diff --git a/poetry.lock b/poetry.lock
index b58b6140..6ae89ac8 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -24,13 +24,13 @@ files = [
 
 [[package]]
 name = "astroid"
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+version = "3.2.2"
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 optional = false
 python-versions = ">=3.8.0"
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 [package.dependencies]
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 toml = ["tomli"]
 
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+    {file = "fastrlock-0.8.2-cp39-cp39-win_amd64.whl", hash = "sha256:dd961a32a7182c3891cdebca417fda67496d5d5de6ae636962254d22723bdf52"},
+    {file = "fastrlock-0.8.2.tar.gz", hash = "sha256:644ec9215cf9c4df8028d8511379a15d9c1af3e16d80e47f1b6fdc6ba118356a"},
+]
+
 [[package]]
 name = "future"
 version = "1.0.0"
@@ -584,13 +756,13 @@ files = [
 
 [[package]]
 name = "platformdirs"
-version = "4.2.1"
+version = "4.2.2"
 description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`."
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "platformdirs-4.2.1-py3-none-any.whl", hash = "sha256:17d5a1161b3fd67b390023cb2d3b026bbd40abde6fdb052dfbd3a29c3ba22ee1"},
-    {file = "platformdirs-4.2.1.tar.gz", hash = "sha256:031cd18d4ec63ec53e82dceaac0417d218a6863f7745dfcc9efe7793b7039bdf"},
+    {file = "platformdirs-4.2.2-py3-none-any.whl", hash = "sha256:2d7a1657e36a80ea911db832a8a6ece5ee53d8de21edd5cc5879af6530b1bfee"},
+    {file = "platformdirs-4.2.2.tar.gz", hash = "sha256:38b7b51f512eed9e84a22788b4bce1de17c0adb134d6becb09836e37d8654cd3"},
 ]
 
 [package.extras]
@@ -679,32 +851,31 @@ files = [
 
 [[package]]
 name = "pygments"
-version = "2.17.2"
+version = "2.18.0"
 description = "Pygments is a syntax highlighting package written in Python."
 optional = false
-python-versions = ">=3.7"
+python-versions = ">=3.8"
 files = [
-    {file = "pygments-2.17.2-py3-none-any.whl", hash = "sha256:b27c2826c47d0f3219f29554824c30c5e8945175d888647acd804ddd04af846c"},
-    {file = "pygments-2.17.2.tar.gz", hash = "sha256:da46cec9fd2de5be3a8a784f434e4c4ab670b4ff54d605c4c2717e9d49c4c367"},
+    {file = "pygments-2.18.0-py3-none-any.whl", hash = "sha256:b8e6aca0523f3ab76fee51799c488e38782ac06eafcf95e7ba832985c8e7b13a"},
+    {file = "pygments-2.18.0.tar.gz", hash = "sha256:786ff802f32e91311bff3889f6e9a86e81505fe99f2735bb6d60ae0c5004f199"},
 ]
 
 [package.extras]
-plugins = ["importlib-metadata"]
 windows-terminal = ["colorama (>=0.4.6)"]
 
 [[package]]
 name = "pylint"
-version = "3.1.0"
+version = "3.2.2"
 description = "python code static checker"
 optional = false
 python-versions = ">=3.8.0"
 files = [
-    {file = "pylint-3.1.0-py3-none-any.whl", hash = "sha256:507a5b60953874766d8a366e8e8c7af63e058b26345cfcb5f91f89d987fd6b74"},
-    {file = "pylint-3.1.0.tar.gz", hash = "sha256:6a69beb4a6f63debebaab0a3477ecd0f559aa726af4954fc948c51f7a2549e23"},
+    {file = "pylint-3.2.2-py3-none-any.whl", hash = "sha256:3f8788ab20bb8383e06dd2233e50f8e08949cfd9574804564803441a4946eab4"},
+    {file = "pylint-3.2.2.tar.gz", hash = "sha256:d068ca1dfd735fb92a07d33cb8f288adc0f6bc1287a139ca2425366f7cbe38f8"},
 ]
 
 [package.dependencies]
-astroid = ">=3.1.0,<=3.2.0-dev0"
+astroid = ">=3.2.2,<=3.3.0-dev0"
 colorama = {version = ">=0.4.5", markers = "sys_platform == \"win32\""}
 dill = [
     {version = ">=0.2", markers = "python_version < \"3.11\""},
@@ -809,7 +980,7 @@ torch = ["torch (>=2.1.1,<3.0.0)"]
 type = "git"
 url = "https://github.com/qiboteam/qibo.git"
 reference = "HEAD"
-resolved_reference = "703af36f06afff6dbc4a629a66b17671a8d8bd92"
+resolved_reference = "2ace99a9217116bc2db6e50d811c6e89cb47fe19"
 
 [[package]]
 name = "scipy"
@@ -921,13 +1092,13 @@ files = [
 
 [[package]]
 name = "tomlkit"
-version = "0.12.4"
+version = "0.12.5"
 description = "Style preserving TOML library"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "tomlkit-0.12.4-py3-none-any.whl", hash = "sha256:5cd82d48a3dd89dee1f9d64420aa20ae65cfbd00668d6f094d7578a78efbb77b"},
-    {file = "tomlkit-0.12.4.tar.gz", hash = "sha256:7ca1cfc12232806517a8515047ba66a19369e71edf2439d0f5824f91032b6cc3"},
+    {file = "tomlkit-0.12.5-py3-none-any.whl", hash = "sha256:af914f5a9c59ed9d0762c7b64d3b5d5df007448eb9cd2edc8a46b1eafead172f"},
+    {file = "tomlkit-0.12.5.tar.gz", hash = "sha256:eef34fba39834d4d6b73c9ba7f3e4d1c417a4e56f89a7e96e090dd0d24b8fb3c"},
 ]
 
 [[package]]
@@ -989,20 +1160,24 @@ files = [
 
 [[package]]
 name = "zipp"
-version = "3.18.1"
+version = "3.18.2"
 description = "Backport of pathlib-compatible object wrapper for zip files"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "zipp-3.18.1-py3-none-any.whl", hash = "sha256:206f5a15f2af3dbaee80769fb7dc6f249695e940acca08dfb2a4769fe61e538b"},
-    {file = "zipp-3.18.1.tar.gz", hash = "sha256:2884ed22e7d8961de1c9a05142eb69a247f120291bc0206a00a7642f09b5b715"},
+    {file = "zipp-3.18.2-py3-none-any.whl", hash = "sha256:dce197b859eb796242b0622af1b8beb0a722d52aa2f57133ead08edd5bf5374e"},
+    {file = "zipp-3.18.2.tar.gz", hash = "sha256:6278d9ddbcfb1f1089a88fde84481528b07b0e10474e09dcfe53dad4069fa059"},
 ]
 
 [package.extras]
 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)"]
+testing = ["big-O", "jaraco.functools", "jaraco.itertools", "jaraco.test", "more-itertools", "pytest (>=6,!=8.1.*)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-ignore-flaky", "pytest-mypy", "pytest-ruff (>=0.2.1)"]
+
+[extras]
+cupy = ["cupy-cuda12x"]
+cuquantum = ["cuquantum-python-cu12"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = "^3.9,<3.13"
-content-hash = "db9b42481764b779219af70186a2d469b2bf2b888dd52c5a7bde3d9770d5470b"
+content-hash = "bc38d881d34e9ced1140c3360fe8b56c68a146fd5bf1d7338cc13294e0cfd71f"
diff --git a/pyproject.toml b/pyproject.toml
index 58d56394..1bb2073f 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -25,6 +25,8 @@ numba = ">=0.59.0"
 qibo = { git="https://github.com/qiboteam/qibo.git" }
 scipy = "^1.10.1"
 psutil = "^5.9.5"
+cupy-cuda12x = { version = "^13.1.0", optional = true }
+cuquantum-python-cu12 = { version = "^23.10.0", optional = true }
 
 [tool.poetry.group.dev.dependencies]
 ipython = "^7.0"
@@ -38,6 +40,10 @@ pylint = "^3.0.3"
 pytest-cov = "^4.1.0"
 pytest-env = "^0.8.1"
 
+[tool.poetry.extras]
+cupy = ["cupy-cuda12x"]
+cuquantum = ["cuquantum-python-cu12"]
+
 [tool.poe.tasks]
 test = "pytest"
 lint = "pylint src/**/*.py -E"
diff --git a/src/qibojit/backends/gpu.py b/src/qibojit/backends/gpu.py
index c00d233c..a46f2589 100644
--- a/src/qibojit/backends/gpu.py
+++ b/src/qibojit/backends/gpu.py
@@ -502,9 +502,12 @@ def calculate_matrix_exp(self, a, matrix, eigenvectors=None, eigenvalues=None):
         if eigenvectors is None or self.issparse(matrix):
             if self.issparse(matrix):
                 from scipy.sparse.linalg import expm
+
+                return self.cast(expm(-1j * a * matrix.get()))
             else:
-                from scipy.linalg import expm
-            return self.cast(expm(-1j * a * matrix.get()))
+                from cupyx.scipy.linalg import expm  # pylint: disable=import-error
+
+                return self.cast(expm(-1j * a * matrix))
         else:
             expd = self.cp.diag(self.cp.exp(-1j * a * eigenvalues))
             ud = self.cp.transpose(self.cp.conj(eigenvectors))
diff --git a/src/qibojit/custom_operators/ops.py b/src/qibojit/custom_operators/ops.py
index 215d75fe..47fd07af 100644
--- a/src/qibojit/custom_operators/ops.py
+++ b/src/qibojit/custom_operators/ops.py
@@ -109,10 +109,11 @@ def measure_frequencies(frequencies, probs, nshots, nqubits, seed, nthreads):
     for n in prange(nthreads):  # pylint: disable=not-an-iterable
         frequencies_private = thread_frequencies[n]
         np.random.seed(thread_seed[n])
+        shot = probs.argmax()
         for i in range(thread_nshots[n]):
-            if i == 0:
-                # Initial bitstring is the one with the maximum probability
-                shot = probs.argmax()
+            # if i == 0:
+            #     # Initial bitstring is the one with the maximum probability
+            #     shot = probs.argmax()
             new_shot = (shot + np.random.randint(0, nstates)) % nstates
             # accept or reject move
             if probs[new_shot] / probs[shot] > np.random.random():