diff --git a/poetry.lock b/poetry.lock
index a0030140ef..53a615bd77 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,4 @@
-# This file is automatically @generated by Poetry 1.8.2 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.5.1 and should not be changed by hand.
 
 [[package]]
 name = "absl-py"
@@ -121,13 +121,13 @@ tests-no-zope = ["cloudpickle", "coverage[toml] (>=5.0.2)", "hypothesis", "mypy"
 
 [[package]]
 name = "autoray"
-version = "0.6.8"
+version = "0.6.9"
 description = "Abstract your array operations."
 optional = false
 python-versions = ">=3.8"
 files = [
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+    {file = "autoray-0.6.9.tar.gz", hash = "sha256:9f41759f6a286bc280c4f6aece436da1c87ce75eb00efe7dc7319860c43654fa"},
 ]
 
 [package.extras]
@@ -525,19 +525,19 @@ cirq-core = "1.3.0"
 
 [[package]]
 name = "clarabel"
-version = "0.7.0"
+version = "0.7.1"
 description = "Clarabel Conic Interior Point Solver for Rust / Python"
 optional = false
 python-versions = ">=3.7"
 files = [
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 ]
 
 [package.dependencies]
@@ -586,13 +586,13 @@ files = [
 
 [[package]]
 name = "comm"
-version = "0.2.1"
+version = "0.2.2"
 description = "Jupyter Python Comm implementation, for usage in ipykernel, xeus-python etc."
 optional = false
 python-versions = ">=3.8"
 files = [
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 [package.dependencies]
@@ -699,63 +699,63 @@ test = ["altair", "baytune", "chocolate", "dask", "distributed", "kahypar", "mat
 
 [[package]]
 name = "coverage"
-version = "7.4.3"
+version = "7.4.4"
 description = "Code coverage measurement for Python"
 optional = false
 python-versions = ">=3.8"
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 [[package]]
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 [[package]]
@@ -1883,32 +1881,32 @@ files = [
 
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 ]
 
 [package.dependencies]
@@ -1916,7 +1914,7 @@ zipp = {version = ">=3.1.0", markers = "python_version < \"3.10\""}
 
 [package.extras]
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+testing = ["jaraco.collections", "pytest (>=6)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-mypy", "pytest-ruff (>=0.2.1)", "zipp (>=3.17)"]
 
 [[package]]
 name = "iniconfig"
@@ -2080,13 +2078,13 @@ format-nongpl = ["fqdn", "idna", "isoduration", "jsonpointer (>1.13)", "rfc3339-
 
 [[package]]
 name = "jupyter-client"
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+version = "8.6.1"
 description = "Jupyter protocol implementation and client libraries"
 optional = false
 python-versions = ">=3.8"
 files = [
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 [package.dependencies]
@@ -2103,13 +2101,13 @@ test = ["coverage", "ipykernel (>=6.14)", "mypy", "paramiko", "pre-commit", "pyt
 
 [[package]]
 name = "jupyter-core"
-version = "5.7.1"
+version = "5.7.2"
 description = "Jupyter core package. A base package on which Jupyter projects rely."
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 python-versions = ">=3.8"
 files = [
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 [package.dependencies]
@@ -2119,7 +2117,7 @@ traitlets = ">=5.3"
 
 [package.extras]
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-test = ["ipykernel", "pre-commit", "pytest", "pytest-cov", "pytest-timeout"]
+test = ["ipykernel", "pre-commit", "pytest (<8)", "pytest-cov", "pytest-timeout"]
 
 [[package]]
 name = "jupyterlab-pygments"
@@ -2284,36 +2282,30 @@ regex = ["regex"]
 
 [[package]]
 name = "latexcodec"
-version = "2.0.1"
+version = "3.0.0"
 description = "A lexer and codec to work with LaTeX code in Python."
 optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
+python-versions = ">=3.7"
 files = [
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 ]
 
-[package.dependencies]
-six = ">=1.4.1"
-
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 name = "libclang"
-version = "16.0.6"
+version = "18.1.1"
 description = "Clang Python Bindings, mirrored from the official LLVM repo: https://github.com/llvm/llvm-project/tree/main/clang/bindings/python, to make the installation process easier."
 optional = false
 python-versions = "*"
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 ]
 
 [[package]]
@@ -2348,13 +2340,13 @@ files = [
 
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+version = "3.6"
 description = "Python implementation of John Gruber's Markdown."
 optional = false
 python-versions = ">=3.8"
 files = [
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 ]
 
 [package.dependencies]
@@ -2520,35 +2512,35 @@ files = [
 
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+version = "0.3.2"
 description = ""
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.9"
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 ]
 
 [package.dependencies]
 numpy = [
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-    {version = ">=1.21.2", markers = "python_version > \"3.9\" and python_version <= \"3.10\""},
-    {version = ">1.20", markers = "python_version <= \"3.9\""},
+    {version = ">1.20", markers = "python_version < \"3.10\""},
+    {version = ">=1.21.2", markers = "python_version >= \"3.10\""},
+    {version = ">=1.23.3", markers = "python_version >= \"3.11\""},
 ]
 
 [package.extras]
@@ -2639,13 +2631,13 @@ files = [
 
 [[package]]
 name = "nbclient"
-version = "0.9.0"
+version = "0.10.0"
 description = "A client library for executing notebooks. Formerly nbconvert's ExecutePreprocessor."
 optional = false
 python-versions = ">=3.8.0"
 files = [
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 ]
 
 [package.dependencies]
@@ -2657,17 +2649,17 @@ traitlets = ">=5.4"
 [package.extras]
 dev = ["pre-commit"]
 docs = ["autodoc-traits", "mock", "moto", "myst-parser", "nbclient[test]", "sphinx (>=1.7)", "sphinx-book-theme", "sphinxcontrib-spelling"]
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 [[package]]
 name = "nbconvert"
-version = "7.16.1"
+version = "7.16.2"
 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 = [
-    {file = "nbconvert-7.16.1-py3-none-any.whl", hash = "sha256:3188727dffadfdc9c6a1c7250729063d7bc78b355ad7aa023138afa030d1cd07"},
-    {file = "nbconvert-7.16.1.tar.gz", hash = "sha256:e79e6a074f49ba3ed29428ed86487bf51509d9aab613bd8522ac08f6d28fd7fd"},
+    {file = "nbconvert-7.16.2-py3-none-any.whl", hash = "sha256:0c01c23981a8de0220255706822c40b751438e32467d6a686e26be08ba784382"},
+    {file = "nbconvert-7.16.2.tar.gz", hash = "sha256:8310edd41e1c43947e4ecf16614c61469ebc024898eb808cce0999860fc9fb16"},
 ]
 
 [package.dependencies]
@@ -2699,13 +2691,13 @@ webpdf = ["playwright"]
 
 [[package]]
 name = "nbformat"
-version = "5.9.2"
+version = "5.10.3"
 description = "The Jupyter Notebook format"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "nbformat-5.9.2-py3-none-any.whl", hash = "sha256:1c5172d786a41b82bcfd0c23f9e6b6f072e8fb49c39250219e4acfff1efe89e9"},
-    {file = "nbformat-5.9.2.tar.gz", hash = "sha256:5f98b5ba1997dff175e77e0c17d5c10a96eaed2cbd1de3533d1fc35d5e111192"},
+    {file = "nbformat-5.10.3-py3-none-any.whl", hash = "sha256:d9476ca28676799af85385f409b49d95e199951477a159a576ef2a675151e5e8"},
+    {file = "nbformat-5.10.3.tar.gz", hash = "sha256:60ed5e910ef7c6264b87d644f276b1b49e24011930deef54605188ddeb211685"},
 ]
 
 [package.dependencies]
@@ -2955,13 +2947,14 @@ files = [
 
 [[package]]
 name = "nvidia-nvjitlink-cu12"
-version = "12.3.101"
+version = "12.4.99"
 description = "Nvidia JIT LTO Library"
 optional = false
 python-versions = ">=3"
 files = [
-    {file = "nvidia_nvjitlink_cu12-12.3.101-py3-none-manylinux1_x86_64.whl", hash = "sha256:64335a8088e2b9d196ae8665430bc6a2b7e6ef2eb877a9c735c804bd4ff6467c"},
-    {file = "nvidia_nvjitlink_cu12-12.3.101-py3-none-win_amd64.whl", hash = "sha256:1b2e317e437433753530792f13eece58f0aec21a2b05903be7bffe58a606cbd1"},
+    {file = "nvidia_nvjitlink_cu12-12.4.99-py3-none-manylinux2014_aarch64.whl", hash = "sha256:75d6498c96d9adb9435f2bbdbddb479805ddfb97b5c1b32395c694185c20ca57"},
+    {file = "nvidia_nvjitlink_cu12-12.4.99-py3-none-manylinux2014_x86_64.whl", hash = "sha256:c6428836d20fe7e327191c175791d38570e10762edc588fb46749217cd444c74"},
+    {file = "nvidia_nvjitlink_cu12-12.4.99-py3-none-win_amd64.whl", hash = "sha256:991905ffa2144cb603d8ca7962d75c35334ae82bf92820b6ba78157277da1ad2"},
 ]
 
 [[package]]
@@ -3074,13 +3067,13 @@ scipy = ">=0.13.2"
 
 [[package]]
 name = "packaging"
-version = "23.2"
+version = "24.0"
 description = "Core utilities for Python packages"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "packaging-23.2-py3-none-any.whl", hash = "sha256:8c491190033a9af7e1d931d0b5dacc2ef47509b34dd0de67ed209b5203fc88c7"},
-    {file = "packaging-23.2.tar.gz", hash = "sha256:048fb0e9405036518eaaf48a55953c750c11e1a1b68e0dd1a9d62ed0c092cfc5"},
+    {file = "packaging-24.0-py3-none-any.whl", hash = "sha256:2ddfb553fdf02fb784c234c7ba6ccc288296ceabec964ad2eae3777778130bc5"},
+    {file = "packaging-24.0.tar.gz", hash = "sha256:eb82c5e3e56209074766e6885bb04b8c38a0c015d0a30036ebe7ece34c9989e9"},
 ]
 
 [[package]]
@@ -3655,13 +3648,13 @@ testutils = ["gitpython (>3)"]
 
 [[package]]
 name = "pyparsing"
-version = "3.1.1"
+version = "3.1.2"
 description = "pyparsing module - Classes and methods to define and execute parsing grammars"
 optional = false
 python-versions = ">=3.6.8"
 files = [
-    {file = "pyparsing-3.1.1-py3-none-any.whl", hash = "sha256:32c7c0b711493c72ff18a981d24f28aaf9c1fb7ed5e9667c9e84e3db623bdbfb"},
-    {file = "pyparsing-3.1.1.tar.gz", hash = "sha256:ede28a1a32462f5a9705e07aea48001a08f7cf81a021585011deba701581a0db"},
+    {file = "pyparsing-3.1.2-py3-none-any.whl", hash = "sha256:f9db75911801ed778fe61bb643079ff86601aca99fcae6345aa67292038fb742"},
+    {file = "pyparsing-3.1.2.tar.gz", hash = "sha256:a1bac0ce561155ecc3ed78ca94d3c9378656ad4c94c1270de543f621420f94ad"},
 ]
 
 [package.extras]
@@ -3926,7 +3919,6 @@ files = [
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@@ -3934,16 +3926,8 @@ files = [
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-    {file = "PyYAML-6.0.1-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:855fb52b0dc35af121542a76b9a84f8d1cd886ea97c84703eaa6d88e37a2ad28"},
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-    {file = "PyYAML-6.0.1-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:8d4e9c88387b0f5c7d5f281e55304de64cf7f9c0021a3525bd3b1c542da3b0e4"},
-    {file = "PyYAML-6.0.1-cp312-cp312-win32.whl", hash = "sha256:d483d2cdf104e7c9fa60c544d92981f12ad66a457afae824d146093b8c294c54"},
-    {file = "PyYAML-6.0.1-cp312-cp312-win_amd64.whl", hash = "sha256:0d3304d8c0adc42be59c5f8a4d9e3d7379e6955ad754aa9d6ab7a398b59dd1df"},
     {file = "PyYAML-6.0.1-cp36-cp36m-macosx_10_9_x86_64.whl", hash = "sha256:50550eb667afee136e9a77d6dc71ae76a44df8b3e51e41b77f6de2932bfe0f47"},
     {file = "PyYAML-6.0.1-cp36-cp36m-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:1fe35611261b29bd1de0070f0b2f47cb6ff71fa6595c077e42bd0c419fa27b98"},
     {file = "PyYAML-6.0.1-cp36-cp36m-manylinux_2_17_s390x.manylinux2014_s390x.whl", hash = "sha256:704219a11b772aea0d8ecd7058d0082713c3562b4e271b849ad7dc4a5c90c13c"},
@@ -3960,7 +3944,6 @@ files = [
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     {file = "PyYAML-6.0.1-cp38-cp38-manylinux_2_17_s390x.manylinux2014_s390x.whl", hash = "sha256:28c119d996beec18c05208a8bd78cbe4007878c6dd15091efb73a30e90539696"},
     {file = "PyYAML-6.0.1-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:7e07cbde391ba96ab58e532ff4803f79c4129397514e1413a7dc761ccd755735"},
-    {file = "PyYAML-6.0.1-cp38-cp38-musllinux_1_1_x86_64.whl", hash = "sha256:49a183be227561de579b4a36efbb21b3eab9651dd81b1858589f796549873dd6"},
     {file = "PyYAML-6.0.1-cp38-cp38-win32.whl", hash = "sha256:184c5108a2aca3c5b3d3bf9395d50893a7ab82a38004c8f61c258d4428e80206"},
     {file = "PyYAML-6.0.1-cp38-cp38-win_amd64.whl", hash = "sha256:1e2722cc9fbb45d9b87631ac70924c11d3a401b2d7f410cc0e3bbf249f2dca62"},
     {file = "PyYAML-6.0.1-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:9eb6caa9a297fc2c2fb8862bc5370d0303ddba53ba97e71f08023b6cd73d16a8"},
@@ -3968,7 +3951,6 @@ files = [
     {file = "PyYAML-6.0.1-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:5773183b6446b2c99bb77e77595dd486303b4faab2b086e7b17bc6bef28865f6"},
     {file = "PyYAML-6.0.1-cp39-cp39-manylinux_2_17_s390x.manylinux2014_s390x.whl", hash = "sha256:b786eecbdf8499b9ca1d697215862083bd6d2a99965554781d0d8d1ad31e13a0"},
     {file = "PyYAML-6.0.1-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:bc1bf2925a1ecd43da378f4db9e4f799775d6367bdb94671027b73b393a7c42c"},
-    {file = "PyYAML-6.0.1-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:04ac92ad1925b2cff1db0cfebffb6ffc43457495c9b3c39d3fcae417d7125dc5"},
     {file = "PyYAML-6.0.1-cp39-cp39-win32.whl", hash = "sha256:faca3bdcf85b2fc05d06ff3fbc1f83e1391b3e724afa3feba7d13eeab355484c"},
     {file = "PyYAML-6.0.1-cp39-cp39-win_amd64.whl", hash = "sha256:510c9deebc5c0225e8c96813043e62b680ba2f9c50a08d3724c7f28a747d1486"},
     {file = "PyYAML-6.0.1.tar.gz", hash = "sha256:bfdf460b1736c775f2ba9f6a92bca30bc2095067b8a9d77876d1fad6cc3b4a43"},
@@ -4135,28 +4117,28 @@ scipy = ">=0.13.2"
 
 [[package]]
 name = "qibojit"
-version = "0.1.3"
+version = "0.1.4"
 description = "Simulation tools based on numba and cupy."
 optional = false
-python-versions = "^3.9,<3.12"
+python-versions = ">=3.9.0,<3.12"
 files = []
 develop = false
 
 [package.dependencies]
 numba = ">=0.51.0"
 psutil = "^5.9.5"
-qibo = ">=0.2.4"
+qibo = ">=0.2.5"
 scipy = "^1.10.1"
 
 [package.source]
 type = "git"
 url = "https://github.com/qiboteam/qibojit.git"
 reference = "HEAD"
-resolved_reference = "524aea0aa06f5dccf8d5ee9d8db84899b7f3ac45"
+resolved_reference = "5af642977fd66a4268608fbe2986e55160a88fe4"
 
 [[package]]
 name = "qibotn"
-version = "0.0.1"
+version = "0.0.2"
 description = "A tensor-network translation module for Qibo"
 optional = false
 python-versions = "^3.9,<3.12"
@@ -4168,13 +4150,13 @@ qibo = "^0.2.4"
 quimb = {version = "^1.6.0", extras = ["tensor"]}
 
 [package.extras]
-cuda = ["cupy (>=11.6.0,<12.0.0)", "cuquantum-python-cu11 (>=23.3.0,<24.0.0)"]
+cuda = ["cupy-cuda11x (>=11.6.0,<12.0.0)", "cuquantum-python-cu11 (>=23.3.0,<24.0.0)", "mpi4py (>=3.1.5,<4.0.0)"]
 
 [package.source]
 type = "git"
 url = "https://github.com/qiboteam/qibotn.git"
 reference = "HEAD"
-resolved_reference = "8e28e440426f40e575acdbedee3ae21c30dfa78c"
+resolved_reference = "67f1f9f093393a3504d47408a30742143319625b"
 
 [[package]]
 name = "quimb"
@@ -4244,13 +4226,13 @@ use-chardet-on-py3 = ["chardet (>=3.0.2,<6)"]
 
 [[package]]
 name = "requests-oauthlib"
-version = "1.3.1"
+version = "1.4.0"
 description = "OAuthlib authentication support for Requests."
 optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
 files = [
-    {file = "requests-oauthlib-1.3.1.tar.gz", hash = "sha256:75beac4a47881eeb94d5ea5d6ad31ef88856affe2332b9aafb52c6452ccf0d7a"},
-    {file = "requests_oauthlib-1.3.1-py2.py3-none-any.whl", hash = "sha256:2577c501a2fb8d05a304c09d090d6e47c306fef15809d102b327cf8364bddab5"},
+    {file = "requests-oauthlib-1.4.0.tar.gz", hash = "sha256:acee623221e4a39abcbb919312c8ff04bd44e7e417087fb4bd5e2a2f53d5e79a"},
+    {file = "requests_oauthlib-1.4.0-py2.py3-none-any.whl", hash = "sha256:7a3130d94a17520169e38db6c8d75f2c974643788465ecc2e4b36d288bf13033"},
 ]
 
 [package.dependencies]
@@ -4528,18 +4510,18 @@ scipy = "*"
 
 [[package]]
 name = "setuptools"
-version = "69.1.1"
+version = "69.2.0"
 description = "Easily download, build, install, upgrade, and uninstall Python packages"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "setuptools-69.1.1-py3-none-any.whl", hash = "sha256:02fa291a0471b3a18b2b2481ed902af520c69e8ae0919c13da936542754b4c56"},
-    {file = "setuptools-69.1.1.tar.gz", hash = "sha256:5c0806c7d9af348e6dd3777b4f4dbb42c7ad85b190104837488eab9a7c945cf8"},
+    {file = "setuptools-69.2.0-py3-none-any.whl", hash = "sha256:c21c49fb1042386df081cb5d86759792ab89efca84cf114889191cd09aacc80c"},
+    {file = "setuptools-69.2.0.tar.gz", hash = "sha256:0ff4183f8f42cd8fa3acea16c45205521a4ef28f73c6391d8a25e92893134f2e"},
 ]
 
 [package.extras]
 docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "pygments-github-lexers (==0.0.5)", "rst.linker (>=1.9)", "sphinx (<7.2.5)", "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)", "flake8-2020", "ini2toml[lite] (>=0.9)", "jaraco.develop (>=7.21)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "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", "tomli-w (>=1.0.0)", "virtualenv (>=13.0.0)", "wheel"]
+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"]
 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]]
@@ -4814,42 +4796,42 @@ tests = ["cython", "littleutils", "pygments", "pytest", "typeguard"]
 
 [[package]]
 name = "stim"
-version = "1.12.1"
+version = "1.13.0"
 description = "A fast library for analyzing with quantum stabilizer circuits."
 optional = false
 python-versions = ">=3.6.0"
 files = [
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-    {file = "stim-1.12.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:14cb6400f49387ddc94c599556fec3f97a8f4c7d57300f984f3ca0cec838e00f"},
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 ]
 
 [package.dependencies]
@@ -4967,7 +4990,7 @@ grpcio = ">=1.24.3,<2.0"
 h5py = ">=2.9.0"
 keras = ">=2.15.0,<2.16"
 libclang = ">=13.0.0"
-ml-dtypes = ">=0.2.0,<0.3.0"
+ml-dtypes = ">=0.3.1,<0.4.0"
 numpy = ">=1.23.5,<2.0.0"
 opt-einsum = ">=2.3.2"
 packaging = "*"
@@ -4982,7 +5005,7 @@ typing-extensions = ">=3.6.6"
 wrapt = ">=1.11.0,<1.15"
 
 [package.extras]
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+and-cuda = ["nvidia-cublas-cu12 (==12.2.5.6)", "nvidia-cuda-cupti-cu12 (==12.2.142)", "nvidia-cuda-nvcc-cu12 (==12.2.140)", "nvidia-cuda-nvrtc-cu12 (==12.2.140)", "nvidia-cuda-runtime-cu12 (==12.2.140)", "nvidia-cudnn-cu12 (==8.9.4.25)", "nvidia-cufft-cu12 (==11.0.8.103)", "nvidia-curand-cu12 (==10.3.3.141)", "nvidia-cusolver-cu12 (==11.5.2.141)", "nvidia-cusparse-cu12 (==12.1.2.141)", "nvidia-nccl-cu12 (==2.16.5)", "nvidia-nvjitlink-cu12 (==12.2.140)"]
 
 [[package]]
 name = "tensorflow-estimator"
@@ -4994,6 +5017,45 @@ files = [
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 ]
 
+[[package]]
+name = "tensorflow-intel"
+version = "2.15.1"
+description = "TensorFlow is an open source machine learning framework for everyone."
+optional = false
+python-versions = ">=3.9"
+files = [
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+
+[package.dependencies]
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+flatbuffers = ">=23.5.26"
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+ml-dtypes = ">=0.3.1,<0.4.0"
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+opt-einsum = ">=2.3.2"
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+setuptools = "*"
+six = ">=1.12.0"
+tensorboard = ">=2.15,<2.16"
+tensorflow-estimator = ">=2.15.0,<2.16"
+tensorflow-io-gcs-filesystem = ">=0.23.1"
+termcolor = ">=1.1.0"
+typing-extensions = ">=3.6.6"
+wrapt = ">=1.11.0,<1.15"
+
+[package.extras]
+and-cuda = ["nvidia-cublas-cu12 (==12.2.5.6)", "nvidia-cuda-cupti-cu12 (==12.2.142)", "nvidia-cuda-nvcc-cu12 (==12.2.140)", "nvidia-cuda-nvrtc-cu12 (==12.2.140)", "nvidia-cuda-runtime-cu12 (==12.2.140)", "nvidia-cudnn-cu12 (==8.9.4.25)", "nvidia-cufft-cu12 (==11.0.8.103)", "nvidia-curand-cu12 (==10.3.3.141)", "nvidia-cusolver-cu12 (==11.5.2.141)", "nvidia-cusparse-cu12 (==12.1.2.141)", "nvidia-nccl-cu12 (==2.16.5)", "nvidia-nvjitlink-cu12 (==12.2.140)"]
+
 [[package]]
 name = "tensorflow-io-gcs-filesystem"
 version = "0.36.0"
@@ -5112,36 +5174,36 @@ files = [
 
 [[package]]
 name = "torch"
-version = "2.2.0"
+version = "2.2.1"
 description = "Tensors and Dynamic neural networks in Python with strong GPU acceleration"
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 python-versions = ">=3.8.0"
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 ]
 
 [package.dependencies]
@@ -5161,7 +5223,7 @@ nvidia-cusparse-cu12 = {version = "12.1.0.106", markers = "platform_system == \"
 nvidia-nccl-cu12 = {version = "2.19.3", 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\""}
+triton = {version = "2.2.0", markers = "platform_system == \"Linux\" and platform_machine == \"x86_64\" and python_version < \"3.12\""}
 typing-extensions = ">=4.8.0"
 
 [package.extras]
@@ -5210,18 +5272,18 @@ telegram = ["requests"]
 
 [[package]]
 name = "traitlets"
-version = "5.14.1"
+version = "5.14.2"
 description = "Traitlets Python configuration system"
 optional = false
 python-versions = ">=3.8"
 files = [
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+    {file = "traitlets-5.14.2.tar.gz", hash = "sha256:8cdd83c040dab7d1dee822678e5f5d100b514f7b72b01615b26fc5718916fdf9"},
 ]
 
 [package.extras]
 docs = ["myst-parser", "pydata-sphinx-theme", "sphinx"]
-test = ["argcomplete (>=3.0.3)", "mypy (>=1.7.0)", "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,<8.1)", "pytest-mock", "pytest-mypy-testing"]
 
 [[package]]
 name = "triton"
@@ -5248,24 +5310,24 @@ tutorials = ["matplotlib", "pandas", "tabulate", "torch"]
 
 [[package]]
 name = "types-deprecated"
-version = "1.2.9.20240106"
+version = "1.2.9.20240311"
 description = "Typing stubs for Deprecated"
 optional = false
 python-versions = ">=3.8"
 files = [
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 ]
 
 [[package]]
 name = "types-python-dateutil"
-version = "2.8.19.20240106"
+version = "2.9.0.20240316"
 description = "Typing stubs for python-dateutil"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "types-python-dateutil-2.8.19.20240106.tar.gz", hash = "sha256:1f8db221c3b98e6ca02ea83a58371b22c374f42ae5bbdf186db9c9a76581459f"},
-    {file = "types_python_dateutil-2.8.19.20240106-py3-none-any.whl", hash = "sha256:efbbdc54590d0f16152fa103c9879c7d4a00e82078f6e2cf01769042165acaa2"},
+    {file = "types-python-dateutil-2.9.0.20240316.tar.gz", hash = "sha256:5d2f2e240b86905e40944dd787db6da9263f0deabef1076ddaed797351ec0202"},
+    {file = "types_python_dateutil-2.9.0.20240316-py3-none-any.whl", hash = "sha256:6b8cb66d960771ce5ff974e9dd45e38facb81718cc1e208b10b1baccbfdbee3b"},
 ]
 
 [[package]]
@@ -5359,13 +5421,13 @@ watchdog = ["watchdog (>=2.3)"]
 
 [[package]]
 name = "wheel"
-version = "0.42.0"
+version = "0.43.0"
 description = "A built-package format for Python"
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
 files = [
-    {file = "wheel-0.42.0-py3-none-any.whl", hash = "sha256:177f9c9b0d45c47873b619f5b650346d632cdc35fb5e4d25058e09c9e581433d"},
-    {file = "wheel-0.42.0.tar.gz", hash = "sha256:c45be39f7882c9d34243236f2d63cbd58039e360f85d0913425fbd7ceea617a8"},
+    {file = "wheel-0.43.0-py3-none-any.whl", hash = "sha256:55c570405f142630c6b9f72fe09d9b67cf1477fcf543ae5b8dcb1f5b7377da81"},
+    {file = "wheel-0.43.0.tar.gz", hash = "sha256:465ef92c69fa5c5da2d1cf8ac40559a8c940886afcef87dcf14b9470862f1d85"},
 ]
 
 [package.extras]
@@ -5425,16 +5487,6 @@ files = [
     {file = "wrapt-1.14.1-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:8ad85f7f4e20964db4daadcab70b47ab05c7c1cf2a7c1e51087bfaa83831854c"},
     {file = "wrapt-1.14.1-cp310-cp310-win32.whl", hash = "sha256:a9a52172be0b5aae932bef82a79ec0a0ce87288c7d132946d645eba03f0ad8a8"},
     {file = "wrapt-1.14.1-cp310-cp310-win_amd64.whl", hash = "sha256:6d323e1554b3d22cfc03cd3243b5bb815a51f5249fdcbb86fda4bf62bab9e164"},
-    {file = "wrapt-1.14.1-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:ecee4132c6cd2ce5308e21672015ddfed1ff975ad0ac8d27168ea82e71413f55"},
-    {file = "wrapt-1.14.1-cp311-cp311-macosx_11_0_arm64.whl", hash = "sha256:2020f391008ef874c6d9e208b24f28e31bcb85ccff4f335f15a3251d222b92d9"},
-    {file = "wrapt-1.14.1-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:2feecf86e1f7a86517cab34ae6c2f081fd2d0dac860cb0c0ded96d799d20b335"},
-    {file = "wrapt-1.14.1-cp311-cp311-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:240b1686f38ae665d1b15475966fe0472f78e71b1b4903c143a842659c8e4cb9"},
-    {file = "wrapt-1.14.1-cp311-cp311-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:a9008dad07d71f68487c91e96579c8567c98ca4c3881b9b113bc7b33e9fd78b8"},
-    {file = "wrapt-1.14.1-cp311-cp311-musllinux_1_1_aarch64.whl", hash = "sha256:6447e9f3ba72f8e2b985a1da758767698efa72723d5b59accefd716e9e8272bf"},
-    {file = "wrapt-1.14.1-cp311-cp311-musllinux_1_1_i686.whl", hash = "sha256:acae32e13a4153809db37405f5eba5bac5fbe2e2ba61ab227926a22901051c0a"},
-    {file = "wrapt-1.14.1-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:49ef582b7a1152ae2766557f0550a9fcbf7bbd76f43fbdc94dd3bf07cc7168be"},
-    {file = "wrapt-1.14.1-cp311-cp311-win32.whl", hash = "sha256:358fe87cc899c6bb0ddc185bf3dbfa4ba646f05b1b0b9b5a27c2cb92c2cea204"},
-    {file = "wrapt-1.14.1-cp311-cp311-win_amd64.whl", hash = "sha256:26046cd03936ae745a502abf44dac702a5e6880b2b01c29aea8ddf3353b68224"},
     {file = "wrapt-1.14.1-cp35-cp35m-manylinux1_i686.whl", hash = "sha256:43ca3bbbe97af00f49efb06e352eae40434ca9d915906f77def219b88e85d907"},
     {file = "wrapt-1.14.1-cp35-cp35m-manylinux1_x86_64.whl", hash = "sha256:6b1a564e6cb69922c7fe3a678b9f9a3c54e72b469875aa8018f18b4d1dd1adf3"},
     {file = "wrapt-1.14.1-cp35-cp35m-manylinux2010_i686.whl", hash = "sha256:00b6d4ea20a906c0ca56d84f93065b398ab74b927a7a3dbd470f6fc503f95dc3"},
@@ -5484,24 +5536,25 @@ files = [
 
 [[package]]
 name = "zipp"
-version = "3.17.0"
+version = "3.18.1"
 description = "Backport of pathlib-compatible object wrapper for zip files"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "zipp-3.17.0-py3-none-any.whl", hash = "sha256:0e923e726174922dce09c53c59ad483ff7bbb8e572e00c7f7c46b88556409f31"},
-    {file = "zipp-3.17.0.tar.gz", hash = "sha256:84e64a1c28cf7e91ed2078bb8cc8c259cb19b76942096c8d7b84947690cabaf0"},
+    {file = "zipp-3.18.1-py3-none-any.whl", hash = "sha256:206f5a15f2af3dbaee80769fb7dc6f249695e940acca08dfb2a4769fe61e538b"},
+    {file = "zipp-3.18.1.tar.gz", hash = "sha256:2884ed22e7d8961de1c9a05142eb69a247f120291bc0206a00a7642f09b5b715"},
 ]
 
 [package.extras]
-docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (<7.2.5)", "sphinx (>=3.5)", "sphinx-lint"]
-testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "pytest (>=6)", "pytest-black (>=0.3.7)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-ignore-flaky", "pytest-mypy (>=0.9.1)", "pytest-ruff"]
+docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"]
+testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "pytest (>=6)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-ignore-flaky", "pytest-mypy", "pytest-ruff (>=0.2.1)"]
 
 [extras]
 qinfo = ["cvxpy"]
 tensorflow = ["tensorflow"]
+torch = ["torch"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.9,<3.12"
-content-hash = "f2af75884607f9e26cb077dadd7e49f4037056b0fc096cb37f389b01b0732f74"
+content-hash = "b167edb192763e8c70eeef729e281f4ebbef8bdee41eb4d8692e3784babfe75e"
diff --git a/pyproject.toml b/pyproject.toml
index d0490b164e..2febb035ff 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -64,7 +64,6 @@ cirq = "^1.1.0"
 cvxpy = "^1.3.1"
 ply = "^3.11"
 scikit-learn = "^1.2.1"
-dill = "^0.3.6"
 pytest-cov = "^4.0.0"
 pylint = "^3.0.3"
 matplotlib = "^3.7.0"
@@ -102,7 +101,8 @@ qibotn = { git = "https://github.com/qiboteam/qibotn.git" }
 
 [tool.poetry.extras]
 tensorflow = ["tensorflow"]
-qinfo = ["cvxpy"]
+torch = ["torch"]
+qinfo = ["cvxpy", "stim"]
 
 [tool.pylint.reports]
 output-format = "colorized"
diff --git a/tests/test_dill.py b/tests/test_dill.py
deleted file mode 100644
index aaf312025f..0000000000
--- a/tests/test_dill.py
+++ /dev/null
@@ -1,127 +0,0 @@
-import pickle
-
-import dill
-import numpy as np
-import pytest
-
-
-def test_pickle_backend(backend):
-    serial = pickle.dumps(backend)
-    new_backend = pickle.loads(serial)
-    assert type(new_backend) == type(backend)
-    if hasattr(backend, "np"):
-        assert new_backend.np is backend.np
-
-
-def test_dill_backends(backend):
-    serial = dill.dumps(backend)
-    new_backend = dill.loads(serial)
-    assert type(new_backend) == type(backend)
-    assert new_backend.name == backend.name
-    assert new_backend.platform == backend.platform
-    assert type(new_backend.matrices) == type(backend.matrices)
-
-
-def test_dill_global_backend():
-    from qibo.backends import GlobalBackend
-
-    backend = GlobalBackend()
-    serial = dill.dumps(backend)
-    new_backend = dill.loads(serial)
-    assert type(new_backend) == type(backend)
-    assert new_backend.name == backend.name
-
-
-def test_dill_circuit(accelerators):
-    from qibo import Circuit, gates
-
-    circuit = Circuit(5, accelerators=accelerators)
-    circuit.add(gates.H(i) for i in range(5))
-    serial = dill.dumps(circuit)
-    new_circuit = dill.loads(serial)
-    assert type(new_circuit) == type(circuit)
-    assert new_circuit.nqubits == circuit.nqubits
-    assert new_circuit.to_qasm() == circuit.to_qasm()
-
-
-def test_dill_circuit_result(backend):
-    from qibo.models import QFT
-
-    circuit = QFT(4)
-    result = backend.execute_circuit(circuit)
-    serial = dill.dumps(result)
-    new_result = dill.loads(serial)
-    assert type(new_result) == type(result)
-    assert str(new_result) == str(result)
-    backend.assert_allclose(new_result, result)
-
-
-def test_dill_symbols():
-    from qibo.symbols import Symbol, X
-
-    matrix = np.random.random((2, 2))
-    s = Symbol(0, matrix)
-    x = X(1)
-    ns = dill.loads(dill.dumps(s))
-    nx = dill.loads(dill.dumps(x))
-    assert type(ns) == type(s)
-    assert type(nx) == type(x)
-    np.testing.assert_allclose(nx.matrix, x.matrix)
-    np.testing.assert_allclose(ns.matrix, s.matrix)
-
-
-def test_dill_measurement_symbol(backend):
-    from qibo import Circuit, gates
-
-    circuit = Circuit(1, density_matrix=True)
-    circuit.add(gates.H(0))
-    cresult = circuit.add(gates.M(0, collapse=True))
-    result = backend.execute_circuit(circuit, nshots=1)
-    symbol = cresult.symbols[0]
-    nsymbol = dill.loads(dill.dumps(symbol))
-    assert type(nsymbol) == type(symbol)
-    backend.assert_allclose(nsymbol.outcome(), symbol.outcome())
-
-
-def test_dill_hamiltonian(backend):
-    from qibo.hamiltonians import XXZ, Hamiltonian
-
-    matrix = np.random.random((4, 4))
-    ham1 = Hamiltonian(2, matrix, backend=backend)
-    ham2 = XXZ(3, backend=backend)
-    serial1 = dill.dumps(ham1)
-    serial2 = dill.dumps(ham2)
-    nham1 = dill.loads(serial1)
-    nham2 = dill.loads(serial2)
-    assert type(nham1) == type(ham1)
-    assert type(nham2) == type(ham2)
-    backend.assert_allclose(nham1.matrix, nham1.matrix)
-    backend.assert_allclose(nham2.matrix, nham2.matrix)
-
-
-def test_dill_symbolic_hamiltonian(backend):
-    from qibo.hamiltonians import SymbolicHamiltonian
-    from qibo.symbols import X, Y, Z
-
-    form = X(0) * X(1) + Y(0) * Y(1) + Z(0) * Z(1)
-    ham = SymbolicHamiltonian(form, backend=backend)
-    serial = dill.dumps(ham)
-    nham = dill.loads(serial)
-    assert type(nham) == type(ham)
-    backend.assert_allclose(nham.matrix, ham.matrix)
-
-
-def test_dill_variational_models(backend):
-    from qibo import gates
-    from qibo.hamiltonians import TFIM
-    from qibo.models import QAOA, VQE, Circuit
-
-    ham = TFIM(4, backend=backend)
-    circuit = Circuit(4)
-    circuit.add(gates.RX(i, theta=0) for i in range(4))
-    vqe = VQE(circuit, ham)
-    qaoa = QAOA(ham)
-    nvqe = dill.loads(dill.dumps(vqe))
-    nqaoa = dill.loads(dill.dumps(qaoa))
-    assert type(nvqe) == type(vqe)
-    assert type(nqaoa) == type(qaoa)