diff --git a/poetry.lock b/poetry.lock
index da3b604..ba3eb81 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,4 @@
-# This file is automatically @generated by Poetry 1.7.0 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 = "aiosignal"
@@ -56,21 +56,22 @@ test = ["astroid (>=1,<2)", "astroid (>=2,<4)", "pytest"]
 
 [[package]]
 name = "attrs"
-version = "23.1.0"
+version = "23.2.0"
 description = "Classes Without Boilerplate"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "attrs-23.1.0-py3-none-any.whl", hash = "sha256:1f28b4522cdc2fb4256ac1a020c78acf9cba2c6b461ccd2c126f3aa8e8335d04"},
-    {file = "attrs-23.1.0.tar.gz", hash = "sha256:6279836d581513a26f1bf235f9acd333bc9115683f14f7e8fae46c98fc50e015"},
+    {file = "attrs-23.2.0-py3-none-any.whl", hash = "sha256:99b87a485a5820b23b879f04c2305b44b951b502fd64be915879d77a7e8fc6f1"},
+    {file = "attrs-23.2.0.tar.gz", hash = "sha256:935dc3b529c262f6cf76e50877d35a4bd3c1de194fd41f47a2b7ae8f19971f30"},
 ]
 
 [package.extras]
 cov = ["attrs[tests]", "coverage[toml] (>=5.3)"]
-dev = ["attrs[docs,tests]", "pre-commit"]
+dev = ["attrs[tests]", "pre-commit"]
 docs = ["furo", "myst-parser", "sphinx", "sphinx-notfound-page", "sphinxcontrib-towncrier", "towncrier", "zope-interface"]
 tests = ["attrs[tests-no-zope]", "zope-interface"]
-tests-no-zope = ["cloudpickle", "hypothesis", "mypy (>=1.1.1)", "pympler", "pytest (>=4.3.0)", "pytest-mypy-plugins", "pytest-xdist[psutil]"]
+tests-mypy = ["mypy (>=1.6)", "pytest-mypy-plugins"]
+tests-no-zope = ["attrs[tests-mypy]", "cloudpickle", "hypothesis", "pympler", "pytest (>=4.3.0)", "pytest-xdist[psutil]"]
 
 [[package]]
 name = "autoray"
@@ -89,13 +90,13 @@ tests = ["coverage", "numpy", "pytest", "pytest-cov"]
 
 [[package]]
 name = "babel"
-version = "2.13.1"
+version = "2.14.0"
 description = "Internationalization utilities"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "Babel-2.13.1-py3-none-any.whl", hash = "sha256:7077a4984b02b6727ac10f1f7294484f737443d7e2e66c5e4380e41a3ae0b4ed"},
-    {file = "Babel-2.13.1.tar.gz", hash = "sha256:33e0952d7dd6374af8dbf6768cc4ddf3ccfefc244f9986d4074704f2fbd18900"},
+    {file = "Babel-2.14.0-py3-none-any.whl", hash = "sha256:efb1a25b7118e67ce3a259bed20545c29cb68be8ad2c784c83689981b7a57287"},
+    {file = "Babel-2.14.0.tar.gz", hash = "sha256:6919867db036398ba21eb5c7a0f6b28ab8cbc3ae7a73a44ebe34ae74a4e7d363"},
 ]
 
 [package.dependencies]
@@ -163,13 +164,13 @@ files = [
 
 [[package]]
 name = "certifi"
-version = "2023.7.22"
+version = "2023.11.17"
 description = "Python package for providing Mozilla's CA Bundle."
 optional = false
 python-versions = ">=3.6"
 files = [
-    {file = "certifi-2023.7.22-py3-none-any.whl", hash = "sha256:92d6037539857d8206b8f6ae472e8b77db8058fec5937a1ef3f54304089edbb9"},
-    {file = "certifi-2023.7.22.tar.gz", hash = "sha256:539cc1d13202e33ca466e88b2807e29f4c13049d6d87031a3c110744495cb082"},
+    {file = "certifi-2023.11.17-py3-none-any.whl", hash = "sha256:e036ab49d5b79556f99cfc2d9320b34cfbe5be05c5871b51de9329f0603b0474"},
+    {file = "certifi-2023.11.17.tar.gz", hash = "sha256:9b469f3a900bf28dc19b8cfbf8019bf47f7fdd1a65a1d4ffb98fc14166beb4d1"},
 ]
 
 [[package]]
@@ -387,13 +388,13 @@ files = [
 
 [[package]]
 name = "comm"
-version = "0.2.0"
+version = "0.2.1"
 description = "Jupyter Python Comm implementation, for usage in ipykernel, xeus-python etc."
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "comm-0.2.0-py3-none-any.whl", hash = "sha256:2da8d9ebb8dd7bfc247adaff99f24dce705638a8042b85cb995066793e391001"},
-    {file = "comm-0.2.0.tar.gz", hash = "sha256:a517ea2ca28931c7007a7a99c562a0fa5883cfb48963140cf642c41c948498be"},
+    {file = "comm-0.2.1-py3-none-any.whl", hash = "sha256:87928485c0dfc0e7976fd89fc1e187023cf587e7c353e4a9b417555b44adf021"},
+    {file = "comm-0.2.1.tar.gz", hash = "sha256:0bc91edae1344d39d3661dcbc36937181fdaddb304790458f8b044dbc064b89a"},
 ]
 
 [package.dependencies]
@@ -473,6 +474,25 @@ mypy = ["contourpy[bokeh,docs]", "docutils-stubs", "mypy (==1.4.1)", "types-Pill
 test = ["Pillow", "contourpy[test-no-images]", "matplotlib"]
 test-no-images = ["pytest", "pytest-cov", "wurlitzer"]
 
+[[package]]
+name = "cotengra"
+version = "0.5.6"
+description = "Hyper optimized contraction trees for large tensor networks and einsums."
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "cotengra-0.5.6-py3-none-any.whl", hash = "sha256:d2e1fa9f39e80e9e02fd750112d6722cc22538ce9a60d3aa247143f3db0e59f3"},
+    {file = "cotengra-0.5.6.tar.gz", hash = "sha256:4e8ab61ea569eced25b602ca72aae0854f8825da76190664fe9c1414a55499cb"},
+]
+
+[package.dependencies]
+autoray = "*"
+
+[package.extras]
+docs = ["astroid (<3.0.0)", "furo", "ipython (!=8.7.0)", "myst-nb", "setuptools-scm", "sphinx (>=2.0)", "sphinx-autoapi", "sphinx-copybutton", "sphinx-design"]
+recommended = ["cotengrust", "cytoolz", "kahypar", "networkx", "numpy", "opt-einsum", "optuna", "ray", "tqdm"]
+test = ["altair", "baytune", "chocolate", "dask", "distributed", "kahypar", "matplotlib", "networkx", "nevergrad", "numpy", "opt-einsum", "pytest", "seaborn", "skopt"]
+
 [[package]]
 name = "cycler"
 version = "0.12.1"
@@ -689,13 +709,13 @@ dev-env = ["black (==22.3.0)", "isort (==5.7.*)", "mypy (==0.931.*)", "pylint (=
 
 [[package]]
 name = "exceptiongroup"
-version = "1.1.3"
+version = "1.2.0"
 description = "Backport of PEP 654 (exception groups)"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "exceptiongroup-1.1.3-py3-none-any.whl", hash = "sha256:343280667a4585d195ca1cf9cef84a4e178c4b6cf2274caef9859782b567d5e3"},
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+    {file = "exceptiongroup-1.2.0-py3-none-any.whl", hash = "sha256:4bfd3996ac73b41e9b9628b04e079f193850720ea5945fc96a08633c66912f14"},
+    {file = "exceptiongroup-1.2.0.tar.gz", hash = "sha256:91f5c769735f051a4290d52edd0858999b57e5876e9f85937691bd4c9fa3ed68"},
 ]
 
 [package.extras]
@@ -717,13 +737,13 @@ tests = ["asttokens (>=2.1.0)", "coverage", "coverage-enable-subprocess", "ipyth
 
 [[package]]
 name = "fastjsonschema"
-version = "2.19.0"
+version = "2.19.1"
 description = "Fastest Python implementation of JSON schema"
 optional = false
 python-versions = "*"
 files = [
-    {file = "fastjsonschema-2.19.0-py3-none-any.whl", hash = "sha256:b9fd1a2dd6971dbc7fee280a95bd199ae0dd9ce22beb91cc75e9c1c528a5170e"},
-    {file = "fastjsonschema-2.19.0.tar.gz", hash = "sha256:e25df6647e1bc4a26070b700897b07b542ec898dd4f1f6ea013e7f6a88417225"},
+    {file = "fastjsonschema-2.19.1-py3-none-any.whl", hash = "sha256:3672b47bc94178c9f23dbb654bf47440155d4db9df5f7bc47643315f9c405cd0"},
+    {file = "fastjsonschema-2.19.1.tar.gz", hash = "sha256:e3126a94bdc4623d3de4485f8d468a12f02a67921315ddc87836d6e456dc789d"},
 ]
 
 [package.extras]
@@ -763,59 +783,59 @@ pyflakes = ">=2.4.0,<2.5.0"
 
 [[package]]
 name = "fonttools"
-version = "4.44.3"
+version = "4.47.0"
 description = "Tools to manipulate font files"
 optional = false
 python-versions = ">=3.8"
 files = [
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-
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+[package.extras]
+docs = ["Sphinx", "furo"]
 test = ["objgraph", "psutil"]
 
 [[package]]
@@ -1005,13 +1042,13 @@ numpy = ">=1.17.3"
 
 [[package]]
 name = "idna"
-version = "3.4"
+version = "3.6"
 description = "Internationalized Domain Names in Applications (IDNA)"
 optional = false
 python-versions = ">=3.5"
 files = [
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 [[package]]
@@ -1027,20 +1064,20 @@ files = [
 
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 description = "Read metadata from Python packages"
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 python-versions = ">=3.8"
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 [package.extras]
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@@ -1075,13 +1112,13 @@ files = [
 
 [[package]]
 name = "ipykernel"
-version = "6.26.0"
+version = "6.28.0"
 description = "IPython Kernel for Jupyter"
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 python-versions = ">=3.8"
 files = [
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 [package.dependencies]
@@ -1095,7 +1132,7 @@ matplotlib-inline = ">=0.1"
 nest-asyncio = "*"
 packaging = "*"
 psutil = "*"
-pyzmq = ">=20"
+pyzmq = ">=24"
 tornado = ">=6.1"
 traitlets = ">=5.4.0"
 
@@ -1168,20 +1205,17 @@ test = ["ipykernel", "jsonschema", "pytest (>=3.6.0)", "pytest-cov", "pytz"]
 
 [[package]]
 name = "isort"
-version = "5.12.0"
+version = "5.13.2"
 description = "A Python utility / library to sort Python imports."
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 python-versions = ">=3.8.0"
 files = [
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 [package.extras]
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-plugins = ["setuptools"]
-requirements-deprecated-finder = ["pip-api", "pipreqs"]
+colors = ["colorama (>=0.4.6)"]
 
 [[package]]
 name = "jedi"
@@ -1244,13 +1278,13 @@ format-nongpl = ["fqdn", "idna", "isoduration", "jsonpointer (>1.13)", "rfc3339-
 
 [[package]]
 name = "jsonschema-specifications"
-version = "2023.11.1"
+version = "2023.12.1"
 description = "The JSON Schema meta-schemas and vocabularies, exposed as a Registry"
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 python-versions = ">=3.8"
 files = [
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 [package.dependencies]
@@ -1309,13 +1343,13 @@ test = ["coverage", "ipykernel (>=6.14)", "mypy", "paramiko", "pre-commit", "pyt
 
 [[package]]
 name = "jupyter-core"
-version = "5.5.0"
+version = "5.7.0"
 description = "Jupyter core package. A base package on which Jupyter projects rely."
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 [package.dependencies]
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 python-versions = ">=3.8"
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 pyparsing = ">=2.3.1"
 python-dateutil = ">=2.7"
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 [[package]]
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 [package.extras]
 docs = ["furo", "olefile", "sphinx (>=2.4)", "sphinx-copybutton", "sphinx-inline-tabs", "sphinx-removed-in", "sphinxext-opengraph"]
+fpx = ["olefile"]
+mic = ["olefile"]
 tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "packaging", "pyroma", "pytest", "pytest-cov", "pytest-timeout"]
+typing = ["typing-extensions"]
+xmp = ["defusedxml"]
 
 [[package]]
 name = "pkgutil-resolve-name"
@@ -2267,13 +2328,13 @@ files = [
 
 [[package]]
 name = "platformdirs"
-version = "4.0.0"
+version = "4.1.0"
 description = "A small Python package for determining appropriate platform-specific dirs, e.g. a \"user data dir\"."
 optional = false
-python-versions = ">=3.7"
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 files = [
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 [package.extras]
@@ -2308,13 +2369,13 @@ files = [
 
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+version = "3.0.43"
 description = "Library for building powerful interactive command lines in Python"
 optional = false
 python-versions = ">=3.7.0"
 files = [
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 [package.dependencies]
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 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*, !=3.5.*"
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 ]
 
 [package.extras]
@@ -2472,17 +2533,18 @@ files = [
 
 [[package]]
 name = "pygments"
-version = "2.16.1"
+version = "2.17.2"
 description = "Pygments is a syntax highlighting package written in Python."
 optional = false
 python-versions = ">=3.7"
 files = [
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 ]
 
 [package.extras]
 plugins = ["importlib-metadata"]
+windows-terminal = ["colorama (>=0.4.6)"]
 
 [[package]]
 name = "pyparsing"
@@ -2500,13 +2562,13 @@ diagrams = ["jinja2", "railroad-diagrams"]
 
 [[package]]
 name = "pytest"
-version = "7.4.3"
+version = "7.4.4"
 description = "pytest: simple powerful testing with Python"
 optional = false
 python-versions = ">=3.7"
 files = [
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 ]
 
 [package.dependencies]
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 frozenlist = "*"
 jsonschema = "*"
 msgpack = ">=1.0.0,<2.0.0"
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 packaging = "*"
 protobuf = ">=3.15.3,<3.19.5 || >3.19.5"
 pyyaml = "*"
 requests = "*"
 
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-typing-extensions = ">=4.2.0"
+typing-extensions = ">=4.6.0"
 
 [package.extras]
 aiomysql = ["aiomysql (>=0.2.0)", "greenlet (!=0.4.17)"]
 aioodbc = ["aioodbc", "greenlet (!=0.4.17)"]
-aiosqlite = ["aiosqlite", "greenlet (!=0.4.17)", "typing-extensions (!=3.10.0.1)"]
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 asyncio = ["greenlet (!=0.4.17)"]
 asyncmy = ["asyncmy (>=0.2.3,!=0.2.4,!=0.2.6)", "greenlet (!=0.4.17)"]
 mariadb-connector = ["mariadb (>=1.0.1,!=1.1.2,!=1.1.5)"]
@@ -3464,7 +3488,7 @@ mssql-pyodbc = ["pyodbc"]
 mypy = ["mypy (>=0.910)"]
 mysql = ["mysqlclient (>=1.4.0)"]
 mysql-connector = ["mysql-connector-python"]
-oracle = ["cx-oracle (>=8)"]
+oracle = ["cx_oracle (>=8)"]
 oracle-oracledb = ["oracledb (>=1.0.1)"]
 postgresql = ["psycopg2 (>=2.7)"]
 postgresql-asyncpg = ["asyncpg", "greenlet (!=0.4.17)"]
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 postgresql-psycopg2cffi = ["psycopg2cffi"]
 postgresql-psycopgbinary = ["psycopg[binary] (>=3.0.7)"]
 pymysql = ["pymysql"]
-sqlcipher = ["sqlcipher3-binary"]
+sqlcipher = ["sqlcipher3_binary"]
 
 [[package]]
 name = "stack-data"
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 name = "tornado"
-version = "6.3.3"
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 description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed."
 optional = false
 python-versions = ">= 3.8"
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+    {file = "tornado-6.4-cp38-abi3-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:f7894c581ecdcf91666a0912f18ce5e757213999e183ebfc2c3fdbf4d5bd764e"},
+    {file = "tornado-6.4-cp38-abi3-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:e43bc2e5370a6a8e413e1e1cd0c91bedc5bd62a74a532371042a18ef19e10579"},
+    {file = "tornado-6.4-cp38-abi3-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:f0251554cdd50b4b44362f73ad5ba7126fc5b2c2895cc62b14a1c2d7ea32f212"},
+    {file = "tornado-6.4-cp38-abi3-musllinux_1_1_aarch64.whl", hash = "sha256:fd03192e287fbd0899dd8f81c6fb9cbbc69194d2074b38f384cb6fa72b80e9c2"},
+    {file = "tornado-6.4-cp38-abi3-musllinux_1_1_i686.whl", hash = "sha256:88b84956273fbd73420e6d4b8d5ccbe913c65d31351b4c004ae362eba06e1f78"},
+    {file = "tornado-6.4-cp38-abi3-musllinux_1_1_x86_64.whl", hash = "sha256:71ddfc23a0e03ef2df1c1397d859868d158c8276a0603b96cf86892bff58149f"},
+    {file = "tornado-6.4-cp38-abi3-win32.whl", hash = "sha256:6f8a6c77900f5ae93d8b4ae1196472d0ccc2775cc1dfdc9e7727889145c45052"},
+    {file = "tornado-6.4-cp38-abi3-win_amd64.whl", hash = "sha256:10aeaa8006333433da48dec9fe417877f8bcc21f48dda8d661ae79da357b2a63"},
+    {file = "tornado-6.4.tar.gz", hash = "sha256:72291fa6e6bc84e626589f1c29d90a5a6d593ef5ae68052ee2ef000dfd273dee"},
 ]
 
 [[package]]
@@ -3650,39 +3674,39 @@ telegram = ["requests"]
 
 [[package]]
 name = "traitlets"
-version = "5.13.0"
+version = "5.14.1"
 description = "Traitlets Python configuration system"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "traitlets-5.13.0-py3-none-any.whl", hash = "sha256:baf991e61542da48fe8aef8b779a9ea0aa38d8a54166ee250d5af5ecf4486619"},
-    {file = "traitlets-5.13.0.tar.gz", hash = "sha256:9b232b9430c8f57288c1024b34a8f0251ddcc47268927367a0dd3eeaca40deb5"},
+    {file = "traitlets-5.14.1-py3-none-any.whl", hash = "sha256:2e5a030e6eff91737c643231bfcf04a65b0132078dad75e4936700b213652e74"},
+    {file = "traitlets-5.14.1.tar.gz", hash = "sha256:8585105b371a04b8316a43d5ce29c098575c2e477850b62b848b964f1444527e"},
 ]
 
 [package.extras]
 docs = ["myst-parser", "pydata-sphinx-theme", "sphinx"]
-test = ["argcomplete (>=3.0.3)", "mypy (>=1.6.0)", "pre-commit", "pytest (>=7.0,<7.5)", "pytest-mock", "pytest-mypy-testing"]
+test = ["argcomplete (>=3.0.3)", "mypy (>=1.7.0)", "pre-commit", "pytest (>=7.0,<7.5)", "pytest-mock", "pytest-mypy-testing"]
 
 [[package]]
 name = "typing-extensions"
-version = "4.8.0"
+version = "4.9.0"
 description = "Backported and Experimental Type Hints for Python 3.8+"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "typing_extensions-4.8.0-py3-none-any.whl", hash = "sha256:8f92fc8806f9a6b641eaa5318da32b44d401efaac0f6678c9bc448ba3605faa0"},
-    {file = "typing_extensions-4.8.0.tar.gz", hash = "sha256:df8e4339e9cb77357558cbdbceca33c303714cf861d1eef15e1070055ae8b7ef"},
+    {file = "typing_extensions-4.9.0-py3-none-any.whl", hash = "sha256:af72aea155e91adfc61c3ae9e0e342dbc0cba726d6cba4b6c72c1f34e47291cd"},
+    {file = "typing_extensions-4.9.0.tar.gz", hash = "sha256:23478f88c37f27d76ac8aee6c905017a143b0b1b886c3c9f66bc2fd94f9f5783"},
 ]
 
 [[package]]
 name = "tzdata"
-version = "2023.3"
+version = "2023.4"
 description = "Provider of IANA time zone data"
 optional = false
 python-versions = ">=2"
 files = [
-    {file = "tzdata-2023.3-py2.py3-none-any.whl", hash = "sha256:7e65763eef3120314099b6939b5546db7adce1e7d6f2e179e3df563c70511eda"},
-    {file = "tzdata-2023.3.tar.gz", hash = "sha256:11ef1e08e54acb0d4f95bdb1be05da659673de4acbd21bf9c69e94cc5e907a3a"},
+    {file = "tzdata-2023.4-py2.py3-none-any.whl", hash = "sha256:aa3ace4329eeacda5b7beb7ea08ece826c28d761cda36e747cfbf97996d39bf3"},
+    {file = "tzdata-2023.4.tar.gz", hash = "sha256:dd54c94f294765522c77399649b4fefd95522479a664a0cec87f41bebc6148c9"},
 ]
 
 [[package]]
@@ -3703,13 +3727,13 @@ zstd = ["zstandard (>=0.18.0)"]
 
 [[package]]
 name = "wcwidth"
-version = "0.2.10"
+version = "0.2.12"
 description = "Measures the displayed width of unicode strings in a terminal"
 optional = false
 python-versions = "*"
 files = [
-    {file = "wcwidth-0.2.10-py2.py3-none-any.whl", hash = "sha256:aec5179002dd0f0d40c456026e74a729661c9d468e1ed64405e3a6c2176ca36f"},
-    {file = "wcwidth-0.2.10.tar.gz", hash = "sha256:390c7454101092a6a5e43baad8f83de615463af459201709556b6e4b1c861f97"},
+    {file = "wcwidth-0.2.12-py2.py3-none-any.whl", hash = "sha256:f26ec43d96c8cbfed76a5075dac87680124fa84e0855195a6184da9c187f133c"},
+    {file = "wcwidth-0.2.12.tar.gz", hash = "sha256:f01c104efdf57971bcb756f054dd58ddec5204dd15fa31d6503ea57947d97c02"},
 ]
 
 [[package]]
@@ -3741,4 +3765,4 @@ testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "p
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.8 <3.11"
-content-hash = "502d6f7494cfb8256961ae0ab13f01dd9795fbd635236c1b21f015856bdbea38"
+content-hash = "13491887272376cff6df68ca63e0acfd9b43f6a25ad30af4d93a985d27ecf19c"
diff --git a/pyproject.toml b/pyproject.toml
index 31c321e..995837b 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -17,7 +17,6 @@ flake8 = "^4.0.1"
 py3Dmol = "^1.8.0"
 ncon = "^1.0.0"
 opt-einsum = "^3.3.0"
-qubovert = "^1.2.5"
 pytest = "^7.2.2"
 numba = "0.56"
 quimb = "^1.5.1"
diff --git a/symmer/operators/anticommuting_op.py b/symmer/operators/anticommuting_op.py
index fae497e..b2ae581 100644
--- a/symmer/operators/anticommuting_op.py
+++ b/symmer/operators/anticommuting_op.py
@@ -167,14 +167,31 @@ def unitary_partitioning(self, s_index: int=None, up_method: Optional[str]='seq_
             AC_op (AntiCommutingOp): normalized clique - i.e. self == gamma_l * AC_op
         """
         assert up_method in ['LCU', 'seq_rot'], f'unknown unitary partitioning method: {up_method}'
-        AC_op = self.copy()
+
+        if s_index is None:
+            s_index = self.get_least_dense_term_index()
+
+        if np.isclose(self.coeff_vec[s_index], 0):
+            # need to correct for s_index having zero coeff...
+            s_index = np.argmax(abs(self.coeff_vec))
+            warnings.warn(f's indexed term has zero coeff, s_index set to {s_index} so that nonzero operator is rotated onto')
+       
+        s_index = int(s_index)
+        BsPs    = self[s_index]
+
+        # NOTE: term to reduce to is at the top of sym matrix i.e. s_index of ZERO now!
+        no_BsPs = (self - BsPs).cleanup()
+        if (len(no_BsPs.coeff_vec)==1 and no_BsPs.coeff_vec[0]==0):
+            AC_op = BsPs
+        else:
+            AC_op = BsPs.append(no_BsPs)
 
         if AC_op.n_terms == 1:
-            rotations = None
+            rotations = []
             gamma_l = np.linalg.norm(AC_op.coeff_vec)
             AC_op.coeff_vec = AC_op.coeff_vec / gamma_l
-            Ps = PauliwordOp(AC_op.symp_matrix, [1])
-            return Ps, rotations, gamma_l, AC_op
+            Ps = AC_op
+            return Ps, rotations, gamma_l, self.multiply_by_constant(1/gamma_l)
 
         else:
 
@@ -183,23 +200,6 @@ def unitary_partitioning(self, s_index: int=None, up_method: Optional[str]='seq_
             gamma_l = np.linalg.norm(AC_op.coeff_vec)
             AC_op.coeff_vec = AC_op.coeff_vec / gamma_l
 
-            if s_index is None:
-                s_index = self.get_least_dense_term_index()
-
-            if s_index!=0:
-                # re-order so s term is ALWAYS at top of symplectic matrix and thus is index as 0!
-                ### assert s_index <= AC_op.n_terms-1, 's_index out of range'
-                AC_op.coeff_vec[[0, s_index]] = AC_op.coeff_vec[[s_index, 0]]
-                AC_op.symp_matrix[[0, s_index]] = AC_op.symp_matrix[[s_index, 0]]
-                AC_op = AntiCommutingOp(AC_op.symp_matrix, AC_op.coeff_vec) # need to reinit otherwise Z and X blocks wrong
-
-            # assert not np.isclose(AC_op.coeff_vec[0], 0), f's_index cannot have zero coefficent: {AC_op.coeff_vec[0]}'
-            if np.isclose(AC_op[0].coeff_vec, 0):
-                # need to correct for s_index having zero coeff... then need to swap to nonzero index
-                non_zero_index = np.argmax(abs(AC_op.coeff_vec))
-                AC_op.coeff_vec[[0, non_zero_index]] = AC_op.coeff_vec[[non_zero_index, 0]]
-                AC_op.symp_matrix[[0, non_zero_index]] = AC_op.symp_matrix[[non_zero_index, 0]]
-
             if up_method=='seq_rot':
                 if len(self.X_sk_rotations)!=0:
                     self.X_sk_rotations = []
@@ -210,11 +210,31 @@ def unitary_partitioning(self, s_index: int=None, up_method: Optional[str]='seq_
                     self.R_LCU = None
 
                 Ps = self.generate_LCU_operator(AC_op)
-                rotations = self.R_LCU
+                rotations = LCU_as_seq_rot(self.R_LCU)
             else:
                 raise ValueError(f'unknown unitary partitioning method: {up_method}!')
 
-            return Ps, rotations, gamma_l, AC_op
+            return Ps, rotations, gamma_l, self.multiply_by_constant(1/gamma_l)
+        
+    def multiply_by_constant(self, constant: float) -> "AntiCommutingOp":
+        """ Return AntiCommutingOp under constant multiplication
+        """
+        AC_op_copy = self.copy()
+        AC_op_copy.coeff_vec *= constant
+        return AC_op_copy
+    
+    @classmethod
+    def random(cls, n_qubits: int, n_terms: Union[None, int]=None, apply_clifford=True) -> "AntiCommutingOp":
+        """
+        generate a random real coefficient anticommuting op
+
+        """
+        from symmer.utils import random_anitcomm_2n_1_PauliwordOp
+        if n_terms is None:
+            n_terms = 2*n_qubits+1
+
+        assert n_terms<= 2*n_qubits+1, f'cannot have {n_terms} Pops on {n_qubits} qubits'
+        return cls.from_PauliwordOp( random_anitcomm_2n_1_PauliwordOp(n_qubits, apply_clifford=apply_clifford)[:n_terms])
 
     def generate_LCU_operator(self, AC_op) -> PauliwordOp:
         """
@@ -235,74 +255,45 @@ def generate_LCU_operator(self, AC_op) -> PauliwordOp:
             R_LCU (PauliwordOp): PauliwordOp that is a linear combination of unitaries
             P_s (PauliwordOp): single PauliwordOp that has been reduced too.
         """
-        # need to remove zero coeff terms
-        AC_op_cpy = AC_op.copy()
-        before_cleanup = AC_op_cpy.n_terms
-        AC_op = AC_op_cpy[np.where(abs(AC_op.coeff_vec)>1e-15)[0]]
-        post_cleanup = AC_op.n_terms
-        # AC_op = AC_op.cleanup(zero_threshold=1e-15)  ## cleanup re-orders which is BAD for s_index
+        ## s_index is ensured to be in zero position in unitary_partitioning method! 
+        ## if using function without this method need to ensure term to rotate onto is the zeroth index of AC_op!
+        s_index=0
 
+        # note gamma_l norm applied on init!
+        Ps_LCU = PauliwordOp(AC_op.symp_matrix[s_index], [1])
+        βs = AC_op.coeff_vec[s_index]
 
-        if (before_cleanup>1 and post_cleanup==1):
-            if AC_op.coeff_vec[0]<0:
-                # need to fix neg sign (use Pauli multiplication)
+        #  ∑ β_k 𝑃_k  ... note this doesn't contain 𝛽_s 𝑃_s
+        no_βsPs = AC_op - (Ps_LCU.multiply_by_constant(βs))
 
-                # as s index defaults to 0, take the next term (in CS-VQE this will commute with symmetries)!
-                if np.isclose(AC_op_cpy[0].coeff_vec, 0):
-                    # need to correct for s_index having zero coeff... then need to swap to nonzero index
-                    non_zero_index = np.argmax(abs(AC_op_cpy.coeff_vec))
+        # Ω_𝑙 ∑ 𝛿_k 𝑃_k  ... renormalized!
+        omega_l = np.linalg.norm(no_βsPs.coeff_vec)
+        no_βsPs.coeff_vec = no_βsPs.coeff_vec / omega_l
 
-                    AC_op_cpy.coeff_vec[[0, non_zero_index]] = AC_op_cpy.coeff_vec[[non_zero_index, 0]]
-                    AC_op_cpy.symp_matrix[[0, non_zero_index]] = AC_op_cpy.symp_matrix[[non_zero_index, 0]]
+        phi_n_1 = np.arccos(βs)
+        # require sin(𝜙_{𝑛−1}) to be positive...
+        if (phi_n_1 > np.pi):
+            phi_n_1 = 2 * np.pi - phi_n_1
 
+        alpha = phi_n_1
+        I_term = 'I' * Ps_LCU.n_qubits
+        self.R_LCU = PauliwordOp.from_dictionary({I_term: np.cos(alpha / 2)})
 
-                sign_correction = PauliwordOp(AC_op_cpy.symp_matrix[1],[1])
+        sin_term = -np.sin(alpha / 2)
 
-                self.R_LCU = sign_correction
-                Ps_LCU = PauliwordOp(AC_op.symp_matrix, [1])
-            else:
-                self.R_LCU = PauliwordOp.from_list(['I'*AC_op.n_qubits])
-                Ps_LCU = PauliwordOp(AC_op.symp_matrix, AC_op.coeff_vec)
-        else:
-            s_index=0
-
-            # note gamma_l norm applied on init!
-            Ps_LCU = PauliwordOp(AC_op.symp_matrix[s_index], [1])
-            βs = AC_op.coeff_vec[s_index]
-
-            #  ∑ β_k 𝑃_k  ... note this doesn't contain 𝛽_s 𝑃_s
-            no_βsPs = AC_op - (Ps_LCU.multiply_by_constant(βs))
-
-            # Ω_𝑙 ∑ 𝛿_k 𝑃_k  ... renormalized!
-            omega_l = np.linalg.norm(no_βsPs.coeff_vec)
-            no_βsPs.coeff_vec = no_βsPs.coeff_vec / omega_l
-
-            phi_n_1 = np.arccos(βs)
-            # require sin(𝜙_{𝑛−1}) to be positive...
-            if (phi_n_1 > np.pi):
-                phi_n_1 = 2 * np.pi - phi_n_1
-
-            alpha = phi_n_1
-            I_term = 'I' * Ps_LCU.n_qubits
-            self.R_LCU = PauliwordOp.from_dictionary({I_term: np.cos(alpha / 2)})
-
-            sin_term = -np.sin(alpha / 2)
-
-            for dkPk in no_βsPs:
-                dk_PkPs = dkPk * Ps_LCU
-                self.R_LCU += dk_PkPs.multiply_by_constant(sin_term)
+        for dkPk in no_βsPs:
+            dk_PkPs = dkPk * Ps_LCU
+            self.R_LCU += dk_PkPs.multiply_by_constant(sin_term)
 
         return Ps_LCU
 
-def LCU_as_seq_rot(AC_op: PauliwordOp, include_global_phase_correction=False):
+def LCU_as_seq_rot(R_LCU: PauliwordOp):
     """
     Convert a unitary composed of a
     See equations 18 and 19 of https://arxiv.org/pdf/1907.09040.pdf
-    Note global phase fix is not necessary
 
     Args:
-        AC_op (PauliwordOp): unitary composed as a linear combination of anticommuting Pauli operators (excluding identity)
-        include_global_phase_correction (optional): whether to fix global phase to matrix input operator matrix exactly
+        R_LCU (PauliwordOp): unitary composed as a normalized linear combination of imaginary anticommuting Pauli operators (excluding identity)
     Returns:
         expon_p_terms (list): list of rotations generated by Pauli operators to implement AC_op unitary
 
@@ -326,40 +317,34 @@ def LCU_as_seq_rot(AC_op: PauliwordOp, include_global_phase_correction=False):
     check = reduce(lambda a,b: a*b, [exponentiate_single_Pop(x.multiply_by_constant(1j*y/2)) for x, y in exp_terms])
     print(check == rotations_LCU)
     """
-
-    assert AC_op.n_terms > 1, 'AC_op must have more than 1 term'
-    assert np.isclose(np.linalg.norm(AC_op.coeff_vec), 1), 'AC_op must be l2 normalized'
+    if isinstance(R_LCU, list) and len(R_LCU)==0:
+        # case where there are no rotations
+        return list()
+    
+    assert R_LCU.n_terms > 1, 'AC_op must have more than 1 term'
+    assert np.isclose(np.linalg.norm(R_LCU.coeff_vec), 1), 'AC_op must be l2 normalized'
 
     expon_p_terms = []
 
     # IF imaginary components the this makes real (but need phase correction later!)
-    coeff_vec = AC_op.coeff_vec.real + AC_op.coeff_vec.imag
+    coeff_vec = R_LCU.coeff_vec.real + R_LCU.coeff_vec.imag
     for k, c_k in enumerate(coeff_vec):
-        P_k = AC_op[k]
+        P_k = R_LCU[k]
         theta_k = np.arcsin(c_k / np.linalg.norm(coeff_vec[:(k + 1)]))
         P_k.coeff_vec[0] = 1
         expon_p_terms.append(tuple((P_k, theta_k)))
 
     expon_p_terms = [*expon_p_terms, *expon_p_terms[::-1]]
 
-    ### check
-    # from symmer.evolution.exponentiation import exponentiate_single_Pop
-    # terms = [exponentiate_single_Pop(op.multiply_by_constant(1j*angle/2)) for op,angle in expon_p_terms]
-    # final_op = reduce(lambda x,y: x*y, terms) * PauliwordOp.from_dictionary({'I'*AC_op.n_qubits: -1j})
-    # assert AC_op == final_op
-
-    # in circuit this would be done with Z * Y * X gate series:
-    # global phase correction (not necessary)
-    ## phase_correction = PauliwordOp.from_dictionary({'I'*AC_op.n_qubits: -1j})
-
-    if include_global_phase_correction:
-        ## multiply by -1j Identity term!
-        phase_rot = (PauliwordOp.from_dictionary({'I' * AC_op.n_qubits: 1}), -np.pi)
-        expon_p_terms.append(phase_rot)
-
-        # check1 = reduce(lambda a,b: a*b, [exponentiate_single_Pop(x.multiply_by_constant(1j*y/2)) for x, y in expon_p_terms])
-        # assert check1 == AC_op
-
+    ##### manual phase correction with a rotation!
+    # if include_global_phase_correction:
+    #     ## multiply by -1j Identity term!
+    #     phase_rot = (PauliwordOp.from_dictionary({'I' * R_LCU.n_qubits: 1}), -np.pi)
+    #     expon_p_terms.append(phase_rot)
+    
+    ## phase correction - change angle by -pi in first rotation!
+    expon_p_terms[0] = (expon_p_terms[0][0], expon_p_terms[0][1]-np.pi)
+    
     return expon_p_terms
 
 # from symmer.operators.utils import mul_symplectic
diff --git a/symmer/operators/base.py b/symmer/operators/base.py
index eb878a4..a5c643c 100644
--- a/symmer/operators/base.py
+++ b/symmer/operators/base.py
@@ -945,7 +945,7 @@ def __getitem__(self,
         elif isinstance(key, (list, np.ndarray)):
             mask = np.asarray(key)
         else:
-            raise ValueError('Unrecognised input, must be an integer, slice, list or np.array')
+            raise ValueError(f'Unrecognised input {type(key)}, must be an integer, slice, list or np.array')
         
         symp_items = self.symp_matrix[mask]
         coeff_items = self.coeff_vec[mask]
@@ -1098,7 +1098,8 @@ def adjacency_matrix_qwc(self) -> np.array:
     def is_noncontextual(self) -> bool:
         """ 
         Returns True if the operator is noncontextual, False if contextual
-        Scales as O(N^2), compared with the O(N^3) algorithm of https://doi.org/10.1103/PhysRevLett.123.200501
+        Scales as O(M^2), compared with the O(M^3) algorithm of https://doi.org/10.1103/PhysRevLett.123.200501
+        where M is the number of terms in the operator.
         Constructing the adjacency matrix is by far the most expensive part - very fast once that has been built.
 
         Returns:
@@ -1111,7 +1112,8 @@ def is_noncontextual(self) -> bool:
 
     def _rotate_by_single_Pword(self,
             Pword: "PauliwordOp", 
-            angle: float = None
+            angle: float = None,
+            threshold: float = 1e-18
         ) -> "PauliwordOp":
         """ 
         Let R(t) = e^{i t/2 Q} = cos(t/2)*I + i*sin(t/2)*Q, then one of the following can occur:
@@ -1127,10 +1129,17 @@ def _rotate_by_single_Pword(self,
         Args:
             Pword (PauliwordOp): The Pauliword to rotate by.
             angle (float): The rotation angle in radians. If None, a Clifford rotation (angle=pi/2) is assumed.
-
+            threshold (float): Angle threshold for Clifford rotation (precision to which the angle is a multiple of pi/2)
         Returns:
             PauliwordOp: The rotated operator.
         """
+        if angle is None: # for legacy compatibility
+            angle = np.pi/2
+
+        if angle.imag != 0:
+            warnings.warn('Complex component in angle: this will be ignored.')
+        angle = angle.real
+
         assert(Pword.n_terms==1), 'Only rotation by single Pauliword allowed here'
         if Pword.coeff_vec[0] != 1:
             # non-1 coefficients will affect the sign and angle in the exponent of R(t)
@@ -1150,15 +1159,25 @@ def _rotate_by_single_Pword(self,
             commute_self = PauliwordOp(self.symp_matrix[commute_vec], self.coeff_vec[commute_vec])
             anticom_self = PauliwordOp(self.symp_matrix[~commute_vec], self.coeff_vec[~commute_vec])
 
-            if angle is None:
-                # assumes pi/2 rotation so Clifford
-                anticom_part = (anticom_self*Pword_copy).multiply_by_constant(-1j)
+            multiple = angle * 2 / np.pi
+            int_part = round(multiple)
+            if abs(int_part - multiple)<=threshold:
+                if int_part % 2 == 0:
+                    # no rotation for angle congruent to 0 or pi disregarding sign, fixed in next line
+                    anticom_part = anticom_self
+                else:
+                    # rotation of -pi/2 disregarding sign, fixed in next line
+                    anticom_part = (anticom_self*Pword_copy).multiply_by_constant(-1j)
+                if int_part in [2,3]:
+                    anticom_part = anticom_part.multiply_by_constant(-1)
                 # if rotation is Clifford cannot produce duplicate terms so cleanup not necessary
                 return PauliwordOp(
                     np.vstack([anticom_part.symp_matrix, commute_self.symp_matrix]), 
                     np.hstack([anticom_part.coeff_vec, commute_self.coeff_vec])
                 )
             else:
+                if abs(angle)>1e6:
+                    warnings.warn('Large angle can lead to precision errors: recommend using high-precision math library such as mpmath or redefine angle in range [-pi, pi]')
                 # if angle is specified, performs non-Clifford rotation
                 anticom_part = (anticom_self.multiply_by_constant(np.cos(angle)) + 
                                 (anticom_self*Pword_copy).multiply_by_constant(-1j*np.sin(angle)))
@@ -1182,9 +1201,12 @@ def perform_rotations(self,
             PauliwordOp: The operator after performing the rotations.
         """
         op_copy = self.copy()
-        for pauli_rotation, angle in rotations:
-            op_copy = op_copy._rotate_by_single_Pword(pauli_rotation, angle).cleanup()
-        return op_copy
+        if rotations == []:
+            return op_copy.cleanup()
+        else:
+            for pauli_rotation, angle in rotations:
+                op_copy = op_copy._rotate_by_single_Pword(pauli_rotation, angle).cleanup()
+            return op_copy
 
     def tensor(self, right_op: "PauliwordOp") -> "PauliwordOp":
         """ 
diff --git a/symmer/operators/noncontextual_op.py b/symmer/operators/noncontextual_op.py
index 52adfa7..c24749e 100644
--- a/symmer/operators/noncontextual_op.py
+++ b/symmer/operators/noncontextual_op.py
@@ -2,13 +2,12 @@
 import itertools
 import numpy as np
 import networkx as nx
-import qubovert as qv
 from cached_property import cached_property
 from time import time
 from functools import reduce
 from typing import Optional, Union, Tuple, List
 from matplotlib import pyplot as plt
-from scipy.optimize import differential_evolution, shgo
+from scipy.optimize import shgo
 from symmer.operators import PauliwordOp, IndependentOp, AntiCommutingOp, QuantumState
 from symmer.operators.utils import binomial_coefficient, perform_noncontextual_sweep
 from symmer.utils import random_anitcomm_2n_1_PauliwordOp
@@ -332,7 +331,7 @@ def random(cls,
         for _ in range(n_qubits * 5):
             P_rand = PauliwordOp.random(H_nc.n_qubits, n_terms=1)
             P_rand.coeff_vec = [1]
-            U_cliff_rotations.append((P_rand, None))
+            U_cliff_rotations.append((P_rand, np.random.choice([np.pi/2, -np.pi/2])))
 
         H_nc = H_nc.perform_rotations(U_cliff_rotations)
 
@@ -503,37 +502,6 @@ def noncontextual_reconstruction(self) -> None:
         self.pauli_mult_signs = np.array(
             list(map(multiply_indices,jordan_recon_matrix.astype(bool)))
         ).astype(int)
-        
-    def symmetrized_operator(self, expansion_order=1):
-        """ 
-        Get the symmetrized noncontextual operator S_0 - sqrt(S_1^2 + .. S_M^2).
-        In the infinite limit of expansion_order the ground state of this operator
-        will coincide exactly with the true noncontextual operator. This is used
-        for xUSO solver since this reformulation of the Hamiltonian is polynomial.
-
-        Args:
-            expansion_order (int): Expansion order. By default, it is set to 1.
-
-        Returns:
-            Symmetrized noncontextual operator.
-        """
-        Si_list = [self.decomposed['symmetry']]
-        for i in range(self.n_cliques):
-            Ci = self.decomposed[i][0]; Ci.coeff_vec[0]=1
-            Si = Ci*self.decomposed[i]
-            Si_list.append(Si)
-
-        S = sum([Si**2 for Si in Si_list[1:]])
-        norm = np.linalg.norm(S.coeff_vec, ord=1)
-        S *= (1/norm)
-        I = PauliwordOp.from_list(['I'*self.n_qubits])
-        terms = [
-            (I-S)**n * (-1)**n * binomial_coefficient(.5, n) 
-            for n in range(expansion_order+1)
-        ] # power series expansion of the oeprator root
-        S_root = sum(terms) * np.sqrt(norm)
-        
-        return Si_list[0] - S_root
 
     def get_symmetry_contributions(self, nu: np.array) -> float:
         """
@@ -572,21 +540,16 @@ def update_clique_representative_operator(self, clique_index:int = None) -> List
         
     def solve(self, 
             strategy: str = 'brute_force', 
-            ref_state: np.array = None, 
-            num_anneals:int = 1_000,
-            expansion_order:int = 1
+            ref_state: np.array = None
         ) -> None:
         """ 
         Minimize the classical objective function, yielding the noncontextual 
         ground state. This updates the coefficients of the clique representative 
         operator C(r) and symmetry generators G with the optimal configuration.
 
-        Note: Most QUSO functions/methods work faster than their PUSO counterparts.
-
         Args:
-            strategy (str): Optimization strategy. By default it is set to 'brute_force'. It can be 'brute_force', 'binary_relaxation', 'brute_force_PUSO', 'brute_force_QUSO', 'annealing_PUSO', or 'annealing_QUSO'.
-            ref_state (np.array): Reference State.
-            num_anneals (int): Number of simulated anneals to do.
+            strategy (str): Optimization strategy. By default it is set to 'brute_force'. It can be 'brute_force' or 'binary_relaxation'.
+            ref_state (np.array): Reference State
             expansion_order (int): Expansion order. By default, it is set to 1.
         """
         if ref_state is not None:
@@ -600,36 +563,13 @@ def solve(self,
         else:
             NC_solver = NoncontextualSolver(self)
 
-        NC_solver.num_anneals = num_anneals
-        NC_solver.expansion_order = expansion_order
-
         if strategy=='brute_force':
             self.energy, nu = NC_solver.energy_via_brute_force()
-
         elif strategy=='binary_relaxation':
             self.energy, nu = NC_solver.energy_via_relaxation()
-        
         else:
-            #### qubovert strategies below this point ####
-            # PUSO = Polynomial unconstrained spin Optimization
-            # QUSO: Quadratic Unconstrained Spin Optimization
-            if strategy == 'brute_force_PUSO':
-                NC_solver.method = 'brute_force'
-                NC_solver.x = 'P'   
-            elif strategy == 'brute_force_QUSO':  
-                NC_solver.method = 'brute_force'
-                NC_solver.x = 'Q'
-            elif strategy == 'annealing_PUSO':
-                NC_solver.method = 'annealing'
-                NC_solver.x = 'P'
-            elif strategy == 'annealing_QUSO':
-                NC_solver.method = 'annealing'
-                NC_solver.x = 'Q'
-            else:
-                raise ValueError(f'Unknown optimization strategy: {strategy}')
-        
-            self.energy, nu = NC_solver.energy_xUSO()
-
+            raise ValueError(f'Unknown optimization strategy: {strategy}')
+    
         # optimize the clique operator coefficients
         self.symmetry_generators.coeff_vec = nu.astype(int)
         if self.n_cliques > 0:
@@ -657,6 +597,7 @@ def noncon_state(self, UP_method:Optional[str]= 'LCU') -> Tuple[QuantumState, np
         assert UP_method in ['LCU', 'seq_rot']
 
         if UP_method == 'LCU':
+            rotations_LCU = self.clique_operator.R_LCU
             Ps, rotations_LCU, gamma_l, AC_normed = self.clique_operator.unitary_partitioning(s_index=0,
                                                                                                   up_method='LCU')
         else:
@@ -684,13 +625,13 @@ def noncon_state(self, UP_method:Optional[str]= 'LCU') -> Tuple[QuantumState, np
 
         ## undo clifford rotations
         from symmer.evolution.exponentiation import exponentiate_single_Pop
-        for op, _ in clifford_rots:
+        for op, _ in clifford_rots[::-1]:
             rot = exponentiate_single_Pop(op.multiply_by_constant(1j * np.pi / 4))
             state = rot.dagger * state
 
         ## undo unitary partitioning step
         if UP_method == 'LCU':
-            state = rotations_LCU.dagger * state
+            state = self.clique_operator.R_LCU.dagger * state
         else:
             for op, angle in rotations_SEQ[::-1]:
                 state = exponentiate_single_Pop(op.multiply_by_constant(1j * angle / 2)).dagger * state
@@ -703,12 +644,8 @@ def noncon_state(self, UP_method:Optional[str]= 'LCU') -> Tuple[QuantumState, np
 
 class NoncontextualSolver:
 
-    # xUSO settings
     method:str = 'brute_force'
-    x:str = 'P'
-    num_anneals:int = 1_000,
-    _nu = None,
-    expansion_order=1
+    _nu = None
 
     def __init__(
         self,
@@ -777,97 +714,7 @@ def get_nu(angles):
         fix_nu = np.sign(np.array(get_nu(np.cos(optimizer_output['x'])))).astype(int)
         self.NC_op.symmetry_generators.coeff_vec = fix_nu 
         return optimizer_output['fun'], fix_nu
-    
-    #################################################################
-    ################ UNCONSTRAINED SPIN OPTIMIZATION ################
-    #################################################################    
 
-    def get_cost_func(self):
-        """ 
-        Define the unconstrained spin cost function.
-        """
-        symmetrized_operator = self.NC_op.symmetrized_operator(expansion_order=self.expansion_order)
-        G_indices, _ = symmetrized_operator.generator_reconstruction(self.NC_op.symmetry_generators)
-        # setup spin variables
-        fixed_indices = np.where(self.fixed_ev_mask)[0] # bool to indices
-        fixed_assignments = dict(zip(fixed_indices, self.fixed_eigvals))
-        q_vec_SPIN={}
-        for ind in range(self.NC_op.symmetry_generators.n_terms):
-            if ind in fixed_assignments.keys():
-                q_vec_SPIN[ind] = fixed_assignments[ind]
-            else:
-                q_vec_SPIN[ind] = qv.spin_var('x%d' % ind)
-
-        COST = 0
-        for P_index, term in enumerate(G_indices):
-            non_zero_inds = term.nonzero()[0]
-            # collect all the spin terms
-            G_term = 1
-            for i in non_zero_inds:
-                G_term *= q_vec_SPIN[i]
-
-            # cost function
-            COST += (
-                G_term * 
-                symmetrized_operator.coeff_vec[P_index].real
-                #self.NC_op.pauli_mult_signs[P_index]# * 
-                #r_part[P_index].real
-            )
-
-        return COST
-
-    def energy_xUSO(self) -> Tuple[float, np.array, np.array]:
-        """
-        Get energy via either: Polynomial unconstrained spin Optimization (x=P)
-                                    or
-                                Quadratic Unconstrained Spin Optimization  (x=Q)
-
-        via a brute force search over q_vector or via simulated annealing
-
-        Note in this method the r_vector is fixed upon input! (aka just does binary optimization)
-
-        Args:
-            NC_op (NoncontextualOp): Non-contextual operator
-            fixed_ev_mask (np.array): bool list of where eigenvalues in nu vector are fixed
-            fixed_eigvals (np.array): list of nu eigenvalues that are fixed
-            method (str): brute force or annealing optimization
-            x (str): Whether method is Polynomial or Quadratic optimization
-            num_anneals (optional): number of simulated anneals to do
-
-        Returns:
-            energy (float): noncontextual energy
-        """
-        assert self.x in ['P', 'Q']
-        assert self.method in ['brute_force', 'annealing']
-        
-        COST = self.get_cost_func()
-        
-        if np.all(self.fixed_ev_mask):
-            # if no degrees of freedom over nu vector, COST is a number
-            nu_vec = self.fixed_eigvals
-        else:
-            if self.x =='P':
-                spin_problem = COST.to_puso()
-            else:
-                spin_problem = COST.to_quso()
-
-            if self.method=='brute_force':
-                sol = spin_problem.solve_bruteforce()
-            elif self.method == 'annealing':
-                if self.x == 'P':
-                    puso_res = qv.sim.anneal_puso(spin_problem, num_anneals=self.num_anneals)
-                elif self.x == 'Q':
-                    puso_res= qv.sim.anneal_quso(spin_problem, num_anneals=self.num_anneals)
-                    assert COST.is_solution_valid(puso_res.best.state) is True
-                sol = puso_res.best.state
-
-            solution = COST.convert_solution(sol)
-            nu_vec = np.ones(self.NC_op.symmetry_generators.n_terms, dtype=int)
-            nu_vec[self.fixed_ev_mask] = self.fixed_eigvals
-            # must ensure the binary variables are correctly ordered in the solution:
-            nu_vec[~self.fixed_ev_mask] = np.array([solution[x_i] for x_i in sorted(COST.variables)])
-        
-        return self.NC_op.get_energy(nu_vec), nu_vec
 
 @process.parallelize
 def get_noncon_energy(nu: np.array, noncon_H:NoncontextualOp) -> float:
diff --git a/symmer/projection/contextual_subspace.py b/symmer/projection/contextual_subspace.py
index 2ae8290..30ea3a0 100644
--- a/symmer/projection/contextual_subspace.py
+++ b/symmer/projection/contextual_subspace.py
@@ -32,11 +32,9 @@ def __init__(self,
             operator: PauliwordOp,
             noncontextual_strategy: str = 'diag',
             noncontextual_solver: str = 'brute_force',
-            num_anneals:Optional[int] = 1000,
             unitary_partitioning_method: str = 'seq_rot',
             reference_state: Union[np.array, QuantumState] = None,
-            noncontextual_operator: NoncontextualOp = None,
-            noncontextual_expansion_order: int = 1
+            noncontextual_operator: NoncontextualOp = None
         ):
         """
         When passing in a noncontextual_operator if noncontextual_strategy set to be 'solved' then noncontextual_solver will NOT be run.
@@ -45,11 +43,9 @@ def __init__(self,
             operator(PauliwordOp): Operator one wishes to enforce as stabilizers over the contextual subspace.
             noncontextual_strategy (str): Non-Contextual Strategy to be applied. Its default value is'diag'.
             noncontextual_solver (str): Non-contextual solver to be applied. Its default value is'brute_force'.
-            num_anneals (int): Number of simulated anneals to do. By default, it is set to 1000.
             unitary_partitioning_method (str): Unitary Partitioning Method to be applied. Its default value is'seq_rot'.
             reference_state (QuantumState): Reference State. By default, it is set to None.
-            noncontextual_operator (NoncontextualOp): Non-contextual Operator. By default, it is set to None.
-            noncontextual_expansion_order (int): Non-contextual Expansion Order. Its default value is 1.       
+            noncontextual_operator (NoncontextualOp): Non-contextual Operator. By default, it is set to None.    
         """
         # noncontextual startegy will have the form x_y, where x is the actual strategy
         # and y is some supplementary method indicating a sorting key such as magnitude
@@ -60,8 +56,6 @@ def __init__(self,
         extract_noncon_strat = noncontextual_strategy.split('_')
         self.nc_strategy = extract_noncon_strat[0]
         self.noncontextual_solver = noncontextual_solver
-        self.num_anneals = num_anneals
-        self.noncontextual_expansion_order = noncontextual_expansion_order
         self.unitary_partitioning_method = unitary_partitioning_method
 
         # With the exception of the StabilizeFirst noncontextual strategy, here we build
@@ -158,9 +152,7 @@ def _noncontextual_update(self):
                 raise ValueError('The Hamiltonian is noncontextual, the contextual subspace is empty.')
             self.noncontextual_operator.solve(
                 strategy=self.noncontextual_solver, 
-                ref_state=self.ref_state, 
-                num_anneals=self.num_anneals,
-                expansion_order=self.noncontextual_expansion_order
+                ref_state=self.ref_state
             )
             self.n_cliques = self.noncontextual_operator.n_cliques
         
@@ -327,16 +319,7 @@ def project_onto_subspace(self, operator_to_project:PauliwordOp=None) -> Pauliwo
         self.S3_initialized = True
         # perform unitary partitioning
         if self.perform_unitary_partitioning:
-            # the rotation is implemented differently depending on the choice of LCU or seq_rot
-            if self.noncontextual_operator.up_method=='LCU':
-                # linear-combination-of-unitaries approach
-                rotated_op = (self.noncontextual_operator.unitary_partitioning_rotations * operator_to_project
-                        * self.noncontextual_operator.unitary_partitioning_rotations.dagger).cleanup()
-            elif self.noncontextual_operator.up_method=='seq_rot':
-                # sequence-of-rotations approach
-                rotated_op = operator_to_project.perform_rotations(self.noncontextual_operator.unitary_partitioning_rotations)
-            else:
-                raise ValueError('Unrecognised unitary partitioning rotation method, must be one of LCU or seq_rot.')
+            rotated_op = operator_to_project.perform_rotations(self.noncontextual_operator.unitary_partitioning_rotations)
         else:
             rotated_op = operator_to_project
         # finally, project the operator before returning
@@ -373,10 +356,9 @@ def project_state_onto_subspace(self,
             state_to_project = self.ref_state
 
         if self.perform_unitary_partitioning:
-            # behaviour is different whether using the LCU or seq_rot UP methods
-            if self.noncontextual_operator.up_method == 'LCU':
-                rotation = self.noncontextual_operator.unitary_partitioning_rotations
-            elif self.noncontextual_operator.up_method == 'seq_rot':
+            if self.noncontextual_operator.unitary_partitioning_rotations == []:
+                rotation = PauliwordOp.from_list(['I'*self.operator.n_qubits])
+            else:
                 rotation_generator = sum([R*angle*.5*1j for R,angle in self.noncontextual_operator.unitary_partitioning_rotations])
                 rotation = trotter(rotation_generator)
             return self.project_state(rotation * state_to_project)
diff --git a/symmer/utils.py b/symmer/utils.py
index 92eb420..5ff15b1 100644
--- a/symmer/utils.py
+++ b/symmer/utils.py
@@ -141,10 +141,10 @@ def random_anitcomm_2n_1_PauliwordOp(n_qubits, complex_coeff=False, apply_cliffo
     if apply_clifford:
         # apply clifford rotations to get rid of structure
         U_cliff_rotations = []
-        for _ in range(n_qubits + 5):
+        for _ in range(n_qubits * 5):
             P_rand = PauliwordOp.random(n_qubits, n_terms=1)
             P_rand.coeff_vec = [1]
-            U_cliff_rotations.append((P_rand, None))
+            U_cliff_rotations.append((P_rand, np.random.choice([np.pi/2, -np.pi/2])))
 
         P_anticomm = P_anticomm.perform_rotations(U_cliff_rotations)
 
diff --git a/tests/test_operators/test_anticommuting_op.py b/tests/test_operators/test_anticommuting_op.py
index 09ecee7..15e018c 100644
--- a/tests/test_operators/test_anticommuting_op.py
+++ b/tests/test_operators/test_anticommuting_op.py
@@ -62,7 +62,7 @@ def test_unitary_partitioning_no_s_index_seq_rot():
     Ps, rotations, gamma_l, AC_op = AcOp_real.unitary_partitioning(s_index=None, up_method='seq_rot')
 
     assert Ps.n_terms==1, 'can only rotate onto single Pauli operator'
-    assert gamma_l == np.linalg.norm(list(anti_commuting_real.values())), 'normalization wrong'
+    assert np.isclose(gamma_l, np.linalg.norm(list(anti_commuting_real.values()))), 'normalization wrong'
     assert len(rotations) == AcOp_real.n_terms-1, 'seq of rotation number incorrect'
 
     P_red = AcOp_real.perform_rotations(rotations)
@@ -91,15 +91,10 @@ def test_unitary_partitioning_no_s_index_LCU():
     Ps, rotations, gamma_l, AC_op = AcOp_real.unitary_partitioning(s_index=None, up_method='LCU')
 
     assert Ps.n_terms==1, 'can only rotate onto single Pauli operator'
-    assert gamma_l == np.linalg.norm(list(anti_commuting_real.values())), 'normalization wrong'
+    assert np.isclose(gamma_l, np.linalg.norm(list(anti_commuting_real.values()))), 'normalization wrong'
 
-    assert isinstance(rotations, PauliwordOp)
-    assert rotations.n_terms == AcOp_real.n_terms, 'LCU op contains too many pauli operators'
-
-    R_AC_op_Rdag = rotations * AcOp_real * rotations.dagger
+    R_AC_op_Rdag = AcOp_real.perform_rotations(rotations)
     assert R_AC_op_Rdag == Ps.multiply_by_constant(gamma_l)
-    assert rotations*rotations.dagger == PauliwordOp.from_dictionary({'I'*AcOp_real.n_qubits : 1}), 'R not unitary'
-
 
 def test_unitary_partitioning_s_index_seq_rot():
     AcOp_real = AntiCommutingOp.from_dictionary(anti_commuting_real)
@@ -109,7 +104,7 @@ def test_unitary_partitioning_s_index_seq_rot():
                                                                        up_method='seq_rot')
 
         assert Ps.n_terms==1, 'can only rotate onto single Pauli operator'
-        assert gamma_l == np.linalg.norm(list(anti_commuting_real.values())), 'normalization wrong'
+        assert np.isclose(gamma_l, np.linalg.norm(list(anti_commuting_real.values()))), 'normalization wrong'
         assert len(rotations) == AcOp_real.n_terms-1, 'seq of rotation number incorrect'
 
         P_red = AcOp_real.perform_rotations(rotations)
@@ -141,15 +136,10 @@ def test_unitary_partitioning_s_index_LCU():
                                                                        up_method='LCU')
 
         assert Ps.n_terms==1, 'can only rotate onto single Pauli operator'
-        assert gamma_l == np.linalg.norm(list(anti_commuting_real.values())), 'normalization wrong'
-
-        assert isinstance(rotations, PauliwordOp)
-        assert rotations.n_terms == AcOp_real.n_terms, 'LCU op contains too many pauli operators'
+        assert np.isclose(gamma_l, np.linalg.norm(list(anti_commuting_real.values()))), 'normalization wrong'
 
-        R_AC_op_Rdag = rotations * AcOp_real * rotations.dagger
+        R_AC_op_Rdag = AcOp_real.perform_rotations(rotations)
         assert R_AC_op_Rdag == Ps.multiply_by_constant(gamma_l)
-        assert rotations*rotations.dagger == PauliwordOp.from_dictionary({'I'*AcOp_real.n_qubits : 1}), 'R not unitary'
-
 
 def test_unitary_partitioning_seq_rot_complex():
     AcOp_comp = AntiCommutingOp.from_dictionary(anti_commuting_complex)
@@ -206,7 +196,7 @@ def test_ac_set_with_zero_ceoffs():
     Ps_LCU, rotations_LCU, gamma_l, AC_normed = AcOp_real.unitary_partitioning(s_index=1,
                                                                         up_method='LCU')
 
-    LCU_output = (rotations_LCU * AC_normed * rotations_LCU.dagger).cleanup()
+    LCU_output = AC_normed.perform_rotations(rotations_LCU).cleanup()
     assert LCU_output.n_terms==1
     assert np.isclose(LCU_output.coeff_vec[0], 1)
     assert Ps_LCU == LCU_output
@@ -218,13 +208,13 @@ def test_ac_set_with_negative_and_zero_ceoffs():
                                                                         up_method='seq_rot')
     seq_rot_output = AC_normed.perform_rotations(rotations_seq_rot)
     assert seq_rot_output.n_terms==1
-    assert np.isclose(seq_rot_output.coeff_vec[0], 1)
+    assert np.isclose(seq_rot_output.coeff_vec[0], -1)
     assert Ps_seq_rot == seq_rot_output
 
     Ps_LCU, rotations_LCU, gamma_l, AC_normed = AcOp_real.unitary_partitioning(s_index=0,
                                                                         up_method='LCU')
 
-    LCU_output = (rotations_LCU * AC_normed * rotations_LCU.dagger).cleanup()
+    LCU_output = AC_normed.perform_rotations(rotations_LCU)
     assert LCU_output.n_terms==1
-    assert np.isclose(LCU_output.coeff_vec[0], 1)
+    assert np.isclose(LCU_output.coeff_vec[0], -1)
     assert Ps_LCU == LCU_output
\ No newline at end of file
diff --git a/tests/test_operators/test_noncontextual_op.py b/tests/test_operators/test_noncontextual_op.py
index c2c06ed..d93ff2b 100644
--- a/tests/test_operators/test_noncontextual_op.py
+++ b/tests/test_operators/test_noncontextual_op.py
@@ -249,8 +249,7 @@ def test_solve_brute_force_discrete_no_ref():
     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
     
     H_noncon.solve(strategy='brute_force',
-                   ref_state=None,
-                   num_anneals=None)
+                   ref_state=None)
     assert np.isclose(H_noncon.energy, noncon_problem['E'])
 
 
@@ -258,57 +257,19 @@ def test_solve_binary_relaxation_no_ref():
     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
     
     H_noncon.solve(strategy='binary_relaxation',
-                      ref_state=None,
-                      num_anneals=None)
+                      ref_state=None)
     assert noncon_problem['E']<=H_noncon.energy
     if not np.isclose(H_noncon.energy, noncon_problem['E']):
         warnings.warn('binary relaxation method not finding correct energy')
     else:
         assert np.isclose(H_noncon.energy, noncon_problem['E'])
 
-
-def test_solve_brute_force_PUSO_discrete_no_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    H_noncon.solve(strategy='brute_force_PUSO',
-                   ref_state=None,
-                   num_anneals=None)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-
-def test_solve_brute_force_QUSO_discrete_no_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    H_noncon.solve(strategy='brute_force_QUSO',
-                   ref_state=None,
-                   num_anneals=None)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-def test_solve_annealing_PUSO_discrete_no_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    H_noncon.solve(strategy='annealing_PUSO',
-                   ref_state=None,
-                   num_anneals=1_000)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-
-def test_solve_annealing_QUSO_discrete_no_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    H_noncon.solve(strategy='annealing_QUSO',
-                   ref_state=None,
-                   num_anneals=1_000)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-
 def test_solve_full_reference_state():
     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
     reference = noncon_problem['reference_state']
 
     H_noncon.solve(strategy='brute_force',
-                   ref_state=reference,
-                   num_anneals=None)
+                   ref_state=reference)
     assert np.isclose(H_noncon.energy, noncon_problem['E'])
 
 
@@ -320,75 +281,10 @@ def test_solve_brute_force_discrete_partial_ref():
     with pytest.warns():
         # capture warning when Z stabilizers measured give zero expec value
         H_noncon.solve(strategy='brute_force',
-                       ref_state=partial_reference_state,
-                       num_anneals=None)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-
-# def test_solve_binary_relaxation_partial_ref():
-#     H_noncon = PauliwordOp.from_dictionary(noncon_problem['H_dict'])
-#     H_noncon = NoncontextualOp.from_PauliwordOp(H_noncon)
-#
-#     partial_reference_state = noncon_problem['partial_reference_state']
-#
-#     H_noncon.solve(strategy='binary_relaxation',
-#                       ref_state=partial_reference_state,
-#                       discrete_optimization_order=None,
-#                       num_anneals=None)
-#     assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-
-def test_solve_brute_force_PUSO_discrete_partial_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    partial_reference_state = noncon_problem['partial_reference_state']
-
-    with pytest.warns():
-        # capture warning when Z stabilizers measured give zero expec value
-        H_noncon.solve(strategy='brute_force_PUSO',
-                       ref_state=partial_reference_state,
-                       num_anneals=None)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-
-def test_solve_brute_force_QUSO_discrete_partial_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    partial_reference_state = noncon_problem['partial_reference_state']
-
-    with pytest.warns():
-        # capture warning when Z stabilizers measured give zero expec value
-        H_noncon.solve(strategy='brute_force_QUSO',
-                       ref_state=partial_reference_state,
-                       num_anneals=None)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
-
-def test_solve_annealing_PUSO_discrete_partial_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    partial_reference_state = noncon_problem['partial_reference_state']
-
-    with pytest.warns():
-        # capture warning when Z stabilizers measured give zero expec value
-        H_noncon.solve(strategy='annealing_PUSO',
-                       ref_state=partial_reference_state,
-                       num_anneals=1_000)
+                       ref_state=partial_reference_state)
     assert np.isclose(H_noncon.energy, noncon_problem['E'])
 
 
-def test_solve_annealing_QUSO_discrete_partial_ref():
-    H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-    partial_reference_state = noncon_problem['partial_reference_state']
-
-    with pytest.warns():
-        # capture warning when Z stabilizers measured give zero expec value
-        H_noncon.solve(strategy='annealing_QUSO',
-                       ref_state=partial_reference_state,
-                       num_anneals=1_000)
-    assert np.isclose(H_noncon.energy, noncon_problem['E'])
-
 def test_init_Hnoncon1():
     """
     Check error is thrown if a contextual operator symplectic matrix is used as input to NoncontextualOp
@@ -401,193 +297,14 @@ def test_init_Hnoncon1():
     with pytest.raises(AssertionError):
         NoncontextualOp(symp_matrix, coeff_vec)
 
-
-# def test_get_qaoa_qubo_no_reference():
-#     """
-#     checks qaoa qubo with no reference state (compare exact brute force approach)
-#     """
-#     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-#     QAOA_dict = H_noncon.get_qaoa(ref_state=None, type='qubo')
-
-#     for key in QAOA_dict.keys():
-#         exp = QAOA_dict[key]
-#         qaoa_H = exp['H']
-
-#         e_qaoq, gs_qaoa = exact_gs_energy(qaoa_H.to_sparse_matrix)
-
-#         # brute force check ground state for a fixed r_vec!!!
-#         NC_solver = NoncontextualSolver(H_noncon)
-#         NC_solver.metheod = 'brute_force'
-#         NC_solver.x = 'Q'
-
-#         energy, nu_vec, = NC_solver.energy_xUSO()
-
-#         assert np.isclose(e_qaoq, energy)
-
-
-# def test_get_qaoa_qubo_with_full_reference():
-#     """
-#     checks qaoa qubo with full reference state (compare exact brute force approach)
-#     """
-#     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-#     reference = noncon_problem['reference_state']
-
-#     H_noncon.symmetry_generators.update_sector(reference)
-#     ev_assignment = H_noncon.symmetry_generators.coeff_vec
-#     fixed_ev_mask = ev_assignment != 0
-#     fixed_eigvals = (ev_assignment[fixed_ev_mask]).astype(int)
-
-#     QAOA_dict = H_noncon.get_qaoa(ref_state=reference, type='qubo')
-
-#     for key in QAOA_dict.keys():
-#         exp = QAOA_dict[key]
-#         qaoa_H = exp['H']
-
-#         e_qaoq, gs_qaoa = exact_gs_energy(qaoa_H.to_sparse_matrix)
-
-#         # brute force check ground state for a fixed r_vec!!!
-#         NC_solver = NoncontextualSolver(H_noncon,
-#                                         fixed_ev_mask,
-#                                         fixed_eigvals)
-#         NC_solver.metheod = 'brute_force'
-#         NC_solver.x = 'Q'
-
-#         energy, nu_vec, _ = NC_solver._energy_xUSO(exp['r_vec'])
-
-#         assert np.isclose(e_qaoq, energy)
-
-
-# def test_get_qaoa_qubo_with_partial_reference():
-#     """
-#     checks qaoa qubo with partial reference state (compare exact brute force approach)
-#     """
-#     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-#     reference = noncon_problem['partial_reference_state']
-
-#     with pytest.warns():
-#         # capture warning when Z stabilizers measured give zero expec value
-#         H_noncon.symmetry_generators.update_sector(reference)
-
-#     ev_assignment = H_noncon.symmetry_generators.coeff_vec
-#     fixed_ev_mask = ev_assignment != 0
-#     fixed_eigvals = (ev_assignment[fixed_ev_mask]).astype(int)
-
-#     with pytest.warns():
-#         # capture warning when Z stabilizers measured give zero expec value
-#         QAOA_dict = H_noncon.get_qaoa(ref_state=reference, type='qubo')
-
-#     for key in QAOA_dict.keys():
-#         exp = QAOA_dict[key]
-#         qaoa_H = exp['H']
-
-#         e_qaoq, gs_qaoa = exact_gs_energy(qaoa_H.to_sparse_matrix)
-
-#         # brute force check ground state for a fixed r_vec!!!
-#         NC_solver = NoncontextualSolver(H_noncon, fixed_ev_mask, fixed_eigvals)
-#         NC_solver.metheod = 'brute_force'
-#         NC_solver.x = 'Q'
-
-#         energy, nu_vec, _ = NC_solver._energy_xUSO(exp['r_vec'])
-
-#         assert np.isclose(e_qaoq, energy)
-
-
-# def test_get_qaoa_pubo_no_reference():
-#     """
-#     checks qaoa pubo with no reference state (compare exact brute force approach)
-#     """
-#     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-    
-#     QAOA_dict = H_noncon.get_qaoa(ref_state=None, type='pubo')
-
-#     for key in QAOA_dict.keys():
-#         exp = QAOA_dict[key]
-#         qaoa_H = exp['H']
-
-#         e_qaoq, gs_qaoa = exact_gs_energy(qaoa_H.to_sparse_matrix)
-
-#         # brute force check ground state for a fixed r_vec!!!
-#         NC_solver = NoncontextualSolver(H_noncon)
-#         NC_solver.metheod = 'brute_force'
-#         NC_solver.x = 'Q'
-
-#         energy, nu_vec, _ = NC_solver._energy_xUSO(exp['r_vec'])
-
-#         assert np.isclose(e_qaoq, energy)
-
-
-# def test_get_qaoa_pubo_with_full_reference():
-#     """
-#     checks qaoa pubo with full reference state (compare exact brute force approach)
-#     """
-#     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-#     reference = noncon_problem['reference_state']
-
-#     H_noncon.symmetry_generators.update_sector(reference)
-#     ev_assignment = H_noncon.symmetry_generators.coeff_vec
-#     fixed_ev_mask = ev_assignment != 0
-#     fixed_eigvals = (ev_assignment[fixed_ev_mask]).astype(int)
-
-#     QAOA_dict = H_noncon.get_qaoa(ref_state=reference, type='pubo')
-
-#     for key in QAOA_dict.keys():
-#         exp = QAOA_dict[key]
-#         qaoa_H = exp['H']
-
-#         e_qaoq, gs_qaoa = exact_gs_energy(qaoa_H.to_sparse_matrix)
-
-#         # brute force check ground state for a fixed r_vec!!!
-#         NC_solver = NoncontextualSolver(H_noncon,
-#                                         fixed_ev_mask,
-#                                         fixed_eigvals)
-#         NC_solver.metheod = 'brute_force'
-#         NC_solver.x = 'Q'
-
-#         energy, nu_vec, _ = NC_solver._energy_xUSO(exp['r_vec'])
-
-#         assert np.isclose(e_qaoq, energy)
-
-
-# def test_get_qaoa_pubo_with_partial_reference():
-#     """
-#     checks qaoa pubo with partial reference state (compare exact brute force approach)
-#     """
-#     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-#     reference = noncon_problem['partial_reference_state']
-
-#     with pytest.warns():
-#         # capture warning when Z stabilizers measured give zero expec value
-#         H_noncon.symmetry_generators.update_sector(reference)
-
-#     ev_assignment = H_noncon.symmetry_generators.coeff_vec
-#     fixed_ev_mask = ev_assignment != 0
-#     fixed_eigvals = (ev_assignment[fixed_ev_mask]).astype(int)
-
-#     with pytest.warns():
-#         # capture warning when Z stabilizers measured give zero expec value
-#         QAOA_dict = H_noncon.get_qaoa(ref_state=reference, type='pubo')
-
-#     for key in QAOA_dict.keys():
-#         exp = QAOA_dict[key]
-#         qaoa_H = exp['H']
-
-#         e_qaoq, gs_qaoa = exact_gs_energy(qaoa_H.to_sparse_matrix)
-
-#         # brute force check ground state for a fixed r_vec!!!
-#         NC_solver = NoncontextualSolver(H_noncon, fixed_ev_mask, fixed_eigvals)
-#         NC_solver.metheod = 'brute_force'
-#         NC_solver.x = 'Q'
-
-#         energy, nu_vec, _ = NC_solver._energy_xUSO(exp['r_vec'])
-
-#         assert np.isclose(e_qaoq, energy)
-
-
-# def test_get_qaoa_error():
-#     """
-#     checks for type if type is not pubo or qubo
-#     """
-#     H_noncon = NoncontextualOp.from_dictionary(noncon_problem['H_dict'])
-#     with pytest.raises(AssertionError):
-#         H_noncon.get_qaoa(type='INCORRECT_STRING')
\ No newline at end of file
+def test_noncon_state():
+    """
+    Check that state generated by NoncontexualOp matches the noncontextual energy
+    """
+    for _ in range(10):
+        Hnc = NoncontextualOp.random(6)
+        Hnc.solve()
+        state, nu = Hnc.noncon_state(UP_method='LCU')
+        assert np.isclose(Hnc.expval(state), Hnc.energy)
+        state_rot, nu = Hnc.noncon_state(UP_method='seq_rot')
+        assert np.isclose(Hnc.expval(state_rot), Hnc.energy)
\ No newline at end of file