187,192,193,197,201,202,203,212,234,235,239,240,242,246,248,251,252,258,259,260,261,262,294,295,296,298,300,311,312,319],set_init_funct:[8,10,21,65,68,70,71,72,212],set_shap:165,seto:[71,72],setup:[8,79,80,93],sever:[0,3,8,12,13,15,17,21,58,59,60,61,80,185,218,238,251,254,261,288,326],sh:80,shall:[10,215],shape:[4,9,10,11,28,165,173,175,177,178,179,180,209,212,216,247,260,274,281],share:[10,214,315],share_bell_pair:214,shell:80,shield:5,shift:[1,2,7,15,29,30,31,51,73,74,75,182,206,240,314,318,320],shift_amount:[27,320],shini:215,ship:[5,18],shop:5,shor:[4,16,18,51,217,314],shors_alg:[25,215],shortcut:10,shorter:[8,18],shortest:15,shorthand:[170,174,177,194,198,199,235,248],shortli:[8,9,17],shot:[1,9,54,56,58,61,78,79,82,86,90,93,97,136,176,197,214,254,299,304],shot_rang:[9,56,58,59,60,61],should:[7,8,9,14,17,23,24,28,32,41,55,58,61,70,76,79,80,82,93,95,120,121,149,166,170,173,176,185,186,187,193,196,197,201,205,225,228,234,236,240,248,279,295,296,298],show:[2,3,8,9,10,11,24,45,68,204,205,212],showcas:[9,10,12,13,17,18,50,206,207,210,211,214,215,216,217,239],shown:[0,9,15,218,326],side:8,sight:3,sigma:[8,15],sigma_:[50,207,239],sign:[14,17,27,50,70,166,181,189,191,193,194,205,210,216,223,233,239,246,260,274,281,289,313,317,321],signal:28,signatur:229,signficantli:8,signif:170,signifcantli:229,signific:[3,17,24,61,165,170,197,215],significantli:[0,7,10,15,18,24,187,215,218,261,295,296,326],silq:[0,218,248,326],similar:[0,7,8,9,10,15,24,27,58,151,164,165,166,176,178,212,216,218,233,251,281,314,315,326],similarli:[10,12,13,212,291],simpl:[0,3,8,10,14,15,17,18,25,77,80,170,215,218,235,295,326],simpli:[1,5,6,8,10,11,15,17,23,93,128,165,170,215,251,296,311,314],simplic:[9,10,215],simplifi:[7,9,14,15,170,296],simul:[0,1,2,4,7,8,9,10,15,17,18,36,46,47,79,80,82,83,93,144,167,170,172,183,187,192,205,210,214,215,217,218,279,281,298,299,304,310,326],simulati:80,simulator_statevector:81,simultan:289,sin:[20,26,158,204,205],sinc:[0,7,8,9,10,12,13,15,16,17,18,21,72,164,165,166,170,187,203,206,212,218,235,248,251,296,309,314,325,326],singl:[1,8,11,14,15,23,29,73,169,170,214,235,242,245,251,292,293,295,299,304,311],singular:[8,212],sit:190,site:5,situat:[1,5,7,169,170,185,235,292],situt:1,size:[7,10,12,13,14,15,17,20,24,28,50,68,69,165,168,188,193,205,206,207,209,212,215,239,246,260,261,263,289,290,292,313,315,325],skill:10,skip:[8,22,170,235,296],sleev:10,slice:[0,17,165,174,177,198,218,326],slightli:[15,251],slim:17,slit:[8,10],slow:[14,295],slowli:9,small:[0,5,8,218,235,248,326],smaller:24,smallest:7,smartphon:5,smirk:215,smooth:5,smoothli:[2,18,164,325],snip:[15,169],snippet:[14,17,18,93,164,170,289,296,325],so:[3,5,7,8,9,10,11,14,15,16,70,97,170,205,215,223,298,301],socket:[78,79,298],socket_ip:[78,88,214,297,298,299,300,302,303,304,305,308],softwar:[0,218,326],sol:[71,72],sol_set:[71,72],sole:5,solid:[0,9,10,16,17,218,326],solut:[0,3,5,7,8,9,10,11,12,13,14,15,17,18,21,24,35,36,51,54,56,61,65,68,70,71,72,77,80,207,212,217,218,289,326],solutin:14,solv:[1,3,9,10,11,12,13,14,16,18,21,24,51,170,212,215,217],solve_qubo:11,some:[0,1,2,3,7,8,9,10,11,12,13,14,15,17,18,21,24,56,93,97,109,144,166,169,170,185,187,190,192,196,202,206,212,214,218,260,263,288,289,291,293,296,300,308,311,325,326],some_function_creating_a_quantum_sess:169,some_librari:93,some_quantum_algorithm:93,some_quantum_funct:164,some_quantum_function_qc:164,someth:[10,16,27],soon:169,sophist:[0,218,296,326],sort:[11,15,65,68,70,71,72,212],sorted_costs_and_solut:11,sourc:[0,3,5,9,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,165,166,167,168,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,218,223,224,225,226,227,229,230,231,232,233,234,235,237,239,241,242,243,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,311,312,313,314,315,316,317,318,319,320,321,322,323,324,326],space:[3,8,11,12,13,15,16,24,28,32,76,77,185],span:8,spare:7,spark:[0,218,326],spars:[3,18,251],speak:203,special:[5,7,8,10,16,17,296],specif:[0,1,2,3,5,8,9,10,12,13,21,23,24,32,55,63,64,76,80,90,93,123,166,170,185,212,218,229,260,261,274,288,326],specifi:[3,7,8,9,10,11,15,17,21,23,24,25,27,28,32,36,38,44,50,52,56,58,61,63,76,79,80,82,96,101,109,112,134,165,166,167,168,169,171,174,176,180,183,185,187,189,191,196,197,199,201,204,206,212,223,225,229,235,239,240,248,251,252,253,261,263,294,296,303,305,313,314,315,321,323,325],specifii:[82,205,212],spectrum:10,speed:[0,2,3,7,9,24,112,185,218,225,261,295,326],speedrun:10,speedup:17,splash:[12,13],split:[8,11],spoil:10,spoiler:9,spukhaft:305,spy:25,sqrt:[7,8,12,13,14,17,18,20,26,38,50,187,189,199,207,216,223,239,281,289,304,311,313,320],sqrt_oracl:17,squar:[14,17,242,294,295],st:196,stabil:5,stack:[0,202,218,296,326],stage:[0,7,16,185,218,326],stai:[4,7,8,70,170],stand:[12,13,14,25,170,261],standalon:204,standard:[0,5,10,28,50,56,207,218,239,326],start:[6,8,9,10,14,16,17,18,24,39,44,70,79,80,93,214,215,297,298,299,300,302,303,304,305,308],start_tim:[212,295],starting_d:325,state:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,28,29,31,32,37,38,42,43,50,51,55,64,68,69,71,72,73,75,76,77,97,102,128,130,135,166,170,172,173,174,177,178,185,187,189,191,192,193,194,197,198,199,201,205,206,207,212,214,215,216,218,223,238,239,240,250,251,252,256,260,281,289,291,304,320,322,326],state_d:199,state_funct:[20,26,238],statement:[11,17,80,289,296,311],statevector:[2,3,7,8,17,18,24,26,38,40,43,45,50,144,204,205,207,216,239,251,281,289,311,313,320],statevector_arrai:[204,251],statist:[9,61],statu:[5,170],statutori:5,stdlib:134,steadili:7,step:[0,2,3,8,9,10,14,15,16,17,35,38,41,42,80,93,170,212,214,218,248,292,314,326],stick:212,still:[0,3,5,7,8,9,14,15,17,24,185,215,218,251,256,261,324,325,326],stimul:16,stochast:1,stock:8,stop:[5,12,13],store:[5,18,131,168,170,203,233,242,253,260,271,272,273,274,304,313],stori:215,str:[56,58,60,79,81,82,90,98,102,110,130,151,187,214,242,249,250,251,252,256,259,260,274,291,297,298,299,302,305,308],straight:67,straightforward:[1,9],straightfowrad:212,strategi:[7,15],streamlin:[1,15,18],strength:8,strictli:5,string:[0,9,10,23,28,47,49,57,59,61,63,70,78,79,81,82,93,94,96,97,98,122,123,130,134,152,153,181,187,188,190,193,197,212,218,235,293,300,304,305,315,326],strong:[17,18],stronger:1,strongli:14,structur:[1,4,5,7,10,12,13,16,18,21,24,55,82,169,170,203,212,215,216,224,254,261,290],stuart:[12,13],stumbl:215,style:10,stylist:2,su:290,sub:[3,261,296],subclass:[165,203,313,325],subcollect:[71,72],subgraph:[8,9,12,13,21],submit:[300,304],submodul:[51,169],subroutin:[14,15,17],subs_dic:[97,101,109,176,197],subs_dict:204,subscript:5,subsequ:[7,8,14,17,21,24,93,97,109,170,214,324],subset:[68,69,71,72,212],subspac:[8,24,40],subspace_optim:24,substitut:[2,70,97,109,176,197,204],subtract:[273,313,314],subtre:24,subtyp:[176,314],success:[15,242],successful:[170,192],successfulli:[10,21,170,212],successor:15,suffic:8,suffici:[0,14,35,218,326],suggest:9,suit:[8,56,190,203,242,258,262,271,272,273],suitabl:[5,7,45,209,215],sum:[8,9,10,11,14,15,20,187,206,212,289],sum_:[7,8,9,11,14,15,38,50,166,170,189,198,207,210,216,223,239,281,289],sum_z:[12,13],summand:[271,304],summand_1_qf:[271,273],summand_2_qf:[271,273],summar:[9,14,17,24],summat:7,superposit:[8,9,10,12,13,14,16,17,20,26,27,170,177,190,197,198,205,206,207,216,223,246,281,289,294,311,319],supervisori:5,suppli:[2,15,50,94,98,130,157,166,185,239,291],support:[0,3,24,32,50,76,80,93,102,165,170,174,181,194,207,218,239,242,261,304,310,313,314,320,324,326],suppos:[28,170,185,188,191,263,291,324],suppress:8,sure:[8,14,55,61,170,296],surpress:194,surpris:15,sv:187,sv_function:[187,205],sv_phase_arrai:205,swap:[8,11,15,22,28,71,72,206,229,292],swap_to_front:[15,206],swapax:165,sx:[147,157,277],sym:11,symbol:[2,9,18,29,30,31,33,62,73,74,75,97,101,109,116,125,126,133,137,138,139,140,141,158,161,176,187,197,204,226,227,237,240,250,255,264,265,266,267,268,282,285],symmetr:11,sympi:[9,14,17,29,30,31,33,42,62,73,74,75,97,101,109,116,125,126,133,137,138,139,140,141,158,161,176,187,197,204,226,227,237,240,250,255,264,265,266,267,268,282,285,321],syntact:221,syntax:[0,16,17,122,123,205,218,223,261,326],synth_method:[166,181],synthed_op:96,synthes:[7,17,96,102,110,125,130,157,205,206,223,251],synthesi:[0,2,3,7,149,166,181,189,203,218,251,252,279,326],system:[0,5,7,9,18,80,134,215,218,326],systemat:14,t:[3,8,9,10,11,12,13,14,15,16,24,35,65,70,80,97,115,124,149,150,170,182,185,205,206,215,223,251,261,279,280,288,296,300,304,312,318],t_depth:[3,7,215,251,261],t_depth_ind:[7,185,215,261],t_depth_reduct:261,tabl:[9,12,13,212],tablet:5,tackl:[9,10,12,13,15,16,17,21],tag:[17,20,26,50,170,207,239,240],tag_dic:[50,239,240],tag_specif:240,tag_stat:[50,207,239],tage:5,tailor:[10,12,13],take:[2,3,7,9,10,12,14,15,16,17,21,24,32,39,67,68,69,70,71,72,76,80,95,120,185,186,205,212,215,223,260,274,290,295],taken:[0,12,13,24,218,295,326],tar:20,target:[7,20,23,51,78,80,110,117,118,119,130,170,185,230,231,232,242,251,263,288,294],target_qubit:[110,130,216,281],task:[0,2,10,14,15,18,25,203,218,288,326],tax:5,td:15,tdepth:149,tdg:7,teach:[8,14],team:[12,13,212],technic:[5,18,313,321,325],techniqu:[7,8,10,12,13,16,21,185,251,292,296,314],technolog:[0,218,326],tediou:[0,170,218,326],telamon:214,telephon:5,teleport:[7,217],teleport_qubit:214,teleported_qubit:214,tell:[7,10,15,17,185,187,192,261],temp:[9,71,168,212,295],temp_1:168,temp_2:168,temp_3:168,temp_op:169,temp_qbool:17,temp_qf:[15,206,289],temp_qv:289,temporari:[7,17,170,251,289],temporarili:[5,24,169,202,251],tend:9,tensor:[8,187,203,216,223,313],tensordot:216,tent:[7,251],term:[0,5,7,10,15,32,56,76,170,215,218,261,326],termin:[5,210],terminal_op:242,test:[0,8,9,10,11,14,15,17,32,50,76,185,207,215,218,229,239,245,249,257,310,326],test_client2:80,test_client3:80,test_client4:80,test_client5:80,test_client6:80,test_client7:80,test_client:80,test_itinerari:15,test_oracl:[50,239,240],testament:[14,25],testcostfun:[71,72],text:[5,7,8,11,14,15,17,18,20,23,24,35,50,56,67,149,166,170,187,189,197,198,205,207,212,215,223,239,247,279,289,290,304,313,314],textbook:14,textcolor:18,textgrai:18,texttt:18,th:[10,11,14,15,17,28,70,149,165,189,212],than:[0,3,5,7,8,9,10,14,15,18,24,35,170,187,192,215,218,242,250,289,292,294,326],thank:13,thapliy:259,thebe:[2,11,14],thei:[0,3,5,7,8,9,10,12,13,17,18,24,32,71,72,76,96,126,165,170,187,207,215,218,248,251,261,296,300,304,311,326],them:[2,3,5,9,12,13,15,17,24,61,70,95,97,109,164,167,168,169,170,174,187,194,213,315],themselv:[8,167,296],theniceqaoa:[68,70,212],theoret:[8,9,13,14,21,207],theori:[8,11,16],therebi:7,therefor:[7,8,9,10,14,15,17,20,21,24,26,65,149,166,169,170,210,251,292,295,296],theta:[9,20,158,204,282],theta_a:26,thi:[0,1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,30,31,32,38,39,43,45,50,51,54,55,56,61,65,67,70,71,72,74,75,76,77,78,79,81,82,83,93,94,95,96,97,98,102,105,109,112,113,120,121,124,125,134,135,144,149,153,164,165,166,167,168,169,170,171,172,173,174,175,177,178,181,182,183,184,185,186,187,188,189,190,191,192,194,195,196,197,198,199,202,203,204,205,206,207,209,210,211,212,214,215,216,217,218,221,223,225,228,229,234,235,236,237,239,240,242,245,246,247,248,249,251,252,254,256,260,261,263,279,288,289,290,291,292,293,294,295,296,297,298,299,300,301,304,309,310,313,314,315,318,320,321,322,326],thing:[7,9,10,17,21],think:[0,10,16,215,218,251,326],third:[5,7,70,164,185,282],third_party_qiskit_modul:164,thorough:9,those:[5,12,13,15,288],though:[0,7,15,24,61,170,206,218,242,251,326],thought:[0,17,215,218,326],thread:[82,298],three:[21,67,170,185,187,254,290],threshold:[15,206,289],thrift:93,throttl:7,through:[1,5,7,8,9,10,11,15,16,80,81,83,165,166,168,185,205],throughout:7,thu:[0,7,8,15,192,218,223,320,326],thumb:144,tightli:18,tild:[8,14,20,24],time:[1,3,5,7,8,9,10,11,12,13,14,15,16,23,54,56,93,102,120,125,165,169,170,185,186,212,214,235,242,248,251,254,295],timedelta:325,titl:[5,10,203,217],tl:5,tn:35,to_gat:[96,97,108,153,164,235],to_op:[96,151,169],to_qiskit:[1,17],todai:[0,218,325,326],todo:[14,212],toffoli:[110,170,206,215,251],togeth:[0,2,9,11,12,13,15,17,96,170,206,218,251,326],token:[78,79,81,82,85,90,93],toler:[3,14,16,149,170,215,251],tolerantli:[256,257],tomorrow:325,too:[11,165,170,203,256,299],took:[24,56],tool:[7,9,12,13,14,17,80,203,215,288],top:[8,9],topolog:[3,9],total:[9,70,185],total_count:10,toward:[0,7,218,326],toy_gate_spe:7,tqa:[9,61,63],tqafo:9,tqx:11,trace:11,track:[5,9,214],trade:5,trademark:5,train:65,train_circuit:65,train_funct:[3,21],training_func:65,transact:5,transfer:[0,1,214,218,310,326],transform:[7,14,15,17,25,51,102,113,189,205,214,223,242,292],transit:[9,10,12,13,21,29,31,73,75,164],translat:11,translation_d:121,transmit:5,transpil:[7,95,120,186,197,229,235,290],transpilation_kwarg:197,transpilation_level:157,transport:5,transpos:209,trap:292,travel:[16,18,51,206,217],travers:[24,250,251],treat:[0,2,15,170,218,288,311,326],treat_overflow:246,treatment:55,tree:[36,37,38,39,40,42,43,44,45,261],treshold:261,tri:[10,17,23,28,102,105,151,168,175,176,177,178,181,182,184,192,194,198,199,206,247,249,254,256,260,261,263,274,283,289,317,318,320,322,323],triangular:11,trick:[7,10],tricki:14,trigger:187,trip:[15,206],trip_dist:[15,206],triple_and:[170,185],triu:11,trivial:[2,3,14,17,18,24,36,44,113,165,167,169,170,185,295],trojan:5,trotter:8,trust:10,truth:[251,289,291,311],tsp:[1,16,24,51,217],tt:56,tune:[4,7,8],tupl:[15,70,71,72,166,176,178,180,254,281,302],tuple_list:178,turn:[14,15,96,97,151,164,167,169,170,171,175,189,191,195,205,223,237,261,263,294,317],tutor:12,tutori:[2,3,6,7,8,9,10,11,12,13,14,15,17,18,21,25,32,55,76,80,206,212,215,217],tweek:[15,206],twice:[2,15],two:[3,5,7,8,9,10,12,13,14,15,17,18,23,24,31,44,50,56,66,75,80,95,100,113,121,167,168,169,170,185,194,202,203,211,214,215,228,233,234,235,236,239,240,242,251,260,261,263,271,272,273,274,289,305,314],txt:80,type:[0,2,3,5,10,11,12,13,14,16,17,18,19,21,61,80,126,128,134,165,166,168,171,181,187,191,193,197,199,203,212,218,259,311,326],u3:159,u:[5,10,12,13,14,15,17,23,50,170,197,207,239,290,312],u_1:14,u_:[7,8,14,15,166,170,189,198],u_c:11,u_f:8,u_m:[12,13],u_p:[9,12,13],u_x:14,un:170,unaffect:170,unalloc:192,unauthor:5,unchang:[170,192],unclear:7,uncom:9,uncompiled_gidney_mcx:251,uncompiled_gidney_mcx_inv:251,uncompiled_jones_toffoli:251,uncomput:[1,3,7,15,17,18,24,50,71,72,102,166,167,185,192,206,207,235,239,242,248,251,256,258,260,261,263,288,289,290,294,295,296,311],unconstrain:[11,68,69,212],uncostrain:3,uncov:[0,218,326],undefin:10,undefined_label_6:190,undefined_label_7:190,under:[1,3,5,7,8,10,12,13,14,24,38,40,93,129,215],undergo:[7,296],underli:[3,15,176,197,221,288],understand:[0,7,8,9,10,11,14,15,16,17,51,170,187,217,218,251,326],understood:8,undertaken:4,undu:5,unequ:24,unfit:[247,274],unfortun:[15,80],uniform:[0,3,15,17,170,190,205,206,216,218,223,281,294,311,319,326],unintent:1,unintet:1,union:72,uniqu:[0,9,10,12,13,14,168,185,188,193,218,251,326],unit:[3,7,185],unitari:[3,8,9,11,12,13,17,20,21,23,26,51,102,104,105,113,125,151,158,170,204,216,235,251,281,290],unitary_arrai:159,univers:[35,71,72],unknown:[149,195],unlaw:5,unless:[5,168],unlik:15,unlock:[1,249,257],unobstruct:5,unreach:1,unseen:[0,218,326],unsigend:165,unsign:[17,313,317,320,322],unspecifi:[176,197],unstructur:[17,24,51],unsubscrib:5,unsur:[42,235,248],until:[0,7,9,12,13,169,170,218,326],unveil:1,unwieldi:289,up:[0,2,3,5,7,8,10,11,14,16,17,20,24,28,38,40,56,80,82,149,170,187,192,215,218,235,258,259,279,289,295,296,298,300,313,319,326],upcom:10,updat:[1,2,3,9,16,188,214,304],upgrad:[4,12,13],upon:[215,296],upper:11,us:[0,1,2,3,5,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,28,29,31,46,47,48,49,50,51,56,59,61,66,70,73,75,79,81,82,83,90,93,95,96,97,102,109,112,113,126,134,149,153,157,164,165,166,167,168,169,170,174,181,184,185,187,189,192,196,199,202,203,204,205,206,207,210,212,214,215,216,217,218,223,225,229,235,239,248,249,251,252,254,256,259,261,281,288,289,290,291,292,293,294,295,296,297,298,299,310,311,312,313,314,322,325,326],usa:5,usag:[5,24,51,166,289,314],use_gm:[22,292],use_iter_env:295,useful:[8,242,296],user:[0,3,14,17,24,32,56,58,76,164,167,169,185,218,245,249,256,296,297,299,314,326],usual:[7,8,11,170,185],util:[3,5,8,10,18,25,80,93,185,197,203,209,211,215,217,288],utilizi:215,utmost:215,v:[5,17,18,68,69,170,212,290,312],v_f:8,val:[65,68,70,71,72],valid:[3,8,108,113,134,212],valu:[0,1,3,7,9,10,11,12,13,14,15,17,20,21,24,27,28,29,30,31,32,56,70,71,72,73,74,75,76,90,93,101,109,121,165,166,170,171,173,174,181,182,187,190,191,194,195,197,199,201,205,206,212,218,223,228,234,236,240,247,251,261,263,289,291,304,311,313,316,318,319,320,322,323,324,325,326],value_qv:[166,181],vanish:3,vari:[8,9,15,259],variabl:[7,8,10,11,15,17,18,20,24,26,29,30,31,39,63,65,67,70,72,73,74,75,166,167,168,169,170,181,188,197,202,205,212,215,223,263,289,294],varianc:9,variat:[7,12,13,21],varieti:[2,3,7,8,14,18,21,51,61,185,296],variou:[2,9,11,12,21,217],vast:[0,218,326],vat:5,ve:[4,9,10,13,16,215],vector:[8,209,217,233,247],vendor:3,veri:[0,2,7,8,24,97,120,164,170,186,215,218,229,251,326],verif:[3,201,248],verifi:[3,7,8,14,15,17,170,172,185,192,201,235,238,240,244,248,261,294],vers:40,versatil:1,version:[3,5,6,7,8,11,12,13,14,17,24,36,38,50,80,102,170,182,185,206,215,217,229,239,248,250,261,292,294,314,317,318],vertex:212,vertic:[68,69,71,72,212],via:[0,3,5,8,10,17,32,76,80,93,203,214,218,251,254,296,310,314,326],viabl:10,vibrant:10,vice:40,video:5,view:[5,14],violet:10,virtual:[9,82],virtual_backend_inst:82,virtualbackend:[0,3,81,83,218,326],virtualqiskitbackend:[17,82,167,183],virus:5,vision:7,visit:[5,6,7,15,17,24,35,45,314],visual:[9,21,24,45,61,97,167,187,205,224],visualis:[3,235,293,296],visualize_statevector:24,voila:9,volum:[9,56],voyag:212,vpn_test_exampl:80,vqe:15,vr:5,vrtl_qasm_sim:[93,183],vs:[7,18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0.1","Qrisp 0.2","Qrisp 0.3","Qrisp 0.4","Changelog","Imprint","Setup","Fault-Tolerant compilation","Channelled Constrained Mixers","MaxCut QAOA Implementation","Max-$\\kappa$-Colorable Subgraph QAOA Implementation","QUBO as a QAOAProblem Problem Instance","Theoretical Overview","QAOA implementation and QAOAProblem","Shor\u2019s Algorithm","Solving the Traveling Salesman Problem (TSP)","Tutorial","Getting familiar with Qrisp","Key Features","HHL","Quantum Amplitude Estimation","Quantum Approximate Optimization Algorithm","Quantum Fourier Transformation","Quantum Phase Estimation","Quantum Backtracking","Shor\u2019s algorithm","Quantum Amplitude Amplification","Iterable Shifting","Iterable 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Networks","QuantumBool","QuantumChar","QuantumFloat","QuantumModulus","QuantumString","qrisp.QuantumBool.flip","qrisp.QuantumFloat.add_sign","qrisp.QuantumFloat.exp_shift","qrisp.QuantumFloat.get_ev","qrisp.QuantumFloat.quantum_bit_shift","qrisp.QuantumFloat.sb_poly","qrisp.QuantumFloat.sign","qrisp.QuantumFloat.significant","qrisp.QuantumFloat.truncate","Quantum Types","Reference"],titleterms:{"0":[0,1,2,3],"1":0,"2":1,"21":5,"3":2,"4":3,"abstract":[1,204],"function":[67,68,69,70,71,72,205,219,288],"new":215,A:215,In:[209,221],The:14,To:170,__init__:[84,85,88,183,188],add_clbit:106,add_qubit:107,add_sign:317,adder:[7,215,221],addit:7,algorithm:[2,3,7,14,17,21,25,50,51,207,215],all:15,altern:[12,13],amend:5,amplif:26,amplitud:[20,26],analysi:212,ansatz:[12,13],app_phase_funct:189,append:108,applic:[5,97,205,219],approxim:[2,21],argument:205,arithmet:[3,221],art:5,as_hamiltonian:223,backend:[80,93],backendcli:[78,85,86,88,89,90,93],backendserv:[79,80,87,91,92,93],backtrack:[1,2,24],barrier:224,base:7,behind:[8,18],benchmark:[9,15,61],bind_paramet:[101,109],bug:[1,2,3],build:80,call:170,ccx:110,changelog:4,channel:8,circuit:[1,80,164],classic:[67,68,69,70,71,72],clbit:94,clearcopi:111,cnot_count:184,cnot_depth:112,cnot_depth_ind:225,code:18,collect:21,color:[10,212],compare_unitari:113,compil:[3,7,185],compile_circuit:62,conclus:[0,218,326],conditionenviron:289,config:80,conjugationenviron:[1,290],constrain:8,constrained_mixer_gen:[32,76],constraint:8,construct:[17,97,164],contact:5,contain:80,control:[5,102],controlenviron:291,convers:1,cooki:5,copi:[34,99,103,114],core:203,corpor:5,cost:[67,68,69,70,71,72],count:[77,168],count_op:115,cp:[116,226],creat:[15,17,66,80,325],cryptographi:25,crz:227,cs:10,cuccaro_add:228,custom:[190,325],custom_control:229,cx:[117,230],cy:[118,231],cz:[119,232],data:5,de:[165,168],decod:[171,191],decrypt:215,definit:212,delet:[172,192],demux:28,depth:[120,186],descript:[67,68,69,70,71,72],diagon:205,diffus:238,distanc:15,dive:18,divis:213,docker:[80,93],dockerbackend:80,dockersim:80,document:2,dot:233,duplic:[173,193],effici:206,email:5,encod:[165,168,174,175,194,195],encrypt:215,enough:9,environ:296,equat:17,estim:[17,20,23],estimate_phas:35,ethrtwolin:67,evalu:[7,15,24,56,97],exact:207,exampl:[68,70,71,72,205,217],execut:80,exp_shift:[182,318],explor:215,extend:[121,168,196],factor:215,familiar:17,fault:7,featur:[1,2,3,18],find_solut:36,first:9,fix:[1,2,3],flip:316,fourier:22,fourier_add:234,framework:[0,2,218,326],from:[10,11],from_qasm_fil:122,from_qasm_str:123,from_qiskit:124,full:[68,70,71,72],gate:[7,170,219],gate_wrap:235,gatewrapenviron:293,gdp:5,gener:14,get:17,get_clear_qc:300,get_ev:319,get_measur:[176,197],get_overall_qc:301,get_unitari:[104,125],gidney_add:236,gmsenviron:292,gphase:[126,237],graph:66,grover:[17,50,207,220,238,239,240],grover_mix:33,grovers_alg:239,h:[127,241],hamiltonian:205,hello:208,helper:[70,71,72],hhl:19,histori:4,how:[80,170],hybrid_mult:242,id:[128,243],idea:14,imag:80,implement:[9,10,13,14,21,67,68,69,70,71,72,212],imprint:5,improv:7,inbox:302,inform:5,init_from:[177,198],init_nod:37,init_phi:38,init_st:[178,199],inpl_add:244,inpl_adder_test:245,inpl_mult:246,inplace_matrix_app:247,instanc:[11,21,212],instanci:212,instruct:[95,99,100],interfac:[2,3,84,85,86,87,88,89,90,91,92,93,97],introduct:[218,326],intuit:8,invers:[105,129],inversionenviron:294,iter:[27,28,52],iterationenviron:[1,295],kappa:[10,212],kei:18,layer:9,lift:248,list:5,load:[57,181],lock:249,loop:210,m:10,matrix:[209,211],max:[10,212],maxcliqu:68,maxcut:[9,212],maxindependentset:[69,212],maxsat:70,maxsetpack:71,mcp:250,mcx:[130,251],mcz:252,measur:[131,253],meet:10,merg:[100,169,203],method:[24,54,55,78,79,82,95,96,97,165,166,167,168,297,298,299,311,313],minor:[1,2,3],minsetcov:72,miscellan:[24,168,288],mixer:[8,21],mod:213,modul:[1,2],modular:3,mono:8,most_lik:[179,200],motiv:[9,10],multi:8,multi_measur:254,multipl:[205,209,211],name:5,network:[3,310],networkx:66,newslett:5,num_qubit:132,number:215,nutshel:[12,13],object:5,offic:5,oper:[12,13,24,67,68,69,70,71,72,96,97,101,102,103,104,105],optim:[2,3,21],option:82,oracl:[15,17],other:5,overview:[0,12,218,326],own:80,p:[133,255],paramet:[1,204],path_decod:39,perform:[7,9,15],perm_lock:256,perm_unlock:257,permeabl:170,permut:52,person:5,phase:[17,23],physic:8,ping:89,place:[209,221],prefix:221,primit:3,problem:[11,15,21,67,68,69,70,71,72,212,215],process:[5,221],protect:5,purpos:5,pursuant:5,q_div:258,q_divmod:259,q_matmul:260,qaoa:[2,8,9,10,11,12,13,29,30,31,32,33,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,212],qaoabenchmark:[21,54,56,57,58,59,60],qaoaproblem:[9,10,11,13,21,55,61,62,63,64,65],qasm:134,qc:216,qcla:261,qf_invers:262,qft:7,qiskitruntimebackend:81,qrisp:[0,1,2,3,17,18,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,56,57,58,59,60,61,62,63,64,65,73,74,75,76,84,85,86,87,88,89,90,91,92,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,300,301,302,303,304,305,306,307,308,309,316,317,318,319,320,321,322,323,324],qstep_diffus:40,quadrat:17,quantum:[1,2,17,20,21,22,23,24,26,77,213,214,296,310,325],quantum_backtrack:[34,35,36,37,38,39,40,41,42,43,44,45],quantum_bit_shift:320,quantum_network:[300,301,302,303,304,305,306,307,308,309],quantum_step:41,quantumarrai:[165,171,172,173,174,175,176,177,178,179,180,203,221],quantumbacktrackingtre:[34,35,36,37,38,39,40,41,42,43,44,45],quantumbool:[311,316],quantumchar:312,quantumcircuit:[97,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163],quantumcolor:10,quantumdictionari:[166,181,203],quantumfloat:[182,205,221,313,317,318,319,320,321,322,323,324],quantummodulu:314,quantumnetworkcli:[297,300,301,302,303,304,305],quantumnetworkserv:[298,306,307],quantumnetworksess:[299,308,309],quantumsess:[167,183,184,185,186,187,203],quantumstr:315,quantumvari:[10,17,168,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203],qubit:[98,168],qubo:[3,11],qunicorn:[85,86,87],random:66,rank:58,recomput:170,redirect_qfunct:263,reduc:[168,201],refer:326,repo:80,request_qubit:303,reset:135,result:212,right:5,rout:15,rsa_decrypt:46,rsa_decrypt_str:47,rsa_encrypt:48,rsa_encrypt_str:49,run:[63,80,86,90,136,304],rx:[137,264],rx_mixer:[29,73],rxx:[138,265],ry:[139,266],rz:[140,267],rz_mixer:[30,74],rzz:[141,268],s:[3,7,14,17,25,50,142,207,215,269],s_dg:[143,270],said:9,salesman:15,save:59,sb_poli:321,sbp_add:271,sbp_mult:272,sbp_sub:273,scope:5,secur:5,select:7,semi_classic_matmul:274,send_qubit:305,send_qv:308,session:[169,203],set:15,set_init_funct:64,set_shap:180,setup:6,shift:27,shor:[3,7,14,25,46,47,48,49,215],sign:322,signific:323,simul:[3,216],solut:206,solv:[15,17],start:[87,91,306],state:[165,168],statevector:[42,187],statevector_arrai:144,statevector_graph:43,stop:[92,307],structur:[0,218,326],subgraph:[10,212],subject:5,subscrib:5,subtre:44,suit:7,summari:[9,10],superposit:15,swap:[145,275],sx:[146,276],sx_dg:[147,277],synthes:170,t:[7,148,278],t_depth:149,t_depth_ind:279,t_dg:[150,280],tag_stat:240,tale:215,teleport:214,tensordot:281,theoret:12,thi:[5,80],thrift_interfac:[88,89,90,91,92],timeli:5,to_gat:151,to_latex:152,to_op:153,to_pennylan:154,to_pytket:155,to_qiskit:156,toffoli:7,toler:7,tool:[25,220],train_funct:65,transfer:5,transform:22,transpil:157,travel:15,tree:24,truncat:324,tsp:[15,206],tutori:16,type:325,u3:[158,282],uncomput:[170,202,203],unitari:159,unlock:283,unqomp:170,up:15,updat:309,upgrad:[2,3],us:17,util:222,variou:212,veri:9,version:4,virtualbackend:[82,84,93],virtualqiskitbackend:[83,93],visual:60,visualize_statevector:45,when:5,who:18,why:170,world:208,x:[160,284],xxyi:[161,285],xy_mix:[31,75],y:[162,286],your:[5,9,80],youtub:5,z:[163,287]}})
\ No newline at end of file
diff --git a/setup.cfg b/setup.cfg
index f5b00b09..51976fad 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -1,6 +1,6 @@
 [metadata]
 name = qrisp
-version = 0.4
+version = 0.4.1
 author = Raphael Seidel
 author_email = raphael.seidel@fokus.fraunhofer.de
 description = A high-level quantum programming language
diff --git a/src/qrisp/arithmetic/adders/qcla/__init__.py b/src/qrisp/arithmetic/adders/qcla/__init__.py
index dd3741ac..4b23375e 100644
--- a/src/qrisp/arithmetic/adders/qcla/__init__.py
+++ b/src/qrisp/arithmetic/adders/qcla/__init__.py
@@ -17,11 +17,7 @@
 """
 
 
-from qrisp.arithmetic.adders.qcla.quantum_quantum.qq_carry_path import *
-from qrisp.arithmetic.adders.qcla.quantum_quantum.qq_sum_path import *
-from qrisp.arithmetic.adders.qcla.quantum_quantum.qq_qcla_adder import *
+from qrisp.arithmetic.adders.qcla.quantum_quantum import *
+from qrisp.arithmetic.adders.qcla.classical_quantum import *
 
-from qrisp.arithmetic.adders.qcla.classical_quantum.cq_carry_path import *
-from qrisp.arithmetic.adders.qcla.classical_quantum.cq_sum_path import *
-from qrisp.arithmetic.adders.qcla.classical_quantum.cq_qcla_adder import *
 from qrisp.arithmetic.adders.qcla.wrapper_function import qcla
diff --git a/src/qrisp/arithmetic/adders/qcla/classical_quantum/__init__.py b/src/qrisp/arithmetic/adders/qcla/classical_quantum/__init__.py
new file mode 100644
index 00000000..25214c9f
--- /dev/null
+++ b/src/qrisp/arithmetic/adders/qcla/classical_quantum/__init__.py
@@ -0,0 +1,22 @@
+"""
+\********************************************************************************
+* Copyright (c) 2023 the Qrisp authors
+*
+* This program and the accompanying materials are made available under the
+* terms of the Eclipse Public License 2.0 which is available at
+* http://www.eclipse.org/legal/epl-2.0.
+*
+* This Source Code may also be made available under the following Secondary
+* Licenses when the conditions for such availability set forth in the Eclipse
+* Public License, v. 2.0 are satisfied: GNU General Public License, version 2
+* with the GNU Classpath Exception which is
+* available at https://www.gnu.org/software/classpath/license.html.
+*
+* SPDX-License-Identifier: EPL-2.0 OR GPL-2.0 WITH Classpath-exception-2.0
+********************************************************************************/
+"""
+
+from qrisp.arithmetic.adders.qcla.classical_quantum.cq_carry_path import *
+from qrisp.arithmetic.adders.qcla.classical_quantum.cq_sum_path import *
+from qrisp.arithmetic.adders.qcla.classical_quantum.cq_qcla_adder import *
+
diff --git a/src/qrisp/arithmetic/adders/qcla/quantum_quantum/__init__.py b/src/qrisp/arithmetic/adders/qcla/quantum_quantum/__init__.py
new file mode 100644
index 00000000..babe37df
--- /dev/null
+++ b/src/qrisp/arithmetic/adders/qcla/quantum_quantum/__init__.py
@@ -0,0 +1,22 @@
+"""
+\********************************************************************************
+* Copyright (c) 2023 the Qrisp authors
+*
+* This program and the accompanying materials are made available under the
+* terms of the Eclipse Public License 2.0 which is available at
+* http://www.eclipse.org/legal/epl-2.0.
+*
+* This Source Code may also be made available under the following Secondary
+* Licenses when the conditions for such availability set forth in the Eclipse
+* Public License, v. 2.0 are satisfied: GNU General Public License, version 2
+* with the GNU Classpath Exception which is
+* available at https://www.gnu.org/software/classpath/license.html.
+*
+* SPDX-License-Identifier: EPL-2.0 OR GPL-2.0 WITH Classpath-exception-2.0
+********************************************************************************/
+"""
+
+
+from qrisp.arithmetic.adders.qcla.quantum_quantum.qq_carry_path import *
+from qrisp.arithmetic.adders.qcla.quantum_quantum.qq_sum_path import *
+from qrisp.arithmetic.adders.qcla.quantum_quantum.qq_qcla_adder import *
\ No newline at end of file