diff --git a/poetry.lock b/poetry.lock
index deab191..2301976 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -43,17 +43,17 @@ wrapt = [
 
 [[package]]
 name = "asttokens"
-version = "2.2.1"
+version = "2.4.0"
 description = "Annotate AST trees with source code positions"
 optional = false
 python-versions = "*"
 files = [
-    {file = "asttokens-2.2.1-py2.py3-none-any.whl", hash = "sha256:6b0ac9e93fb0335014d382b8fa9b3afa7df546984258005da0b9e7095b3deb1c"},
-    {file = "asttokens-2.2.1.tar.gz", hash = "sha256:4622110b2a6f30b77e1473affaa97e711bc2f07d3f10848420ff1898edbe94f3"},
+    {file = "asttokens-2.4.0-py2.py3-none-any.whl", hash = "sha256:cf8fc9e61a86461aa9fb161a14a0841a03c405fa829ac6b202670b3495d2ce69"},
+    {file = "asttokens-2.4.0.tar.gz", hash = "sha256:2e0171b991b2c959acc6c49318049236844a5da1d65ba2672c4880c1c894834e"},
 ]
 
 [package.dependencies]
-six = "*"
+six = ">=1.12.0"
 
 [package.extras]
 test = ["astroid", "pytest"]
@@ -87,9 +87,6 @@ files = [
     {file = "Babel-2.12.1.tar.gz", hash = "sha256:cc2d99999cd01d44420ae725a21c9e3711b3aadc7976d6147f622d8581963455"},
 ]
 
-[package.dependencies]
-pytz = {version = ">=2015.7", markers = "python_version < \"3.9\""}
-
 [[package]]
 name = "backcall"
 version = "0.2.0"
@@ -321,44 +318,44 @@ files = [
 
 [[package]]
 name = "cirq-core"
-version = "1.1.0"
+version = "1.2.0"
 description = "A framework for creating, editing, and invoking Noisy Intermediate Scale Quantum (NISQ) circuits."
 optional = false
-python-versions = ">=3.7.0"
+python-versions = ">=3.9.0"
 files = [
-    {file = "cirq_core-1.1.0-py3-none-any.whl", hash = "sha256:921c7e334d7b07ee84d2bbd259f46c0495661947314b517e57e81ffc3efd6119"},
+    {file = "cirq_core-1.2.0-py3-none-any.whl", hash = "sha256:35b1179a6a9b3833174d4b5ae07369980d06d429d8003d69071082135f7d4ef3"},
 ]
 
 [package.dependencies]
-duet = ">=0.2.7,<0.3.0"
+duet = ">=0.2.8,<0.3.0"
 matplotlib = ">=3.0,<4.0"
-networkx = ">=2.4,<3.0"
-numpy = ">=1.16,<1.24"
+networkx = ">=2.4"
+numpy = ">=1.16,<2.0"
 pandas = "*"
 scipy = "*"
 sortedcontainers = ">=2.0,<3.0"
 sympy = "*"
 tqdm = "*"
-typing-extensions = "*"
+typing-extensions = ">=4.2"
 
 [package.extras]
 contrib = ["autoray", "numba (>=0.53.0)", "opt-einsum", "ply (>=3.6)", "pylatex (>=1.3.0,<1.4.0)", "quimb"]
 
 [[package]]
 name = "cirq-google"
-version = "1.1.0"
+version = "1.2.0"
 description = "The Cirq module that provides tools and access to the Google Quantum Computing Service"
 optional = false
-python-versions = ">=3.7.0"
+python-versions = ">=3.9.0"
 files = [
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+    {file = "cirq_google-1.2.0-py3-none-any.whl", hash = "sha256:5c432b32577802e638d14e3dbc1f098691e5dcc0549ab756a50d27eea1e3f3e3"},
 ]
 
 [package.dependencies]
-cirq-core = "1.1.0"
-google-api-core = {version = ">=1.14.0,<2.0.0dev", extras = ["grpc"]}
+cirq-core = "1.2.0"
+google-api-core = {version = ">=1.14.0", extras = ["grpc"]}
 proto-plus = ">=1.20.0"
-protobuf = ">=3.15.0,<4"
+protobuf = ">=3.15.0"
 
 [[package]]
 name = "cma"
@@ -463,71 +460,63 @@ test-no-images = ["pytest", "pytest-cov", "wurlitzer"]
 
 [[package]]
 name = "coverage"
-version = "7.2.7"
+version = "7.3.0"
 description = "Code coverage measurement for Python"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
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@@ -723,13 +712,13 @@ woff = ["brotli (>=1.0.1)", "brotlicffi (>=0.8.0)", "zopfli (>=0.1.4)"]
 
 [[package]]
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-version = "2023.7.26"
+version = "2023.8.19"
 description = "A clean customisable Sphinx documentation theme."
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
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@@ -740,27 +729,33 @@ sphinx-basic-ng = "*"
 
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+requests = ">=2.18.0,<3.0.0.dev0"
 
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-grpcgcp = ["grpcio-gcp (>=0.2.2,<1.0dev)"]
-grpcio-gcp = ["grpcio-gcp (>=0.2.2,<1.0dev)"]
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+grpcio-gcp = ["grpcio-gcp (>=0.2.2,<1.0.dev0)"]
 
 [[package]]
 name = "google-auth"
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 [[package]]
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+version = "1.60.0"
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+
+[package.extras]
+protobuf = ["grpcio-tools (>=1.57.0)"]
 
 [[package]]
 name = "grpcio-status"
-version = "1.48.2"
+version = "1.57.0"
 description = "Status proto mapping for gRPC"
 optional = false
 python-versions = ">=3.6"
 files = [
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 ]
 
 [package.dependencies]
 googleapis-common-protos = ">=1.5.5"
-grpcio = ">=1.48.2"
-protobuf = ">=3.12.0"
+grpcio = ">=1.57.0"
+protobuf = ">=4.21.6"
 
 [[package]]
 name = "h5py"
@@ -952,13 +947,13 @@ testing = ["flufl.flake8", "importlib-resources (>=1.3)", "packaging", "pyfakefs
 
 [[package]]
 name = "importlib-resources"
-version = "6.0.0"
+version = "6.0.1"
 description = "Read resources from Python packages"
 optional = false
 python-versions = ">=3.8"
 files = [
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 ]
 
 [package.dependencies]
@@ -981,13 +976,13 @@ files = [
 
 [[package]]
 name = "ipython"
-version = "8.12.2"
+version = "8.15.0"
 description = "IPython: Productive Interactive Computing"
 optional = false
-python-versions = ">=3.8"
+python-versions = ">=3.9"
 files = [
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 ]
 
 [package.dependencies]
@@ -995,6 +990,7 @@ appnope = {version = "*", markers = "sys_platform == \"darwin\""}
 backcall = "*"
 colorama = {version = "*", markers = "sys_platform == \"win32\""}
 decorator = "*"
+exceptiongroup = {version = "*", markers = "python_version < \"3.11\""}
 jedi = ">=0.16"
 matplotlib-inline = "*"
 pexpect = {version = ">4.3", markers = "sys_platform != \"win32\""}
@@ -1006,9 +1002,9 @@ traitlets = ">=5"
 typing-extensions = {version = "*", markers = "python_version < \"3.10\""}
 
 [package.extras]
-all = ["black", "curio", "docrepr", "ipykernel", "ipyparallel", "ipywidgets", "matplotlib", "matplotlib (!=3.2.0)", "nbconvert", "nbformat", "notebook", "numpy (>=1.21)", "pandas", "pytest (<7)", "pytest (<7.1)", "pytest-asyncio", "qtconsole", "setuptools (>=18.5)", "sphinx (>=1.3)", "sphinx-rtd-theme", "stack-data", "testpath", "trio", "typing-extensions"]
+all = ["black", "curio", "docrepr", "exceptiongroup", "ipykernel", "ipyparallel", "ipywidgets", "matplotlib", "matplotlib (!=3.2.0)", "nbconvert", "nbformat", "notebook", "numpy (>=1.21)", "pandas", "pytest (<7)", "pytest (<7.1)", "pytest-asyncio", "qtconsole", "setuptools (>=18.5)", "sphinx (>=1.3)", "sphinx-rtd-theme", "stack-data", "testpath", "trio", "typing-extensions"]
 black = ["black"]
-doc = ["docrepr", "ipykernel", "matplotlib", "pytest (<7)", "pytest (<7.1)", "pytest-asyncio", "setuptools (>=18.5)", "sphinx (>=1.3)", "sphinx-rtd-theme", "stack-data", "testpath", "typing-extensions"]
+doc = ["docrepr", "exceptiongroup", "ipykernel", "matplotlib", "pytest (<7)", "pytest (<7.1)", "pytest-asyncio", "setuptools (>=18.5)", "sphinx (>=1.3)", "sphinx-rtd-theme", "stack-data", "testpath", "typing-extensions"]
 kernel = ["ipykernel"]
 nbconvert = ["nbconvert"]
 nbformat = ["nbformat"]
@@ -1037,21 +1033,21 @@ requirements-deprecated-finder = ["pip-api", "pipreqs"]
 
 [[package]]
 name = "jedi"
-version = "0.18.2"
+version = "0.19.0"
 description = "An autocompletion tool for Python that can be used for text editors."
 optional = false
 python-versions = ">=3.6"
 files = [
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+    {file = "jedi-0.19.0.tar.gz", hash = "sha256:bcf9894f1753969cbac8022a8c2eaee06bfa3724e4192470aaffe7eb6272b0c4"},
 ]
 
 [package.dependencies]
-parso = ">=0.8.0,<0.9.0"
+parso = ">=0.8.3,<0.9.0"
 
 [package.extras]
 docs = ["Jinja2 (==2.11.3)", "MarkupSafe (==1.1.1)", "Pygments (==2.8.1)", "alabaster (==0.7.12)", "babel (==2.9.1)", "chardet (==4.0.0)", "commonmark (==0.8.1)", "docutils (==0.17.1)", "future (==0.18.2)", "idna (==2.10)", "imagesize (==1.2.0)", "mock (==1.0.1)", "packaging (==20.9)", "pyparsing (==2.4.7)", "pytz (==2021.1)", "readthedocs-sphinx-ext (==2.1.4)", "recommonmark (==0.5.0)", "requests (==2.25.1)", "six (==1.15.0)", "snowballstemmer (==2.1.0)", "sphinx (==1.8.5)", "sphinx-rtd-theme (==0.4.3)", "sphinxcontrib-serializinghtml (==1.1.4)", "sphinxcontrib-websupport (==1.2.4)", "urllib3 (==1.26.4)"]
-qa = ["flake8 (==3.8.3)", "mypy (==0.782)"]
+qa = ["flake8 (==5.0.4)", "mypy (==0.971)", "types-setuptools (==67.2.0.1)"]
 testing = ["Django (<3.1)", "attrs", "colorama", "docopt", "pytest (<7.0.0)"]
 
 [[package]]
@@ -1073,31 +1069,29 @@ i18n = ["Babel (>=2.7)"]
 
 [[package]]
 name = "joblib"
-version = "1.3.1"
+version = "1.3.2"
 description = "Lightweight pipelining with Python functions"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "joblib-1.3.1-py3-none-any.whl", hash = "sha256:89cf0529520e01b3de7ac7b74a8102c90d16d54c64b5dd98cafcd14307fdf915"},
-    {file = "joblib-1.3.1.tar.gz", hash = "sha256:1f937906df65329ba98013dc9692fe22a4c5e4a648112de500508b18a21b41e3"},
+    {file = "joblib-1.3.2-py3-none-any.whl", hash = "sha256:ef4331c65f239985f3f2220ecc87db222f08fd22097a3dd5698f693875f8cbb9"},
+    {file = "joblib-1.3.2.tar.gz", hash = "sha256:92f865e621e17784e7955080b6d042489e3b8e294949cc44c6eac304f59772b1"},
 ]
 
 [[package]]
 name = "jsonschema"
-version = "4.18.4"
+version = "4.19.0"
 description = "An implementation of JSON Schema validation for Python"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "jsonschema-4.18.4-py3-none-any.whl", hash = "sha256:971be834317c22daaa9132340a51c01b50910724082c2c1a2ac87eeec153a3fe"},
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+    {file = "jsonschema-4.19.0-py3-none-any.whl", hash = "sha256:043dc26a3845ff09d20e4420d6012a9c91c9aa8999fa184e7efcfeccb41e32cb"},
+    {file = "jsonschema-4.19.0.tar.gz", hash = "sha256:6e1e7569ac13be8139b2dd2c21a55d350066ee3f80df06c608b398cdc6f30e8f"},
 ]
 
 [package.dependencies]
 attrs = ">=22.2.0"
-importlib-resources = {version = ">=1.4.0", markers = "python_version < \"3.9\""}
 jsonschema-specifications = ">=2023.03.6"
-pkgutil-resolve-name = {version = ">=1.3.10", markers = "python_version < \"3.9\""}
 referencing = ">=0.28.4"
 rpds-py = ">=0.7.1"
 
@@ -1117,18 +1111,17 @@ files = [
 ]
 
 [package.dependencies]
-importlib-resources = {version = ">=1.4.0", markers = "python_version < \"3.9\""}
 referencing = ">=0.28.0"
 
 [[package]]
 name = "jupyter-client"
-version = "8.3.0"
+version = "8.3.1"
 description = "Jupyter protocol implementation and client libraries"
 optional = false
 python-versions = ">=3.8"
 files = [
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@@ -1564,13 +1593,13 @@ webpdf = ["playwright"]
 
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@@ -1585,13 +1614,13 @@ test = ["pep440", "pre-commit", "pytest", "testpath"]
 
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 [[package]]
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 [[package]]
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 [package.extras]
@@ -2243,13 +2221,13 @@ tblis = ["pyscf-tblis"]
 
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@@ -2486,30 +2490,23 @@ cffi = {version = "*", markers = "implementation_name == \"pypy\""}
 
 [[package]]
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-[package.extras]
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 [[package]]
 name = "referencing"
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 [[package]]
@@ -2756,13 +2757,13 @@ files = [
 
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 [[package]]
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+
 [package.extras]
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 [[package]]
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+python-versions = ">=3.9"
 files = [
-    {file = "sphinxcontrib-htmlhelp-2.0.1.tar.gz", hash = "sha256:0cbdd302815330058422b98a113195c9249825d681e18f11e8b1f78a2f11efff"},
-    {file = "sphinxcontrib_htmlhelp-2.0.1-py3-none-any.whl", hash = "sha256:c38cb46dccf316c79de6e5515e1770414b797162b23cd3d06e67020e1d2a6903"},
+    {file = "sphinxcontrib_htmlhelp-2.0.4-py3-none-any.whl", hash = "sha256:8001661c077a73c29beaf4a79968d0726103c5605e27db92b9ebed8bab1359e9"},
+    {file = "sphinxcontrib_htmlhelp-2.0.4.tar.gz", hash = "sha256:6c26a118a05b76000738429b724a0568dbde5b72391a688577da08f11891092a"},
 ]
 
+[package.dependencies]
+Sphinx = ">=5"
+
 [package.extras]
 lint = ["docutils-stubs", "flake8", "mypy"]
 test = ["html5lib", "pytest"]
@@ -2926,32 +2936,52 @@ files = [
 [package.extras]
 test = ["flake8", "mypy", "pytest"]
 
+[[package]]
+name = "sphinxcontrib-katex"
+version = "0.9.7"
+description = "A Sphinx extension for rendering math in HTML pages"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "sphinxcontrib-katex-0.9.7.tar.gz", hash = "sha256:3a6754b1cfc90e141e3f73e0835eafc8262da5fafe7a4c674fa708fab79cebd7"},
+    {file = "sphinxcontrib_katex-0.9.7-py3-none-any.whl", hash = "sha256:30a5d772ebdc120431b41f36ed6a989b04329efc499b4ec9301f469e7cc69e9a"},
+]
+
+[package.dependencies]
+sphinx = ">=1.6"
+
 [[package]]
 name = "sphinxcontrib-qthelp"
-version = "1.0.3"
-description = "sphinxcontrib-qthelp is a sphinx extension which outputs QtHelp document."
+version = "1.0.6"
+description = "sphinxcontrib-qthelp is a sphinx extension which outputs QtHelp documents"
 optional = false
-python-versions = ">=3.5"
+python-versions = ">=3.9"
 files = [
-    {file = "sphinxcontrib-qthelp-1.0.3.tar.gz", hash = "sha256:4c33767ee058b70dba89a6fc5c1892c0d57a54be67ddd3e7875a18d14cba5a72"},
-    {file = "sphinxcontrib_qthelp-1.0.3-py2.py3-none-any.whl", hash = "sha256:bd9fc24bcb748a8d51fd4ecaade681350aa63009a347a8c14e637895444dfab6"},
+    {file = "sphinxcontrib_qthelp-1.0.6-py3-none-any.whl", hash = "sha256:bf76886ee7470b934e363da7a954ea2825650013d367728588732c7350f49ea4"},
+    {file = "sphinxcontrib_qthelp-1.0.6.tar.gz", hash = "sha256:62b9d1a186ab7f5ee3356d906f648cacb7a6bdb94d201ee7adf26db55092982d"},
 ]
 
+[package.dependencies]
+Sphinx = ">=5"
+
 [package.extras]
 lint = ["docutils-stubs", "flake8", "mypy"]
 test = ["pytest"]
 
 [[package]]
 name = "sphinxcontrib-serializinghtml"
-version = "1.1.5"
-description = "sphinxcontrib-serializinghtml is a sphinx extension which outputs \"serialized\" HTML files (json and pickle)."
+version = "1.1.9"
+description = "sphinxcontrib-serializinghtml is a sphinx extension which outputs \"serialized\" HTML files (json and pickle)"
 optional = false
-python-versions = ">=3.5"
+python-versions = ">=3.9"
 files = [
-    {file = "sphinxcontrib-serializinghtml-1.1.5.tar.gz", hash = "sha256:aa5f6de5dfdf809ef505c4895e51ef5c9eac17d0f287933eb49ec495280b6952"},
-    {file = "sphinxcontrib_serializinghtml-1.1.5-py2.py3-none-any.whl", hash = "sha256:352a9a00ae864471d3a7ead8d7d79f5fc0b57e8b3f95e9867eb9eb28999b92fd"},
+    {file = "sphinxcontrib_serializinghtml-1.1.9-py3-none-any.whl", hash = "sha256:9b36e503703ff04f20e9675771df105e58aa029cfcbc23b8ed716019b7416ae1"},
+    {file = "sphinxcontrib_serializinghtml-1.1.9.tar.gz", hash = "sha256:0c64ff898339e1fac29abd2bf5f11078f3ec413cfe9c046d3120d7ca65530b54"},
 ]
 
+[package.dependencies]
+Sphinx = ">=5"
+
 [package.extras]
 lint = ["docutils-stubs", "flake8", "mypy"]
 test = ["pytest"]
@@ -3065,20 +3095,20 @@ files = [
 
 [[package]]
 name = "tqdm"
-version = "4.65.0"
+version = "4.66.1"
 description = "Fast, Extensible Progress Meter"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "tqdm-4.65.0-py3-none-any.whl", hash = "sha256:c4f53a17fe37e132815abceec022631be8ffe1b9381c2e6e30aa70edc99e9671"},
-    {file = "tqdm-4.65.0.tar.gz", hash = "sha256:1871fb68a86b8fb3b59ca4cdd3dcccbc7e6d613eeed31f4c332531977b89beb5"},
+    {file = "tqdm-4.66.1-py3-none-any.whl", hash = "sha256:d302b3c5b53d47bce91fea46679d9c3c6508cf6332229aa1e7d8653723793386"},
+    {file = "tqdm-4.66.1.tar.gz", hash = "sha256:d88e651f9db8d8551a62556d3cff9e3034274ca5d66e93197cf2490e2dcb69c7"},
 ]
 
 [package.dependencies]
 colorama = {version = "*", markers = "platform_system == \"Windows\""}
 
 [package.extras]
-dev = ["py-make (>=0.1.0)", "twine", "wheel"]
+dev = ["pytest (>=6)", "pytest-cov", "pytest-timeout", "pytest-xdist"]
 notebook = ["ipywidgets (>=6)"]
 slack = ["slack-sdk"]
 telegram = ["requests"]
@@ -3260,5 +3290,5 @@ testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "p
 
 [metadata]
 lock-version = "2.0"
-python-versions = ">3.8,<3.12"
-content-hash = "380f3b27675ad384a6d934b4aece3a50f8dda305600fd65d58fd746d68b8a3ad"
+python-versions = ">3.9,<3.12"
+content-hash = "758c5594c719ed677f5e1a0b42fec989bd9c717a9f00368d790ef1f44a964031"