diff --git a/poetry.lock b/poetry.lock
index b1e881f..70693aa 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,4 @@
-# This file is automatically @generated by Poetry 1.8.3 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.7.1 and should not be changed by hand.
 
 [[package]]
 name = "accessible-pygments"
@@ -3766,6 +3766,61 @@ csp-layout-pass = ["python-constraint (>=1.4)"]
 qasm3-import = ["qiskit-qasm3-import (>=0.1.0)"]
 visualization = ["Pillow (>=4.2.1)", "matplotlib (>=3.3)", "pydot", "pylatexenc (>=1.4)", "seaborn (>=0.9.0)"]
 
+[[package]]
+name = "qiskit-aer"
+version = "0.16.0"
+description = "Aer - High performance simulators for Qiskit"
+optional = false
+python-versions = ">=3.7"
+files = [
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+    {file = "qiskit_aer-0.16.0-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:b921c447c4b6f636564a04040193b51e7a02154b05993e4923e1fade43b2567c"},
+    {file = "qiskit_aer-0.16.0-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:58a6ad63b0c9089f43ebf6ffd9ca1ae192f43917f4db30c440fb1d5019495728"},
+    {file = "qiskit_aer-0.16.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:0f69ecd2b395cdc2cee71f61cc8e33c20d941e37523c03b03b51ab71249a9b17"},
+    {file = "qiskit_aer-0.16.0-cp310-cp310-manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:e1cd065f20103268dcd61cd96cdc501c6d6b53167b28a96ff6d076fd49ad3b12"},
+    {file = "qiskit_aer-0.16.0-cp310-cp310-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:bd540c47f10d13b03f54003344aa55cc350ea5901780282f85dc01fc3131df39"},
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+    {file = "qiskit_aer-0.16.0-cp310-cp310-win_amd64.whl", hash = "sha256:a84c2f8b41c8fa950f218fa154abdc02565cfa589f8a748fd6f99e0d08a9fde5"},
+    {file = "qiskit_aer-0.16.0-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:7dc397ced28ed7a245232746ad740fba8c157728d2543dbc54f302ff33c951e2"},
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+    {file = "qiskit_aer-0.16.0-cp311-cp311-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:3d4be301e9252d8dce421e0a958e5dec254096564f967f3a93f7311ee9c311e1"},
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+    {file = "qiskit_aer-0.16.0-cp311-cp311-win_amd64.whl", hash = "sha256:4b8b4e71b72ed3a5bf2017e0747138e6b4af63dffcb0e4adc07a15070d5004d8"},
+    {file = "qiskit_aer-0.16.0-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:9215cbbf23131ef7e3b351e4d60b173a1692488e64c931f5c1263c021670bdb0"},
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+    {file = "qiskit_aer-0.16.0-cp312-cp312-manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:45f8f39ee4ba05d28c52f852ca5fc7d4e4df175a2062081844f11866d55995e0"},
+    {file = "qiskit_aer-0.16.0-cp312-cp312-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:60dcae3da0dbb158ff65438467c17bd5b71933c3a778c758b96614e43af5b4b6"},
+    {file = "qiskit_aer-0.16.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:cc5af1729837a3ec6a72e3bda2ca3db199dfa96a42aebeafce4566d2d9a69e1d"},
+    {file = "qiskit_aer-0.16.0-cp312-cp312-win32.whl", hash = "sha256:74020573abb393dd7ab2a82776ccf784075e9010d18cf061a8431076848b4b02"},
+    {file = "qiskit_aer-0.16.0-cp312-cp312-win_amd64.whl", hash = "sha256:5471bd0300ada4820221562a381eae5e50c0c95ecb6723f3c02be27014ef732b"},
+    {file = "qiskit_aer-0.16.0-cp38-cp38-macosx_10_9_x86_64.whl", hash = "sha256:72a18342e4d6753bd7e6c565df2229b5caf88919fd80be5aade92016fdd7854d"},
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+    {file = "qiskit_aer-0.16.0-cp38-cp38-manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:14f262f9de0795863291b8a331dec2dbed0c2aa439ff2cea5c47d51b88f063ff"},
+    {file = "qiskit_aer-0.16.0-cp38-cp38-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:7fff96ccd3743f4b61f294953554775fcd2ea7030cf2d229b897ca53d4d5ddfe"},
+    {file = "qiskit_aer-0.16.0-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:0ba8c236d42505bea49aac3f99bceabbb0d3f9c7dd2def7e256c8c0726525303"},
+    {file = "qiskit_aer-0.16.0-cp38-cp38-win32.whl", hash = "sha256:98b44ba1b5093395168f29b2ccb77a580367b4d4556919cb92b620abe69aaad7"},
+    {file = "qiskit_aer-0.16.0-cp38-cp38-win_amd64.whl", hash = "sha256:c88a61fe8df35be05b844865aa7020083813a7a89d2d0e0b0b274387c474dc95"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:de122e4997c91101b221a2acf03d189c9348456027c49c9eed1bba57e99beb86"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-macosx_11_0_arm64.whl", hash = "sha256:b538561f4a174cfd9f70b0a648786033cfdf4d7c41ffd384f8cf05a4e36e9ad6"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:feaa5986a0dd1599fb426e62af13d53308e6521f91d79c25f93615217c48ebbe"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:31b0030d52f991a372fd6a7ce965ab53e26159e57d4becd7aa8fbd4b3dc2fab1"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:4900214e33e6902a10669d60bfd0d0a7c82a61329b3a171273f494e295c9dc43"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:6d4c5aef0349a1ffa174492ace1b36e83c73f67a93569098e44080f350230821"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-win32.whl", hash = "sha256:b148bf496f9f4ddf8557811e5969184ffee181835326a383e0401664d9911ce4"},
+    {file = "qiskit_aer-0.16.0-cp39-cp39-win_amd64.whl", hash = "sha256:ed83ad4aa8c4d3900f08c87420e6dc15711a6679fe8ca8d8da2da8bec9fd1b76"},
+]
+
+[package.dependencies]
+numpy = ">=1.16.3"
+psutil = ">=5"
+qiskit = ">=1.1.0"
+scipy = ">=1.0"
+
 [[package]]
 name = "qtconsole"
 version = "5.5.2"
@@ -5327,4 +5382,4 @@ qutip = ["qutip"]
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.10,<3.12"
-content-hash = "846d68a1516e1d546b1e386d76a57057a0f0391066ad6bb3c33e8177f6a801cf"
+content-hash = "0b0ad4c1e5ec058f5b899c8e2dfc02e6f5cdf1c7bc6e1c032cebd103402c5550"
diff --git a/pyproject.toml b/pyproject.toml
index 17a07ec..74fec20 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -58,3 +58,4 @@ mkdocs-literate-nav = "^0.6.0"
 mkdocstrings = {version = ">=0.19", extras = ["python"]}
 mkdocs-jupyter = "^0.24.7"
 mkdocs-mermaid2-plugin = "^1.1.1"
+qiskit-aer = "^0.16.0"