diff --git a/poetry.lock b/poetry.lock
index 21b8301568..d8a7e61038 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -678,63 +678,63 @@ test = ["altair", "baytune", "chocolate", "dask", "distributed", "kahypar", "mat
 
 [[package]]
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 ]
 
 [package.extras]
-protobuf = ["grpcio-tools (>=1.62.1)"]
+protobuf = ["grpcio-tools (>=1.62.2)"]
 
 [[package]]
 name = "grpcio-status"
-version = "1.62.1"
+version = "1.62.2"
 description = "Status proto mapping for gRPC"
 optional = false
 python-versions = ">=3.6"
 files = [
-    {file = "grpcio-status-1.62.1.tar.gz", hash = "sha256:3431c8abbab0054912c41df5c72f03ddf3b7a67be8a287bb3c18a3456f96ff77"},
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+    {file = "grpcio-status-1.62.2.tar.gz", hash = "sha256:62e1bfcb02025a1cd73732a2d33672d3e9d0df4d21c12c51e0bbcaf09bab742a"},
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 ]
 
 [package.dependencies]
 googleapis-common-protos = ">=1.5.5"
-grpcio = ">=1.62.1"
+grpcio = ">=1.62.2"
 protobuf = ">=4.21.6"
 
 [[package]]
@@ -1797,6 +1797,20 @@ files = [
     {file = "iniconfig-2.0.0.tar.gz", hash = "sha256:2d91e135bf72d31a410b17c16da610a82cb55f6b0477d1a902134b24a455b8b3"},
 ]
 
+[[package]]
+name = "intel-openmp"
+version = "2021.4.0"
+description = "Intel OpenMP* Runtime Library"
+optional = false
+python-versions = "*"
+files = [
+    {file = "intel_openmp-2021.4.0-py2.py3-none-macosx_10_15_x86_64.macosx_11_0_x86_64.whl", hash = "sha256:41c01e266a7fdb631a7609191709322da2bbf24b252ba763f125dd651bcc7675"},
+    {file = "intel_openmp-2021.4.0-py2.py3-none-manylinux1_i686.whl", hash = "sha256:3b921236a38384e2016f0f3d65af6732cf2c12918087128a9163225451e776f2"},
+    {file = "intel_openmp-2021.4.0-py2.py3-none-manylinux1_x86_64.whl", hash = "sha256:e2240ab8d01472fed04f3544a878cda5da16c26232b7ea1b59132dbfb48b186e"},
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+]
+
 [[package]]
 name = "ipython"
 version = "8.18.1"
@@ -2013,13 +2027,13 @@ files = [
 
 [[package]]
 name = "keras"
-version = "3.2.1"
+version = "3.3.3"
 description = "Multi-backend Keras."
 optional = false
 python-versions = ">=3.9"
 files = [
-    {file = "keras-3.2.1-py3-none-any.whl", hash = "sha256:0be1e89b041e697be562d8422ecb958ee5481acfc089913200926c561d258a03"},
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 ]
 
 [package.dependencies]
@@ -2380,13 +2394,13 @@ python-dateutil = ">=2.7"
 
 [[package]]
 name = "matplotlib-inline"
-version = "0.1.6"
+version = "0.1.7"
 description = "Inline Matplotlib backend for Jupyter"
 optional = false
-python-versions = ">=3.5"
+python-versions = ">=3.8"
 files = [
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+    {file = "matplotlib_inline-0.1.7.tar.gz", hash = "sha256:8423b23ec666be3d16e16b60bdd8ac4e86e840ebd1dd11a30b9f117f2fa0ab90"},
 ]
 
 [package.dependencies]
@@ -2425,6 +2439,24 @@ files = [
     {file = "mistune-3.0.2.tar.gz", hash = "sha256:fc7f93ded930c92394ef2cb6f04a8aabab4117a91449e72dcc8dfa646a508be8"},
 ]
 
+[[package]]
+name = "mkl"
+version = "2021.4.0"
+description = "Intel® oneAPI Math Kernel Library"
+optional = false
+python-versions = "*"
+files = [
+    {file = "mkl-2021.4.0-py2.py3-none-macosx_10_15_x86_64.macosx_11_0_x86_64.whl", hash = "sha256:67460f5cd7e30e405b54d70d1ed3ca78118370b65f7327d495e9c8847705e2fb"},
+    {file = "mkl-2021.4.0-py2.py3-none-manylinux1_i686.whl", hash = "sha256:636d07d90e68ccc9630c654d47ce9fdeb036bb46e2b193b3a9ac8cfea683cce5"},
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+    {file = "mkl-2021.4.0-py2.py3-none-win_amd64.whl", hash = "sha256:ceef3cafce4c009dd25f65d7ad0d833a0fbadc3d8903991ec92351fe5de1e718"},
+]
+
+[package.dependencies]
+intel-openmp = "==2021.*"
+tbb = "==2021.*"
+
 [[package]]
 name = "ml-dtypes"
 version = "0.3.2"
@@ -2546,13 +2578,13 @@ files = [
 
 [[package]]
 name = "namex"
-version = "0.0.7"
+version = "0.0.8"
 description = "A simple utility to separate the implementation of your Python package and its public API surface."
 optional = false
 python-versions = "*"
 files = [
-    {file = "namex-0.0.7-py3-none-any.whl", hash = "sha256:8a4f062945f405d77cb66b907f16aa2fd83681945e998be840eb6c4154d40108"},
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+    {file = "namex-0.0.8-py3-none-any.whl", hash = "sha256:7ddb6c2bb0e753a311b7590f84f6da659dd0c05e65cb89d519d54c0a250c0487"},
+    {file = "namex-0.0.8.tar.gz", hash = "sha256:32a50f6c565c0bb10aa76298c959507abdc0e850efe085dc38f3440fcb3aa90b"},
 ]
 
 [[package]]
@@ -2579,13 +2611,13 @@ test = ["flaky", "ipykernel (>=6.19.3)", "ipython", "ipywidgets", "nbconvert (>=
 
 [[package]]
 name = "nbconvert"
-version = "7.16.3"
+version = "7.16.4"
 description = "Converting Jupyter Notebooks (.ipynb files) to other formats.  Output formats include asciidoc, html, latex, markdown, pdf, py, rst, script.  nbconvert can be used both as a Python library (`import nbconvert`) or as a command line tool (invoked as `jupyter nbconvert ...`)."
 optional = false
 python-versions = ">=3.8"
 files = [
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-    {file = "nbconvert-7.16.3.tar.gz", hash = "sha256:a6733b78ce3d47c3f85e504998495b07e6ea9cf9bf6ec1c98dda63ec6ad19142"},
+    {file = "nbconvert-7.16.4-py3-none-any.whl", hash = "sha256:05873c620fe520b6322bf8a5ad562692343fe3452abda5765c7a34b7d1aa3eb3"},
+    {file = "nbconvert-7.16.4.tar.gz", hash = "sha256:86ca91ba266b0a448dc96fa6c5b9d98affabde2867b363258703536807f9f7f4"},
 ]
 
 [package.dependencies]
@@ -2607,9 +2639,9 @@ tinycss2 = "*"
 traitlets = ">=5.1"
 
 [package.extras]
-all = ["nbconvert[docs,qtpdf,serve,test,webpdf]"]
+all = ["flaky", "ipykernel", "ipython", "ipywidgets (>=7.5)", "myst-parser", "nbsphinx (>=0.2.12)", "playwright", "pydata-sphinx-theme", "pyqtwebengine (>=5.15)", "pytest (>=7)", "sphinx (==5.0.2)", "sphinxcontrib-spelling", "tornado (>=6.1)"]
 docs = ["ipykernel", "ipython", "myst-parser", "nbsphinx (>=0.2.12)", "pydata-sphinx-theme", "sphinx (==5.0.2)", "sphinxcontrib-spelling"]
-qtpdf = ["nbconvert[qtpng]"]
+qtpdf = ["pyqtwebengine (>=5.15)"]
 qtpng = ["pyqtwebengine (>=5.15)"]
 serve = ["tornado (>=6.1)"]
 test = ["flaky", "ipykernel", "ipywidgets (>=7.5)", "pytest (>=7)"]
@@ -2863,12 +2895,13 @@ nvidia-nvjitlink-cu12 = "*"
 
 [[package]]
 name = "nvidia-nccl-cu12"
-version = "2.19.3"
+version = "2.20.5"
 description = "NVIDIA Collective Communication Library (NCCL) Runtime"
 optional = false
 python-versions = ">=3"
 files = [
-    {file = "nvidia_nccl_cu12-2.19.3-py3-none-manylinux1_x86_64.whl", hash = "sha256:a9734707a2c96443331c1e48c717024aa6678a0e2a4cb66b2c364d18cee6b48d"},
+    {file = "nvidia_nccl_cu12-2.20.5-py3-none-manylinux2014_aarch64.whl", hash = "sha256:1fc150d5c3250b170b29410ba682384b14581db722b2531b0d8d33c595f33d01"},
+    {file = "nvidia_nccl_cu12-2.20.5-py3-none-manylinux2014_x86_64.whl", hash = "sha256:057f6bf9685f75215d0c53bf3ac4a10b3e6578351de307abad9e18a99182af56"},
 ]
 
 [[package]]
@@ -3023,6 +3056,7 @@ files = [
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+    {file = "pandas-2.2.2-cp312-cp312-macosx_11_0_arm64.whl", hash = "sha256:e9b79011ff7a0f4b1d6da6a61aa1aa604fb312d6647de5bad20013682d1429ce"},
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     {file = "pandas-2.2.2-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:eee3a87076c0756de40b05c5e9a6069c035ba43e8dd71c379e68cab2c20f16ad"},
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@@ -3220,28 +3254,29 @@ xmp = ["defusedxml"]
 
 [[package]]
 name = "platformdirs"
-version = "4.2.0"
-description = "A small Python package for determining appropriate platform-specific dirs, e.g. a \"user data dir\"."
+version = "4.2.1"
+description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`."
 optional = false
 python-versions = ">=3.8"
 files = [
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+    {file = "pyzmq-26.0.2-pp39-pypy39_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:88896b1b4817d7b2fe1ec7205c4bbe07bf5d92fb249bf2d226ddea8761996068"},
+    {file = "pyzmq-26.0.2-pp39-pypy39_pp73-manylinux_2_28_x86_64.whl", hash = "sha256:18dfffe23751edee917764ffa133d5d3fef28dfd1cf3adebef8c90bc854c74c4"},
+    {file = "pyzmq-26.0.2-pp39-pypy39_pp73-win_amd64.whl", hash = "sha256:6926dd14cfe6967d3322640b6d5c3c3039db71716a5e43cca6e3b474e73e0b36"},
+    {file = "pyzmq-26.0.2.tar.gz", hash = "sha256:f0f9bb370449158359bb72a3e12c658327670c0ffe6fbcd1af083152b64f9df0"},
 ]
 
 [package.dependencies]
@@ -4018,14 +4048,14 @@ develop = false
 [package.dependencies]
 numba = ">=0.59.0"
 psutil = "^5.9.5"
-qibo = {git = "https://github.com/qiboteam/qibo.git", branch = "py3.12"}
+qibo = {git = "https://github.com/qiboteam/qibo.git", branch = "clifford_simulator_numba"}
 scipy = "^1.10.1"
 
 [package.source]
 type = "git"
 url = "https://github.com/qiboteam/qibojit.git"
-reference = "py3.12"
-resolved_reference = "ed37930c0f7cc97d8d0d6c7fe844f46e5ad935cf"
+reference = "clifford_simulator_numba"
+resolved_reference = "31f843d9c40dbf3231bd5be7e2daf2b2e329c818"
 
 [[package]]
 name = "qibotn"
@@ -4037,7 +4067,7 @@ files = []
 develop = false
 
 [package.dependencies]
-qibo = {git = "https://github.com/qiboteam/qibo.git", branch = "py3.12"}
+qibo = {git = "https://github.com/qiboteam/qibo.git"}
 quimb = {version = "^1.6.0", extras = ["tensor"]}
 
 [package.extras]
@@ -4046,8 +4076,8 @@ cuda = ["cupy-cuda11x (>=11.6.0,<12.0.0)", "cuquantum-python-cu11 (>=23.3.0,<24.
 [package.source]
 type = "git"
 url = "https://github.com/qiboteam/qibotn.git"
-reference = "py3.12"
-resolved_reference = "699547164a788dcd97ffbe9bd661ead7538abda3"
+reference = "HEAD"
+resolved_reference = "6814fdbe19df19678299f9a4f662410256762ac1"
 
 [[package]]
 name = "quimb"
@@ -4368,18 +4398,18 @@ test = ["array-api-strict", "asv", "gmpy2", "hypothesis (>=6.30)", "mpmath", "po
 
 [[package]]
 name = "setuptools"
-version = "69.2.0"
+version = "69.5.1"
 description = "Easily download, build, install, upgrade, and uninstall Python packages"
 optional = false
 python-versions = ">=3.8"
 files = [
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+    {file = "setuptools-69.5.1-py3-none-any.whl", hash = "sha256:c636ac361bc47580504644275c9ad802c50415c7522212252c033bd15f301f32"},
+    {file = "setuptools-69.5.1.tar.gz", hash = "sha256:6c1fccdac05a97e598fb0ae3bbed5904ccb317337a51139dcd51453611bbb987"},
 ]
 
 [package.extras]
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-testing = ["build[virtualenv]", "filelock (>=3.4.0)", "importlib-metadata", "ini2toml[lite] (>=0.9)", "jaraco.develop (>=7.21)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "mypy (==1.9)", "packaging (>=23.2)", "pip (>=19.1)", "pytest (>=6)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-home (>=0.5)", "pytest-mypy (>=0.9.1)", "pytest-perf", "pytest-ruff (>=0.2.1)", "pytest-timeout", "pytest-xdist (>=3)", "tomli", "tomli-w (>=1.0.0)", "virtualenv (>=13.0.0)", "wheel"]
+docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "pygments-github-lexers (==0.0.5)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-favicon", "sphinx-inline-tabs", "sphinx-lint", "sphinx-notfound-page (>=1,<2)", "sphinx-reredirects", "sphinxcontrib-towncrier"]
+testing = ["build[virtualenv]", "filelock (>=3.4.0)", "importlib-metadata", "ini2toml[lite] (>=0.9)", "jaraco.develop (>=7.21)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "mypy (==1.9)", "packaging (>=23.2)", "pip (>=19.1)", "pytest (>=6,!=8.1.1)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-home (>=0.5)", "pytest-mypy", "pytest-perf", "pytest-ruff (>=0.2.1)", "pytest-timeout", "pytest-xdist (>=3)", "tomli", "tomli-w (>=1.0.0)", "virtualenv (>=13.0.0)", "wheel"]
 testing-integration = ["build[virtualenv] (>=1.0.3)", "filelock (>=3.4.0)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "packaging (>=23.2)", "pytest", "pytest-enabler", "pytest-xdist", "tomli", "virtualenv (>=13.0.0)", "wheel"]
 
 [[package]]
@@ -4723,6 +4753,19 @@ files = [
 [package.extras]
 widechars = ["wcwidth"]
 
+[[package]]
+name = "tbb"
+version = "2021.12.0"
+description = "Intel® oneAPI Threading Building Blocks (oneTBB)"
+optional = false
+python-versions = "*"
+files = [
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+]
+
 [[package]]
 name = "tenacity"
 version = "8.2.3"
@@ -4874,24 +4917,24 @@ tests = ["pytest", "pytest-cov"]
 
 [[package]]
 name = "threadpoolctl"
-version = "3.4.0"
+version = "3.5.0"
 description = "threadpoolctl"
 optional = false
 python-versions = ">=3.8"
 files = [
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 ]
 
 [[package]]
 name = "tinycss2"
-version = "1.2.1"
+version = "1.3.0"
 description = "A tiny CSS parser"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
 files = [
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 ]
 
 [package.dependencies]
@@ -4899,7 +4942,7 @@ webencodings = ">=0.4"
 
 [package.extras]
 doc = ["sphinx", "sphinx_rtd_theme"]
-test = ["flake8", "isort", "pytest"]
+test = ["pytest", "ruff"]
 
 [[package]]
 name = "toml"
@@ -4947,42 +4990,38 @@ files = [
 
 [[package]]
 name = "torch"
-version = "2.2.2"
+version = "2.3.0"
 description = "Tensors and Dynamic neural networks in Python with strong GPU acceleration"
 optional = false
 python-versions = ">=3.8.0"
 files = [
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 ]
 
 [package.dependencies]
 filelock = "*"
 fsspec = "*"
 jinja2 = "*"
+mkl = {version = ">=2021.1.1,<=2021.4.0", markers = "platform_system == \"Windows\""}
 networkx = "*"
 nvidia-cublas-cu12 = {version = "12.1.3.1", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
 nvidia-cuda-cupti-cu12 = {version = "12.1.105", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
@@ -4993,10 +5032,10 @@ nvidia-cufft-cu12 = {version = "11.0.2.54", markers = "platform_system == \"Linu
 nvidia-curand-cu12 = {version = "10.3.2.106", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
 nvidia-cusolver-cu12 = {version = "11.4.5.107", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
 nvidia-cusparse-cu12 = {version = "12.1.0.106", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
-nvidia-nccl-cu12 = {version = "2.19.3", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
+nvidia-nccl-cu12 = {version = "2.20.5", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
 nvidia-nvtx-cu12 = {version = "12.1.105", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\""}
 sympy = "*"
-triton = {version = "2.2.0", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\" and python_version < \"3.12\""}
+triton = {version = "2.3.0", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\" and python_version < \"3.12\""}
 typing-extensions = ">=4.8.0"
 
 [package.extras]
@@ -5045,32 +5084,32 @@ telegram = ["requests"]
 
 [[package]]
 name = "traitlets"
-version = "5.14.2"
+version = "5.14.3"
 description = "Traitlets Python configuration system"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "traitlets-5.14.2-py3-none-any.whl", hash = "sha256:fcdf85684a772ddeba87db2f398ce00b40ff550d1528c03c14dbf6a02003cd80"},
-    {file = "traitlets-5.14.2.tar.gz", hash = "sha256:8cdd83c040dab7d1dee822678e5f5d100b514f7b72b01615b26fc5718916fdf9"},
+    {file = "traitlets-5.14.3-py3-none-any.whl", hash = "sha256:b74e89e397b1ed28cc831db7aea759ba6640cb3de13090ca145426688ff1ac4f"},
+    {file = "traitlets-5.14.3.tar.gz", hash = "sha256:9ed0579d3502c94b4b3732ac120375cda96f923114522847de4b3bb98b96b6b7"},
 ]
 
 [package.extras]
 docs = ["myst-parser", "pydata-sphinx-theme", "sphinx"]
-test = ["argcomplete (>=3.0.3)", "mypy (>=1.7.0)", "pre-commit", "pytest (>=7.0,<8.1)", "pytest-mock", "pytest-mypy-testing"]
+test = ["argcomplete (>=3.0.3)", "mypy (>=1.7.0)", "pre-commit", "pytest (>=7.0,<8.2)", "pytest-mock", "pytest-mypy-testing"]
 
 [[package]]
 name = "triton"
-version = "2.2.0"
+version = "2.3.0"
 description = "A language and compiler for custom Deep Learning operations"
 optional = false
 python-versions = "*"
 files = [
-    {file = "triton-2.2.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:a2294514340cfe4e8f4f9e5c66c702744c4a117d25e618bd08469d0bfed1e2e5"},
-    {file = "triton-2.2.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:da58a152bddb62cafa9a857dd2bc1f886dbf9f9c90a2b5da82157cd2b34392b0"},
-    {file = "triton-2.2.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:0af58716e721460a61886668b205963dc4d1e4ac20508cc3f623aef0d70283d5"},
-    {file = "triton-2.2.0-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:e8fe46d3ab94a8103e291bd44c741cc294b91d1d81c1a2888254cbf7ff846dab"},
-    {file = "triton-2.2.0-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:b8ce26093e539d727e7cf6f6f0d932b1ab0574dc02567e684377630d86723ace"},
-    {file = "triton-2.2.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:227cc6f357c5efcb357f3867ac2a8e7ecea2298cd4606a8ba1e931d1d5a947df"},
+    {file = "triton-2.3.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:5ce4b8ff70c48e47274c66f269cce8861cf1dc347ceeb7a67414ca151b1822d8"},
+    {file = "triton-2.3.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:3c3d9607f85103afdb279938fc1dd2a66e4f5999a58eb48a346bd42738f986dd"},
+    {file = "triton-2.3.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:218d742e67480d9581bafb73ed598416cc8a56f6316152e5562ee65e33de01c0"},
+    {file = "triton-2.3.0-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:381ec6b3dac06922d3e4099cfc943ef032893b25415de295e82b1a82b0359d2c"},
+    {file = "triton-2.3.0-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:038e06a09c06a164fef9c48de3af1e13a63dc1ba3c792871e61a8e79720ea440"},
+    {file = "triton-2.3.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:6d8f636e0341ac348899a47a057c3daea99ea7db31528a225a3ba4ded28ccc65"},
 ]
 
 [package.dependencies]
@@ -5336,4 +5375,4 @@ torch = ["torch"]
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.9,<3.13"
-content-hash = "b732622c31bc0de1b69f061d6be43ecb091299e1947bba1ce01175d34c4ad808"
+content-hash = "a81e1a9e6c7c67df5c8a2ac51a6af89d110b474c6a39d1e15c2a679f38ea8389"
diff --git a/pyproject.toml b/pyproject.toml
index a2832ffe5b..d968fe05c4 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -67,10 +67,10 @@ scikit-learn = "^1.2.1"
 pytest-cov = "^4.0.0"
 pylint = "^3.1.0"
 matplotlib = "^3.7.0"
-qibojit = { git = "https://github.com/qiboteam/qibojit.git", branch = "py3.12" }
-qibotn = { git = "https://github.com/qiboteam/qibotn.git", branch = "py3.12" }
 tensorflow = { version = "^2.16.1", markers = "sys_platform == 'linux'" }
 torch = "^2.1.1"
+qibojit = { git = "https://github.com/qiboteam/qibojit.git", branch="clifford_simulator_numba" }
+qibotn = { git = "https://github.com/qiboteam/qibotn.git" }
 stim = "^1.12.0"
 
 [tool.poe.tasks]
@@ -88,9 +88,8 @@ optional = true
 [tool.poetry.group.cuda11.dependencies]
 cupy-cuda11x = "^12.0.0"
 cuquantum-python-cu11 = "^23.3.0"
-qibojit = { git = "https://github.com/qiboteam/qibojit.git", branch = "py3.12" }
-qibotn = { git = "https://github.com/qiboteam/qibotn.git", branch = "py3.12" }
-
+qibojit = { git = "https://github.com/qiboteam/qibojit.git", branch="clifford_simulator_numba" }
+qibotn = { git = "https://github.com/qiboteam/qibotn.git" }
 
 [tool.poetry.group.cuda12]
 optional = true
@@ -98,8 +97,8 @@ optional = true
 [tool.poetry.group.cuda12.dependencies]
 cupy-cuda12x = "^12.0.0"
 cuquantum-python-cu12 = "^23.3.0"
-qibojit = { git = "https://github.com/qiboteam/qibojit.git", branch = "py3.12" }
-qibotn = { git = "https://github.com/qiboteam/qibotn.git", branch = "py3.12" }
+qibojit = { git = "https://github.com/qiboteam/qibojit.git", branch="clifford_simulator_numba" }
+qibotn = { git = "https://github.com/qiboteam/qibotn.git" }
 
 [tool.poetry.extras]
 tensorflow = ["tensorflow"]
diff --git a/src/qibo/backends/_clifford_operations.py b/src/qibo/backends/_clifford_operations.py
index 4423eb03de..9030123e57 100644
--- a/src/qibo/backends/_clifford_operations.py
+++ b/src/qibo/backends/_clifford_operations.py
@@ -1,4 +1,4 @@
-from functools import reduce
+from functools import cache, reduce
 
 import numpy as np
 from scipy import sparse
@@ -329,7 +329,9 @@ def ECR(symplectic_matrix, control_q, target_q, nqubits):
     return X(symplectic_matrix, control_q, nqubits)
 
 
-def _exponent(x1, z1, x2, z2):
+def _exponent(
+    x1: np.ndarray, z1: np.ndarray, x2: np.ndarray, z2: np.ndarray
+) -> np.ndarray:
     """Helper function that computes the exponent to which i is raised for the product of the x and z paulis encoded in the symplectic matrix. This is used in _rowsum. The computation is performed parallely over the separated paulis x1[i], z1[i], x2[i] and z2[i].
 
     Args:
@@ -341,13 +343,7 @@ def _exponent(x1, z1, x2, z2):
     Returns:
         (np.array): The calculated exponents.
     """
-    x1_ = x1.astype(np.int8)
-    x2_ = x2.astype(np.int8)
-    z1_ = z1.astype(np.int8)
-    z2_ = z2.astype(np.int8)
-    return (
-        2 * (x1_ * x2_ * (z2_ - z1_) + z1_ * z2_ * (x1_ - x2_)) - x1_ * z2_ + x2_ * z1_
-    )
+    return 2 * (x1 * x2 * (z2 - z1) + z1 * z2 * (x1 - x2)) - x1 * z2 + x2 * z1
 
 
 def _rowsum(symplectic_matrix, h, i, nqubits, determined=False):
@@ -362,16 +358,16 @@ def _rowsum(symplectic_matrix, h, i, nqubits, determined=False):
     Returns:
         (np.array): The updated symplectic matrix.
     """
-    xi, xh = symplectic_matrix[i, :nqubits], symplectic_matrix[h, :nqubits]
-    zi, zh = symplectic_matrix[i, nqubits:-1], symplectic_matrix[h, nqubits:-1]
+    xi, zi = symplectic_matrix[i, :nqubits], symplectic_matrix[i, nqubits:-1]
+    xh, zh = symplectic_matrix[h, :nqubits], symplectic_matrix[h, nqubits:-1]
     exponents = _exponent(xi, zi, xh, zh)
     ind = (
         2 * symplectic_matrix[h, -1]
         + 2 * symplectic_matrix[i, -1]
         + np.sum(exponents, axis=-1)
     ) % 4 == 0
-    r = np.ones(h.shape[0], dtype=bool)
-    r[ind] = False
+    r = np.ones(h.shape[0], dtype=np.uint8)
+    r[ind] = 0
 
     xi_xh = xi ^ xh
     zi_zh = zi ^ zh
@@ -390,57 +386,108 @@ def _rowsum(symplectic_matrix, h, i, nqubits, determined=False):
 
 
 def _determined_outcome(state, q, nqubits):
-    state[-1, :] = False
+    state[-1, :] = 0
     idx = (state[:nqubits, q].nonzero()[0] + nqubits).astype(np.uint)
+    state = _pack_for_measurements(state, nqubits)
     state = _rowsum(
         state,
         2 * nqubits * np.ones(idx.shape, dtype=np.uint),
-        idx.astype(np.uint),
-        nqubits,
+        idx,
+        _packed_size(nqubits),
         True,
     )
-    return state, np.uint(state[-1, -1])
+    state = _unpack_for_measurements(state, nqubits)
+    return state, state[-1, -1]
 
 
 def _random_outcome(state, p, q, nqubits):
     p = p[0] + nqubits
     tmp = state[p, q].copy()
-    state[p, q] = False
+    state[p, q] = 0
     h = state[:-1, q].nonzero()[0]
     state[p, q] = tmp
     if h.shape[0] > 0:
+        state = _pack_for_measurements(state, nqubits)
         state = _rowsum(
             state,
             h.astype(np.uint),
             p * np.ones(h.shape[0], dtype=np.uint),
-            nqubits,
+            _packed_size(nqubits),
             False,
         )
+        state = _unpack_for_measurements(state, nqubits)
     state[p - nqubits, :] = state[p, :]
     outcome = np.random.randint(2, size=1).item()
-    state[p, :] = False
+    state[p, :] = 0
     state[p, -1] = outcome
-    state[p, nqubits + q] = True
+    state[p, nqubits + q] = 1
     return state, outcome
 
 
-def _get_p(state, q, nqubits):
-    return state[nqubits:-1, q].nonzero()[0]
+@cache
+def _dim(nqubits):
+    """Returns the dimension of the symplectic matrix for a given number of qubits."""
+    return 2 * nqubits + 1
+
+
+@cache
+def _packed_size(n):
+    """Returns the size of an array of `n` booleans after packing."""
+    return np.ceil(n / 8).astype(int)
+
+
+def _packbits(array, axis):
+    return np.packbits(array, axis=axis)
+
+
+def _unpackbits(array, axis):
+    return np.unpackbits(array, axis=axis)
+
+
+def _pack_for_measurements(state, nqubits):
+    """Prepares the state for measurements by packing the rows of the X and Z sections of the symplectic matrix."""
+    r, x, z = _get_rxz(state, nqubits)
+    x = _packbits(x, axis=1)
+    z = _packbits(z, axis=1)
+    return np.hstack((x, z, r[:, None]))
+
+
+@cache
+def _pad_size(n):
+    """Returns the size of the pad added to an array of original dimension `n` after unpacking."""
+    return 8 - (n % 8)
+
+
+def _unpack_for_measurements(state, nqubits):
+    """Unpacks the symplectc matrix that was packed for measurements."""
+    xz = _unpackbits(state[:, :-1], axis=1)
+    padding_size = _pad_size(nqubits)
+    x, z = xz[:, :nqubits], xz[:, nqubits + padding_size : -padding_size]
+    return np.hstack((x, z, state[:, -1][:, None]))
+
+
+def _init_state_for_measurements(state, nqubits, collapse):
+    if collapse:
+        return _unpackbits(state, axis=0)[: _dim(nqubits)]
+    else:
+        return state.copy()
 
 
 # valid for a standard basis measurement only
 def M(state, qubits, nqubits, collapse=False):
     sample = []
-    state_copy = state if collapse else state.copy()
+    state = _init_state_for_measurements(state, nqubits, collapse)
     for q in qubits:
-        p = _get_p(state_copy, q, nqubits)
+        p = state[nqubits:-1, q].nonzero()[0]
         # random outcome, affects the state
         if len(p) > 0:
-            state_copy, outcome = _random_outcome(state_copy, p, q, nqubits)
+            state, outcome = _random_outcome(state, p, q, nqubits)
         # determined outcome, state unchanged
         else:
-            state_copy, outcome = _determined_outcome(state_copy, q, nqubits)
+            state, outcome = _determined_outcome(state, q, nqubits)
         sample.append(outcome)
+    if collapse:
+        state = _packbits(state, axis=0)
     return sample
 
 
@@ -455,10 +502,28 @@ def cast(x, dtype=None, copy=False):
 
 
 def _clifford_pre_execution_reshape(state):
-    return state
+    """Reshape and packing applied to the symplectic matrix before execution to prepare the state in the form needed by each engine.
+
+    Args:
+        state (np.array): Input state.
+
+    Returns:
+        (np.array) The packed and reshaped state.
+    """
+    return _packbits(state, axis=0)
 
 
-def _clifford_post_execution_reshape(state, nqubits):
+def _clifford_post_execution_reshape(state, nqubits: int):
+    """Reshape and unpacking applied to the state after execution to retrieve the standard symplectic matrix form.
+
+    Args:
+        state (np.array): Input state.
+        nqubits (int): Number of qubits.
+
+    Returns:
+        (np.array) The unpacked and reshaped state.
+    """
+    state = _unpackbits(state, axis=0)[: _dim(nqubits)]
     return state
 
 
diff --git a/src/qibo/backends/clifford.py b/src/qibo/backends/clifford.py
index ea56e242b9..ed61242a3d 100644
--- a/src/qibo/backends/clifford.py
+++ b/src/qibo/backends/clifford.py
@@ -119,7 +119,7 @@ def _clifford_pre_execution_reshape(self, state):
             state
         )
 
-    def _clifford_post_execution_reshape(self, state, nqubits):
+    def _clifford_post_execution_reshape(self, state, nqubits: int):
         """Reshape the symplectic matrix to the shape needed by the engine after circuit execution.
 
         Args:
@@ -294,17 +294,11 @@ def sample_shots(
         if isinstance(qubits, list):
             qubits = tuple(qubits)
 
-        state = self._clifford_pre_execution_reshape(state)
-
         if collapse:
-            samples = [
-                self.engine.M(state, qubits, nqubits) for _ in range(nshots - 1)
-            ]  # parallelize?
+            samples = [self.engine.M(state, qubits, nqubits) for _ in range(nshots - 1)]
             samples.append(self.engine.M(state, qubits, nqubits, collapse))
         else:
-            samples = [
-                self.engine.M(state, qubits, nqubits) for _ in range(nshots)
-            ]  # parallelize?
+            samples = [self.engine.M(state, qubits, nqubits) for _ in range(nshots)]
 
         return self.engine.cast(samples, dtype=int)
 
diff --git a/src/qibo/gates/abstract.py b/src/qibo/gates/abstract.py
index c9b53ee974..d86ef776c3 100644
--- a/src/qibo/gates/abstract.py
+++ b/src/qibo/gates/abstract.py
@@ -396,7 +396,7 @@ def apply_density_matrix(self, backend, state, nqubits):
         return backend.apply_gate_density_matrix(self, state, nqubits)
 
     def apply_clifford(self, backend, state, nqubits):
-        return backend.apply_gate_clifford(self, state[:-1], nqubits)
+        return backend.apply_gate_clifford(self, state, nqubits)
 
 
 class SpecialGate(Gate):
diff --git a/tests/test_backends_clifford.py b/tests/test_backends_clifford.py
index 9af8192633..af3e2e0f49 100644
--- a/tests/test_backends_clifford.py
+++ b/tests/test_backends_clifford.py
@@ -212,10 +212,10 @@ def test_collapsing_measurements(backend, seed):
     c2.add(gates.M(*range(3)))
 
     clifford_bkd.set_seed(seed)
-    clifford_res = clifford_bkd.execute_circuit(c1, nshots=100)
+    clifford_res = clifford_bkd.execute_circuit(c1, nshots=1000)
 
     numpy_bkd.set_seed(seed)
-    numpy_res = numpy_bkd.execute_circuit(c2, nshots=100)
+    numpy_res = numpy_bkd.execute_circuit(c2, nshots=1000)
 
     backend.assert_allclose(
         clifford_res.probabilities(), backend.cast(numpy_res.probabilities()), atol=1e-1