diff --git a/poetry.lock b/poetry.lock
index a7a89bc..7a8f452 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -11,6 +11,17 @@ files = [
     {file = "absl_py-2.1.0-py3-none-any.whl", hash = "sha256:526a04eadab8b4ee719ce68f204172ead1027549089702d99b9059f129ff1308"},
 ]
 
+[[package]]
+name = "antlr4-python3-runtime"
+version = "4.13.1"
+description = "ANTLR 4.13.1 runtime for Python 3"
+optional = false
+python-versions = "*"
+files = [
+    {file = "antlr4-python3-runtime-4.13.1.tar.gz", hash = "sha256:3cd282f5ea7cfb841537fe01f143350fdb1c0b1ce7981443a2fa8513fddb6d1a"},
+    {file = "antlr4_python3_runtime-4.13.1-py3-none-any.whl", hash = "sha256:78ec57aad12c97ac039ca27403ad61cb98aaec8a3f9bb8144f889aa0fa28b943"},
+]
+
 [[package]]
 name = "appnope"
 version = "0.1.4"
@@ -196,6 +207,35 @@ files = [
     {file = "charset_normalizer-3.3.2-py3-none-any.whl", hash = "sha256:3e4d1f6587322d2788836a99c69062fbb091331ec940e02d12d179c1d53e25fc"},
 ]
 
+[[package]]
+name = "cloudpickle"
+version = "3.0.0"
+description = "Pickler class to extend the standard pickle.Pickler functionality"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "cloudpickle-3.0.0-py3-none-any.whl", hash = "sha256:246ee7d0c295602a036e86369c77fecda4ab17b506496730f2f576d9016fd9c7"},
+    {file = "cloudpickle-3.0.0.tar.gz", hash = "sha256:996d9a482c6fb4f33c1a35335cf8afd065d2a56e973270364840712d9131a882"},
+]
+
+[[package]]
+name = "cma"
+version = "3.3.0"
+description = "CMA-ES, Covariance Matrix Adaptation Evolution Strategy for non-linear numerical optimization in Python"
+optional = false
+python-versions = "*"
+files = [
+    {file = "cma-3.3.0-py3-none-any.whl", hash = "sha256:5cc571b1e2068fcf1c538be36f8f3a870107456fed22ce81c1345a96329e61db"},
+    {file = "cma-3.3.0.tar.gz", hash = "sha256:b748b8e03f4e7ae816157d7b9bb2fc6b1fb2fee1d5fd3399329b646bb75861ec"},
+]
+
+[package.dependencies]
+numpy = "*"
+
+[package.extras]
+constrained-solution-tracking = ["moarchiving"]
+plotting = ["matplotlib"]
+
 [[package]]
 name = "colorama"
 version = "0.4.6"
@@ -273,6 +313,17 @@ files = [
     {file = "flatbuffers-24.3.7.tar.gz", hash = "sha256:0895c22b9a6019ff2f4de2e5e2f7cd15914043e6e7033a94c0c6369422690f22"},
 ]
 
+[[package]]
+name = "future"
+version = "1.0.0"
+description = "Clean single-source support for Python 3 and 2"
+optional = false
+python-versions = ">=2.6, !=3.0.*, !=3.1.*, !=3.2.*"
+files = [
+    {file = "future-1.0.0-py3-none-any.whl", hash = "sha256:929292d34f5872e70396626ef385ec22355a1fae8ad29e1a734c3e43f9fbc216"},
+    {file = "future-1.0.0.tar.gz", hash = "sha256:bd2968309307861edae1458a4f8a4f3598c03be43b97521076aebf5d94c07b05"},
+]
+
 [[package]]
 name = "gast"
 version = "0.5.4"
@@ -402,6 +453,33 @@ files = [
 [package.dependencies]
 numpy = ">=1.17.3"
 
+[[package]]
+name = "hyperopt"
+version = "0.2.7"
+description = "Distributed Asynchronous Hyperparameter Optimization"
+optional = false
+python-versions = "*"
+files = [
+    {file = "hyperopt-0.2.7-py2.py3-none-any.whl", hash = "sha256:f3046d91fe4167dbf104365016596856b2524a609d22f047a066fc1ac796427c"},
+    {file = "hyperopt-0.2.7.tar.gz", hash = "sha256:1bf89ae58050bbd32c7307199046117feee245c2fd9ab6255c7308522b7ca149"},
+]
+
+[package.dependencies]
+cloudpickle = "*"
+future = "*"
+networkx = ">=2.2"
+numpy = "*"
+py4j = "*"
+scipy = "*"
+six = "*"
+tqdm = "*"
+
+[package.extras]
+atpe = ["lightgbm", "scikit-learn"]
+dev = ["black", "nose", "pre-commit", "pytest"]
+mongotrials = ["pymongo"]
+sparktrials = ["pyspark"]
+
 [[package]]
 name = "idna"
 version = "3.6"
@@ -512,6 +590,17 @@ docs = ["Jinja2 (==2.11.3)", "MarkupSafe (==1.1.1)", "Pygments (==2.8.1)", "alab
 qa = ["flake8 (==5.0.4)", "mypy (==0.971)", "types-setuptools (==67.2.0.1)"]
 testing = ["Django", "attrs", "colorama", "docopt", "pytest (<7.0.0)"]
 
+[[package]]
+name = "joblib"
+version = "1.3.2"
+description = "Lightweight pipelining with Python functions"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "joblib-1.3.2-py3-none-any.whl", hash = "sha256:ef4331c65f239985f3f2220ecc87db222f08fd22097a3dd5698f693875f8cbb9"},
+    {file = "joblib-1.3.2.tar.gz", hash = "sha256:92f865e621e17784e7955080b6d042489e3b8e294949cc44c6eac304f59772b1"},
+]
+
 [[package]]
 name = "keras"
 version = "3.1.0"
@@ -803,13 +892,29 @@ files = [
 numpy = [
     {version = ">=1.21.2", markers = "python_version >= \"3.10\" and python_version < \"3.11\""},
     {version = ">1.20", markers = "python_version < \"3.10\""},
-    {version = ">=1.23.3", markers = "python_version >= \"3.11\" and python_version < \"3.12\""},
-    {version = ">=1.26.0", markers = "python_version >= \"3.12\""},
+    {version = ">=1.23.3", markers = "python_version >= \"3.11\""},
 ]
 
 [package.extras]
 dev = ["absl-py", "pyink", "pylint (>=2.6.0)", "pytest", "pytest-xdist"]
 
+[[package]]
+name = "mpmath"
+version = "1.3.0"
+description = "Python library for arbitrary-precision floating-point arithmetic"
+optional = false
+python-versions = "*"
+files = [
+    {file = "mpmath-1.3.0-py3-none-any.whl", hash = "sha256:a0b2b9fe80bbcd81a6647ff13108738cfb482d481d826cc0e02f5b35e5c88d2c"},
+    {file = "mpmath-1.3.0.tar.gz", hash = "sha256:7a28eb2a9774d00c7bc92411c19a89209d5da7c4c9a9e227be8330a23a25b91f"},
+]
+
+[package.extras]
+develop = ["codecov", "pycodestyle", "pytest (>=4.6)", "pytest-cov", "wheel"]
+docs = ["sphinx"]
+gmpy = ["gmpy2 (>=2.1.0a4)"]
+tests = ["pytest (>=4.6)"]
+
 [[package]]
 name = "namex"
 version = "0.0.7"
@@ -821,6 +926,24 @@ files = [
     {file = "namex-0.0.7.tar.gz", hash = "sha256:84ba65bc4d22bd909e3d26bf2ffb4b9529b608cb3f9a4336f776b04204ced69b"},
 ]
 
+[[package]]
+name = "networkx"
+version = "3.2.1"
+description = "Python package for creating and manipulating graphs and networks"
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "networkx-3.2.1-py3-none-any.whl", hash = "sha256:f18c69adc97877c42332c170849c96cefa91881c99a7cb3e95b7c659ebdc1ec2"},
+    {file = "networkx-3.2.1.tar.gz", hash = "sha256:9f1bb5cf3409bf324e0a722c20bdb4c20ee39bf1c30ce8ae499c8502b0b5e0c6"},
+]
+
+[package.extras]
+default = ["matplotlib (>=3.5)", "numpy (>=1.22)", "pandas (>=1.4)", "scipy (>=1.9,!=1.11.0,!=1.11.1)"]
+developer = ["changelist (==0.4)", "mypy (>=1.1)", "pre-commit (>=3.2)", "rtoml"]
+doc = ["nb2plots (>=0.7)", "nbconvert (<7.9)", "numpydoc (>=1.6)", "pillow (>=9.4)", "pydata-sphinx-theme (>=0.14)", "sphinx (>=7)", "sphinx-gallery (>=0.14)", "texext (>=0.6.7)"]
+extra = ["lxml (>=4.6)", "pydot (>=1.4.2)", "pygraphviz (>=1.11)", "sympy (>=1.10)"]
+test = ["pytest (>=7.2)", "pytest-cov (>=4.0)"]
+
 [[package]]
 name = "numba"
 version = "0.59.0"
@@ -900,6 +1023,26 @@ files = [
     {file = "numpy-1.26.4.tar.gz", hash = "sha256:2a02aba9ed12e4ac4eb3ea9421c420301a0c6460d9830d74a9df87efa4912010"},
 ]
 
+[[package]]
+name = "openqasm3"
+version = "0.5.0"
+description = "Reference OpenQASM AST in Python"
+optional = false
+python-versions = "*"
+files = [
+    {file = "openqasm3-0.5.0-py3-none-any.whl", hash = "sha256:40991ac057b9e3c208d1b34242b0aad8a3b9840df0335a652b1e4e4248937b1c"},
+    {file = "openqasm3-0.5.0.tar.gz", hash = "sha256:bf8bf4ed098393447e552eaea18b0a34a2429d228477683d6b579348bc17bfc8"},
+]
+
+[package.dependencies]
+antlr4-python3-runtime = {version = ">=4.7,<4.14", optional = true, markers = "extra == \"parser\""}
+importlib-metadata = {version = "*", optional = true, markers = "python_version < \"3.10\" and extra == \"parser\""}
+
+[package.extras]
+all = ["antlr4-python3-runtime (>=4.7,<4.14)", "importlib-metadata", "pytest (>=6.0)", "pyyaml"]
+parser = ["antlr4-python3-runtime (>=4.7,<4.14)", "importlib-metadata"]
+tests = ["pytest (>=6.0)", "pyyaml"]
+
 [[package]]
 name = "opt-einsum"
 version = "3.3.0"
@@ -1135,6 +1278,17 @@ files = [
     {file = "py_cpuinfo-9.0.0-py3-none-any.whl", hash = "sha256:859625bc251f64e21f077d099d4162689c762b5d6a4c3c97553d56241c9674d5"},
 ]
 
+[[package]]
+name = "py4j"
+version = "0.10.9.7"
+description = "Enables Python programs to dynamically access arbitrary Java objects"
+optional = false
+python-versions = "*"
+files = [
+    {file = "py4j-0.10.9.7-py2.py3-none-any.whl", hash = "sha256:85defdfd2b2376eb3abf5ca6474b51ab7e0de341c75a02f46dc9b5976f5a5c1b"},
+    {file = "py4j-0.10.9.7.tar.gz", hash = "sha256:0b6e5315bb3ada5cf62ac651d107bb2ebc02def3dee9d9548e3baac644ea8dbb"},
+]
+
 [[package]]
 name = "pygal"
 version = "3.0.4"
@@ -1274,6 +1428,32 @@ aspect = ["aspectlib"]
 elasticsearch = ["elasticsearch"]
 histogram = ["pygal", "pygaljs"]
 
+[[package]]
+name = "qibo"
+version = "0.2.6"
+description = "A framework for quantum computing with hardware acceleration."
+optional = false
+python-versions = ">=3.9,<3.12"
+files = [
+    {file = "qibo-0.2.6-py3-none-any.whl", hash = "sha256:7878cf890ea8f7946d74580359022277848da33213865617f6ed143a0d2b3602"},
+    {file = "qibo-0.2.6.tar.gz", hash = "sha256:145f2ab3137100746c132ee5f9e8f5c8746908e6ee025484202022172e3ec5a3"},
+]
+
+[package.dependencies]
+cma = ">=3.3.0,<4.0.0"
+hyperopt = ">=0.2.7,<0.3.0"
+joblib = ">=1.2.0,<2.0.0"
+networkx = ">=3.2.1,<4.0.0"
+numpy = ">=1.26.4,<2.0.0"
+openqasm3 = {version = ">=0.5.0", extras = ["parser"]}
+scipy = ">=1.10.1,<2.0.0"
+sympy = ">=1.11.1,<2.0.0"
+tabulate = ">=0.9.0,<0.10.0"
+
+[package.extras]
+qinfo = ["cvxpy (>=1.4.2,<2.0.0)"]
+tensorflow = ["tensorflow (>=2.14.1,<2.16)"]
+
 [[package]]
 name = "requests"
 version = "2.31.0"
@@ -1313,6 +1493,48 @@ pygments = ">=2.13.0,<3.0.0"
 [package.extras]
 jupyter = ["ipywidgets (>=7.5.1,<9)"]
 
+[[package]]
+name = "scipy"
+version = "1.12.0"
+description = "Fundamental algorithms for scientific computing in Python"
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "scipy-1.12.0-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:78e4402e140879387187f7f25d91cc592b3501a2e51dfb320f48dfb73565f10b"},
+    {file = "scipy-1.12.0-cp310-cp310-macosx_12_0_arm64.whl", hash = "sha256:f5f00ebaf8de24d14b8449981a2842d404152774c1a1d880c901bf454cb8e2a1"},
+    {file = "scipy-1.12.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:e53958531a7c695ff66c2e7bb7b79560ffdc562e2051644c5576c39ff8efb563"},
+    {file = "scipy-1.12.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:5e32847e08da8d895ce09d108a494d9eb78974cf6de23063f93306a3e419960c"},
+    {file = "scipy-1.12.0-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:4c1020cad92772bf44b8e4cdabc1df5d87376cb219742549ef69fc9fd86282dd"},
+    {file = "scipy-1.12.0-cp310-cp310-win_amd64.whl", hash = "sha256:75ea2a144096b5e39402e2ff53a36fecfd3b960d786b7efd3c180e29c39e53f2"},
+    {file = "scipy-1.12.0-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:408c68423f9de16cb9e602528be4ce0d6312b05001f3de61fe9ec8b1263cad08"},
+    {file = "scipy-1.12.0-cp311-cp311-macosx_12_0_arm64.whl", hash = "sha256:5adfad5dbf0163397beb4aca679187d24aec085343755fcdbdeb32b3679f254c"},
+    {file = "scipy-1.12.0-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:c3003652496f6e7c387b1cf63f4bb720951cfa18907e998ea551e6de51a04467"},
+    {file = "scipy-1.12.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:8b8066bce124ee5531d12a74b617d9ac0ea59245246410e19bca549656d9a40a"},
+    {file = "scipy-1.12.0-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:8bee4993817e204d761dba10dbab0774ba5a8612e57e81319ea04d84945375ba"},
+    {file = "scipy-1.12.0-cp311-cp311-win_amd64.whl", hash = "sha256:a24024d45ce9a675c1fb8494e8e5244efea1c7a09c60beb1eeb80373d0fecc70"},
+    {file = "scipy-1.12.0-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:e7e76cc48638228212c747ada851ef355c2bb5e7f939e10952bc504c11f4e372"},
+    {file = "scipy-1.12.0-cp312-cp312-macosx_12_0_arm64.whl", hash = "sha256:f7ce148dffcd64ade37b2df9315541f9adad6efcaa86866ee7dd5db0c8f041c3"},
+    {file = "scipy-1.12.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:9c39f92041f490422924dfdb782527a4abddf4707616e07b021de33467f917bc"},
+    {file = "scipy-1.12.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:a7ebda398f86e56178c2fa94cad15bf457a218a54a35c2a7b4490b9f9cb2676c"},
+    {file = "scipy-1.12.0-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:95e5c750d55cf518c398a8240571b0e0782c2d5a703250872f36eaf737751338"},
+    {file = "scipy-1.12.0-cp312-cp312-win_amd64.whl", hash = "sha256:e646d8571804a304e1da01040d21577685ce8e2db08ac58e543eaca063453e1c"},
+    {file = "scipy-1.12.0-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:913d6e7956c3a671de3b05ccb66b11bc293f56bfdef040583a7221d9e22a2e35"},
+    {file = "scipy-1.12.0-cp39-cp39-macosx_12_0_arm64.whl", hash = "sha256:bba1b0c7256ad75401c73e4b3cf09d1f176e9bd4248f0d3112170fb2ec4db067"},
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+    {file = "scipy-1.12.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:6546dc2c11a9df6926afcbdd8a3edec28566e4e785b915e849348c6dd9f3f490"},
+    {file = "scipy-1.12.0-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:196ebad3a4882081f62a5bf4aeb7326aa34b110e533aab23e4374fcccb0890dc"},
+    {file = "scipy-1.12.0-cp39-cp39-win_amd64.whl", hash = "sha256:b360f1b6b2f742781299514e99ff560d1fe9bd1bff2712894b52abe528d1fd1e"},
+    {file = "scipy-1.12.0.tar.gz", hash = "sha256:4bf5abab8a36d20193c698b0f1fc282c1d083c94723902c447e5d2f1780936a3"},
+]
+
+[package.dependencies]
+numpy = ">=1.22.4,<1.29.0"
+
+[package.extras]
+dev = ["click", "cython-lint (>=0.12.2)", "doit (>=0.36.0)", "mypy", "pycodestyle", "pydevtool", "rich-click", "ruff", "types-psutil", "typing_extensions"]
+doc = ["jupytext", "matplotlib (>2)", "myst-nb", "numpydoc", "pooch", "pydata-sphinx-theme (==0.9.0)", "sphinx (!=4.1.0)", "sphinx-design (>=0.2.0)"]
+test = ["asv", "gmpy2", "hypothesis", "mpmath", "pooch", "pytest", "pytest-cov", "pytest-timeout", "pytest-xdist", "scikit-umfpack", "threadpoolctl"]
+
 [[package]]
 name = "setuptools"
 version = "69.2.0"
@@ -1340,6 +1562,34 @@ files = [
     {file = "six-1.16.0.tar.gz", hash = "sha256:1e61c37477a1626458e36f7b1d82aa5c9b094fa4802892072e49de9c60c4c926"},
 ]
 
+[[package]]
+name = "sympy"
+version = "1.12"
+description = "Computer algebra system (CAS) in Python"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "sympy-1.12-py3-none-any.whl", hash = "sha256:c3588cd4295d0c0f603d0f2ae780587e64e2efeedb3521e46b9bb1d08d184fa5"},
+    {file = "sympy-1.12.tar.gz", hash = "sha256:ebf595c8dac3e0fdc4152c51878b498396ec7f30e7a914d6071e674d49420fb8"},
+]
+
+[package.dependencies]
+mpmath = ">=0.19"
+
+[[package]]
+name = "tabulate"
+version = "0.9.0"
+description = "Pretty-print tabular data"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "tabulate-0.9.0-py3-none-any.whl", hash = "sha256:024ca478df22e9340661486f85298cff5f6dcdba14f3813e8830015b9ed1948f"},
+    {file = "tabulate-0.9.0.tar.gz", hash = "sha256:0095b12bf5966de529c0feb1fa08671671b3368eec77d7ef7ab114be2c068b3c"},
+]
+
+[package.extras]
+widechars = ["wcwidth"]
+
 [[package]]
 name = "tensorboard"
 version = "2.16.2"
@@ -1413,10 +1663,7 @@ h5py = ">=3.10.0"
 keras = ">=3.0.0"
 libclang = ">=13.0.0"
 ml-dtypes = ">=0.3.1,<0.4.0"
-numpy = [
-    {version = ">=1.23.5,<2.0.0", markers = "python_version <= \"3.11\""},
-    {version = ">=1.26.0,<2.0.0", markers = "python_version >= \"3.12\""},
-]
+numpy = {version = ">=1.23.5,<2.0.0", markers = "python_version <= \"3.11\""}
 opt-einsum = ">=2.3.2"
 packaging = "*"
 protobuf = ">=3.20.3,<4.21.0 || >4.21.0,<4.21.1 || >4.21.1,<4.21.2 || >4.21.2,<4.21.3 || >4.21.3,<4.21.4 || >4.21.4,<4.21.5 || >4.21.5,<5.0.0dev"
@@ -1497,6 +1744,26 @@ files = [
     {file = "tomlkit-0.12.4.tar.gz", hash = "sha256:7ca1cfc12232806517a8515047ba66a19369e71edf2439d0f5824f91032b6cc3"},
 ]
 
+[[package]]
+name = "tqdm"
+version = "4.66.2"
+description = "Fast, Extensible Progress Meter"
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "tqdm-4.66.2-py3-none-any.whl", hash = "sha256:1ee4f8a893eb9bef51c6e35730cebf234d5d0b6bd112b0271e10ed7c24a02bd9"},
+    {file = "tqdm-4.66.2.tar.gz", hash = "sha256:6cd52cdf0fef0e0f543299cfc96fec90d7b8a7e88745f411ec33eb44d5ed3531"},
+]
+
+[package.dependencies]
+colorama = {version = "*", markers = "platform_system == \"Windows\""}
+
+[package.extras]
+dev = ["pytest (>=6)", "pytest-cov", "pytest-timeout", "pytest-xdist"]
+notebook = ["ipywidgets (>=6)"]
+slack = ["slack-sdk"]
+telegram = ["requests"]
+
 [[package]]
 name = "traitlets"
 version = "5.14.2"
@@ -1695,5 +1962,5 @@ testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "p
 
 [metadata]
 lock-version = "2.0"
-python-versions = "^3.9"
-content-hash = "8bcfcbd29c6762b944b5007e8108b77e25d52f8cc99f6a9c2984125f6493771b"
+python-versions = ">=3.9,<3.12"
+content-hash = "53fd39eaabfe864ba16cef4c082aacbeea2c570cfe785e7e1ad811df68892beb"
diff --git a/pyproject.toml b/pyproject.toml
index 6ab0dbe..639a5e0 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -11,10 +11,11 @@ readme = "README.md"
 packages = [{ include = "qiboml", from = "src" }]
 
 [tool.poetry.dependencies]
-python = "^3.9"
+python = ">=3.9,<3.12"
 numpy = "^1.26.4"
 numba = "^0.59.0"
 tensorflow = "^2.16.1"
+qibo = "^0.2.6"
 
 [tool.poetry.group.dev.dependencies]
 ipython = "^7.34"