- Von Neumann entropy and entaglemment
- Simple two-level model to illustrate avoided crossing and entanglement
- time evolution with electric fields/other mechanisms (raising/lowering of wells)
- state tomography and relation to density matrix (experimental interpretation)
- developing a specific analog-digital quantum simulator with two-qubits (operations on qubits)
- MHJ's code
- Yoshida and Shimuzu https://arxiv.org/abs/2105.08256
- Set up mtx elements (one-body and twobody) in uncoupled basis for 2d quantum (3d and 1d systems).
- Øyvind's 3 and 4 particle code
- Veronika's master thesis, FCI for quantum dots
- Simen Kvaal's FCI code https://arxiv.org/abs/0810.2644
- Effective interaction for many particles and FCI
- Time development
- Adiabatic(?) switching on/off of Coulumb interaction
- DVR basis
- Is the basis 'the same' after and under a perturbation?
- Suggestions for circuits with given gates, how to make fields that perform different operations
- Model hamiltonians and observables
- Lowering and raising of wells and gates
- Setting up electric fields/laser with time evolution/dipole approx
- 1d systems with two and more particle
- 2d systems with two electrons in two wells
- 3d system with two electrons in two wells
- Move to three electrons (qd) and four electrons
- Academic exercise: ground state evolution with time-dependence