From b246086ac0f4d8dcece856d6f87cc3bc018a5613 Mon Sep 17 00:00:00 2001
From: Andrea <andreapasquale97@gmail.com>
Date: Thu, 22 Feb 2024 09:05:52 +0100
Subject: [PATCH 1/5] feat: Add cupy expm

---
 src/qibojit/backends/gpu.py | 7 +++++--
 1 file changed, 5 insertions(+), 2 deletions(-)

diff --git a/src/qibojit/backends/gpu.py b/src/qibojit/backends/gpu.py
index c00d233c..0132b085 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
+
+                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))

From b3020fab5145eed928b05731c597ce6f98b05f7e Mon Sep 17 00:00:00 2001
From: Andrea <andreapasquale97@gmail.com>
Date: Mon, 22 Apr 2024 13:05:22 +0200
Subject: [PATCH 2/5] fix: pylint

---
 src/qibojit/backends/gpu.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/qibojit/backends/gpu.py b/src/qibojit/backends/gpu.py
index 0132b085..a46f2589 100644
--- a/src/qibojit/backends/gpu.py
+++ b/src/qibojit/backends/gpu.py
@@ -505,7 +505,7 @@ def calculate_matrix_exp(self, a, matrix, eigenvectors=None, eigenvalues=None):
 
                 return self.cast(expm(-1j * a * matrix.get()))
             else:
-                from cupyx.scipy.linalg import expm
+                from cupyx.scipy.linalg import expm  # pylint: disable=import-error
 
                 return self.cast(expm(-1j * a * matrix))
         else:

From 4a1ce01e8e97b4209a0ff85279eaa4216a153ef7 Mon Sep 17 00:00:00 2001
From: Andrea <andreapasquale97@gmail.com>
Date: Wed, 8 May 2024 12:38:03 +0400
Subject: [PATCH 3/5] build: Add extras for cupy and cuquantum

---
 poetry.lock    | 1679 ++++++++++++------------------------------------
 pyproject.toml |    6 +
 2 files changed, 410 insertions(+), 1275 deletions(-)

diff --git a/poetry.lock b/poetry.lock
index 86c2bd2c..e0f769e7 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,15 +1,4 @@
-# This file is automatically @generated by Poetry 1.8.1 and should not be changed by hand.
-
-[[package]]
-name = "absl-py"
-version = "2.1.0"
-description = "Abseil Python Common Libraries, see https://github.com/abseil/abseil-py."
-optional = false
-python-versions = ">=3.7"
-files = [
-    {file = "absl-py-2.1.0.tar.gz", hash = "sha256:7820790efbb316739cde8b4e19357243fc3608a152024288513dd968d7d959ff"},
-    {file = "absl_py-2.1.0-py3-none-any.whl", hash = "sha256:526a04eadab8b4ee719ce68f204172ead1027549089702d99b9059f129ff1308"},
-]
+# This file is automatically @generated by Poetry 1.8.2 and should not be changed by hand.
 
 [[package]]
 name = "antlr4-python3-runtime"
@@ -52,21 +41,6 @@ wrapt = [
     {version = ">=1.14,<2", markers = "python_version >= \"3.11\""},
 ]
 
-[[package]]
-name = "astunparse"
-version = "1.6.3"
-description = "An AST unparser for Python"
-optional = false
-python-versions = "*"
-files = [
-    {file = "astunparse-1.6.3-py2.py3-none-any.whl", hash = "sha256:c2652417f2c8b5bb325c885ae329bdf3f86424075c4fd1a128674bc6fba4b8e8"},
-    {file = "astunparse-1.6.3.tar.gz", hash = "sha256:5ad93a8456f0d084c3456d059fd9a92cce667963232cbf763eac3bc5b7940872"},
-]
-
-[package.dependencies]
-six = ">=1.6.1,<2.0"
-wheel = ">=0.23.0,<1.0"
-
 [[package]]
 name = "backcall"
 version = "0.2.0"
@@ -78,148 +52,6 @@ files = [
     {file = "backcall-0.2.0.tar.gz", hash = "sha256:5cbdbf27be5e7cfadb448baf0aa95508f91f2bbc6c6437cd9cd06e2a4c215e1e"},
 ]
 
-[[package]]
-name = "cachetools"
-version = "5.3.3"
-description = "Extensible memoizing collections and decorators"
-optional = false
-python-versions = ">=3.7"
-files = [
-    {file = "cachetools-5.3.3-py3-none-any.whl", hash = "sha256:0abad1021d3f8325b2fc1d2e9c8b9c9d57b04c3932657a72465447332c24d945"},
-    {file = "cachetools-5.3.3.tar.gz", hash = "sha256:ba29e2dfa0b8b556606f097407ed1aa62080ee108ab0dc5ec9d6a723a007d105"},
-]
-
-[[package]]
-name = "certifi"
-version = "2024.2.2"
-description = "Python package for providing Mozilla's CA Bundle."
-optional = false
-python-versions = ">=3.6"
-files = [
-    {file = "certifi-2024.2.2-py3-none-any.whl", hash = "sha256:dc383c07b76109f368f6106eee2b593b04a011ea4d55f652c6ca24a754d1cdd1"},
-    {file = "certifi-2024.2.2.tar.gz", hash = "sha256:0569859f95fc761b18b45ef421b1290a0f65f147e92a1e5eb3e635f9a5e4e66f"},
-]
-
-[[package]]
-name = "charset-normalizer"
-version = "3.3.2"
-description = "The Real First Universal Charset Detector. Open, modern and actively maintained alternative to Chardet."
-optional = false
-python-versions = ">=3.7.0"
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@@ -676,35 +409,24 @@ dev = ["black", "nose", "pre-commit", "pytest"]
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-signedtoken = ["cryptography (>=3.0.0)", "pyjwt (>=2.0.0,<3)"]
-
 [[package]]
 name = "openqasm3"
 version = "0.5.0"
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 tests = ["pytest (>=6.0)", "pyyaml"]
 
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-tests = ["pytest", "pytest-cov", "pytest-pep8"]
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-
 [[package]]
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+version = "24.0"
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 python-versions = ">=3.7"
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 name = "parso"
-version = "0.8.3"
+version = "0.8.4"
 description = "A Python Parser"
 optional = false
 python-versions = ">=3.6"
 files = [
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 [package.extras]
-qa = ["flake8 (==3.8.3)", "mypy (==0.782)"]
-testing = ["docopt", "pytest (<6.0.0)"]
+qa = ["flake8 (==5.0.4)", "mypy (==0.971)", "types-setuptools (==67.2.0.1)"]
+testing = ["docopt", "pytest"]
 
 [[package]]
 name = "pexpect"
@@ -1316,28 +807,29 @@ files = [
 
 [[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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 test = ["appdirs (==1.4.4)", "covdefaults (>=2.3)", "pytest (>=7.4.3)", "pytest-cov (>=4.1)", "pytest-mock (>=3.12)"]
+type = ["mypy (>=1.8)"]
 
 [[package]]
 name = "pluggy"
-version = "1.4.0"
+version = "1.5.0"
 description = "plugin and hook calling mechanisms for python"
 optional = false
 python-versions = ">=3.8"
 files = [
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 [package.extras]
@@ -1358,26 +850,6 @@ files = [
 [package.dependencies]
 wcwidth = "*"
 
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 [package.extras]
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+    {file = "wrapt-1.16.0-cp39-cp39-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:b47cfad9e9bbbed2339081f4e346c93ecd7ab504299403320bf85f7f85c7d46c"},
+    {file = "wrapt-1.16.0-cp39-cp39-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:f8212564d49c50eb4565e502814f694e240c55551a5f1bc841d4fcaabb0a9b8a"},
+    {file = "wrapt-1.16.0-cp39-cp39-musllinux_1_1_aarch64.whl", hash = "sha256:5f15814a33e42b04e3de432e573aa557f9f0f56458745c2074952f564c50e664"},
+    {file = "wrapt-1.16.0-cp39-cp39-musllinux_1_1_i686.whl", hash = "sha256:db2e408d983b0e61e238cf579c09ef7020560441906ca990fe8412153e3b291f"},
+    {file = "wrapt-1.16.0-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:edfad1d29c73f9b863ebe7082ae9321374ccb10879eeabc84ba3b69f2579d537"},
+    {file = "wrapt-1.16.0-cp39-cp39-win32.whl", hash = "sha256:ed867c42c268f876097248e05b6117a65bcd1e63b779e916fe2e33cd6fd0d3c3"},
+    {file = "wrapt-1.16.0-cp39-cp39-win_amd64.whl", hash = "sha256:eb1b046be06b0fce7249f1d025cd359b4b80fc1c3e24ad9eca33e0dcdb2e4a35"},
+    {file = "wrapt-1.16.0-py3-none-any.whl", hash = "sha256:6906c4100a8fcbf2fa735f6059214bb13b97f75b1a61777fcf6432121ef12ef1"},
+    {file = "wrapt-1.16.0.tar.gz", hash = "sha256:5f370f952971e7d17c7d1ead40e49f32345a7f7a5373571ef44d800d06b1899d"},
 ]
 
 [[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]
+cupy = ["cupy-cuda12x"]
+cuquantum = ["cuquantum-python-cu12"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.9.0,<3.12"
-content-hash = "88ee4efeef767f3900df64a7faf9df62ff3bae29e630120602f7f14b7736a482"
+content-hash = "4abe8818fc4e6b8c84399cbcc5b74450b84d15e61504ed1dc06e707e8f6fae60"
diff --git a/pyproject.toml b/pyproject.toml
index e83d8bbb..5f9b67f1 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -25,6 +25,8 @@ numba=">=0.51.0"
 qibo=">=0.2.5"
 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 = "^2.17.4"
 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"

From b6748146ec65db513c2bd81c86f3885362bcf542 Mon Sep 17 00:00:00 2001
From: Andrea <andreapasquale97@gmail.com>
Date: Wed, 8 May 2024 13:16:56 +0400
Subject: [PATCH 4/5] build: generate lock

---
 .envrc                                        |   4 +-
 .github/workflows/deploy.yml                  |   2 +-
 .github/workflows/rules.yml                   |   2 +-
 .pre-commit-config.yaml                       |   2 +-
 flake.lock                                    |  18 +-
 flake.nix                                     |   2 +-
 poetry.lock                                   | 194 ++-----
 pyproject.toml                                |  12 +-
 .../backends/clifford_operations_cpu.py       | 153 +++--
 .../backends/clifford_operations_gpu.py       | 542 +++++++++---------
 src/qibojit/backends/matrices.py              |   4 +
 11 files changed, 413 insertions(+), 522 deletions(-)

diff --git a/.envrc b/.envrc
index 01f5f41d..3af52d88 100644
--- a/.envrc
+++ b/.envrc
@@ -2,8 +2,8 @@ if ! has nix_direnv_version || ! nix_direnv_version 2.2.1; then
   source_url "https://raw.githubusercontent.com/nix-community/nix-direnv/2.2.1/direnvrc" "sha256-zelF0vLbEl5uaqrfIzbgNzJWGmLzCmYAkInj/LNxvKs="
 fi
 
-nix_direnv_watch_file flake.nix
-nix_direnv_watch_file flake.lock
+watch_file flake.nix
+watch_file flake.lock
 if ! use flake . --impure; then
   echo "devenv could not be built. The devenv environment was not loaded. Make the necessary changes to devenv.nix and hit enter to try again." >&2
 fi
diff --git a/.github/workflows/deploy.yml b/.github/workflows/deploy.yml
index 15da9e52..d49ce770 100644
--- a/.github/workflows/deploy.yml
+++ b/.github/workflows/deploy.yml
@@ -12,7 +12,7 @@ jobs:
     strategy:
       matrix:
         os: [ubuntu-latest, macos-latest, windows-latest]
-        python-version: [3.9, '3.10', '3.11']
+        python-version: [3.9, '3.10', '3.11', '3.12']
     uses: qiboteam/workflows/.github/workflows/deploy-pip-poetry.yml@main
     with:
       os: ${{ matrix.os }}
diff --git a/.github/workflows/rules.yml b/.github/workflows/rules.yml
index 6714c57a..a66c8729 100644
--- a/.github/workflows/rules.yml
+++ b/.github/workflows/rules.yml
@@ -10,7 +10,7 @@ jobs:
     strategy:
       matrix:
         os: [ubuntu-latest, macos-latest, windows-latest]
-        python-version: [3.9, '3.10', '3.11']
+        python-version: [3.9, '3.10', '3.11', '3.12']
     uses: qiboteam/workflows/.github/workflows/rules-poetry.yml@main
     with:
       os: ${{ matrix.os }}
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index e1a2de79..003ac5d0 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -9,7 +9,7 @@ repos:
       - id: check-yaml
       - id: debug-statements
   - repo: https://github.com/psf/black
-    rev: 24.3.0
+    rev: 24.4.2
     hooks:
       - id: black
   - repo: https://github.com/pycqa/isort
diff --git a/flake.lock b/flake.lock
index 19bf8725..fa21b5b7 100644
--- a/flake.lock
+++ b/flake.lock
@@ -8,11 +8,11 @@
         "pre-commit-hooks": "pre-commit-hooks"
       },
       "locked": {
-        "lastModified": 1707817777,
-        "narHash": "sha256-vHyIs1OULQ3/91wD6xOiuayfI71JXALGA5KLnDKAcy0=",
+        "lastModified": 1708701802,
+        "narHash": "sha256-OvpkuB5Lx8eomwUgUT4s10fzbrDnPCtCsxOlZ63hYFI=",
         "owner": "cachix",
         "repo": "devenv",
-        "rev": "5a30b9e5ac7c6167e61b1f4193d5130bb9f8defa",
+        "rev": "fa9a708e240c6174f9fc4c6eefbc6a89ce01c350",
         "type": "github"
       },
       "original": {
@@ -175,11 +175,11 @@
         ]
       },
       "locked": {
-        "lastModified": 1707114737,
-        "narHash": "sha256-ZXqv2epXAjDjfWbYn+yy4VOmW+C7SuUBoiZkkDoSqA4=",
+        "lastModified": 1709097567,
+        "narHash": "sha256-+lmEJrpvsK+jAsIpujYYT1bA8UZT/gZgFF0Ok2YvjxQ=",
         "owner": "cachix",
         "repo": "nixpkgs-python",
-        "rev": "f34ed02276bc08fe1c91c1bf0ef3589d68028878",
+        "rev": "d039278e75ea2208a3d3d2595c83a90c428f6aa7",
         "type": "github"
       },
       "original": {
@@ -222,11 +222,11 @@
     },
     "nixpkgs_2": {
       "locked": {
-        "lastModified": 1707956935,
-        "narHash": "sha256-ZL2TrjVsiFNKOYwYQozpbvQSwvtV/3Me7Zwhmdsfyu4=",
+        "lastModified": 1708984720,
+        "narHash": "sha256-gJctErLbXx4QZBBbGp78PxtOOzsDaQ+yw1ylNQBuSUY=",
         "owner": "NixOS",
         "repo": "nixpkgs",
-        "rev": "a4d4fe8c5002202493e87ec8dbc91335ff55552c",
+        "rev": "13aff9b34cc32e59d35c62ac9356e4a41198a538",
         "type": "github"
       },
       "original": {
diff --git a/flake.nix b/flake.nix
index e4e82435..cc48f0c8 100644
--- a/flake.nix
+++ b/flake.nix
@@ -47,7 +47,7 @@
                   install.groups = ["dev" "test"];
                   install.allExtras = true;
                 };
-                version = "3.11";
+                version = "3.12";
               };
             }
           ];
diff --git a/poetry.lock b/poetry.lock
index e0f769e7..ae65ddd4 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -24,22 +24,17 @@ files = [
 
 [[package]]
 name = "astroid"
-version = "2.15.8"
+version = "3.1.0"
 description = "An abstract syntax tree for Python with inference support."
 optional = false
-python-versions = ">=3.7.2"
+python-versions = ">=3.8.0"
 files = [
-    {file = "astroid-2.15.8-py3-none-any.whl", hash = "sha256:1aa149fc5c6589e3d0ece885b4491acd80af4f087baafa3fb5203b113e68cd3c"},
-    {file = "astroid-2.15.8.tar.gz", hash = "sha256:6c107453dffee9055899705de3c9ead36e74119cee151e5a9aaf7f0b0e020a6a"},
+    {file = "astroid-3.1.0-py3-none-any.whl", hash = "sha256:951798f922990137ac090c53af473db7ab4e70c770e6d7fae0cec59f74411819"},
+    {file = "astroid-3.1.0.tar.gz", hash = "sha256:ac248253bfa4bd924a0de213707e7ebeeb3138abeb48d798784ead1e56d419d4"},
 ]
 
 [package.dependencies]
-lazy-object-proxy = ">=1.4.0"
 typing-extensions = {version = ">=4.0.0", markers = "python_version < \"3.11\""}
-wrapt = [
-    {version = ">=1.11,<2", markers = "python_version < \"3.11\""},
-    {version = ">=1.14,<2", markers = "python_version >= \"3.11\""},
-]
 
 [[package]]
 name = "backcall"
@@ -519,52 +514,6 @@ files = [
     {file = "joblib-1.4.2.tar.gz", hash = "sha256:2382c5816b2636fbd20a09e0f4e9dad4736765fdfb7dca582943b9c1366b3f0e"},
 ]
 
-[[package]]
-name = "lazy-object-proxy"
-version = "1.10.0"
-description = "A fast and thorough lazy object proxy."
-optional = false
-python-versions = ">=3.8"
-files = [
-    {file = "lazy-object-proxy-1.10.0.tar.gz", hash = "sha256:78247b6d45f43a52ef35c25b5581459e85117225408a4128a3daf8bf9648ac69"},
-    {file = "lazy_object_proxy-1.10.0-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:855e068b0358ab916454464a884779c7ffa312b8925c6f7401e952dcf3b89977"},
-    {file = "lazy_object_proxy-1.10.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:7ab7004cf2e59f7c2e4345604a3e6ea0d92ac44e1c2375527d56492014e690c3"},
-    {file = "lazy_object_proxy-1.10.0-cp310-cp310-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:dc0d2fc424e54c70c4bc06787e4072c4f3b1aa2f897dfdc34ce1013cf3ceef05"},
-    {file = "lazy_object_proxy-1.10.0-cp310-cp310-musllinux_1_1_aarch64.whl", hash = "sha256:e2adb09778797da09d2b5ebdbceebf7dd32e2c96f79da9052b2e87b6ea495895"},
-    {file = "lazy_object_proxy-1.10.0-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:b1f711e2c6dcd4edd372cf5dec5c5a30d23bba06ee012093267b3376c079ec83"},
-    {file = "lazy_object_proxy-1.10.0-cp310-cp310-win32.whl", hash = "sha256:76a095cfe6045c7d0ca77db9934e8f7b71b14645f0094ffcd842349ada5c5fb9"},
-    {file = "lazy_object_proxy-1.10.0-cp310-cp310-win_amd64.whl", hash = "sha256:b4f87d4ed9064b2628da63830986c3d2dca7501e6018347798313fcf028e2fd4"},
-    {file = "lazy_object_proxy-1.10.0-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:fec03caabbc6b59ea4a638bee5fce7117be8e99a4103d9d5ad77f15d6f81020c"},
-    {file = "lazy_object_proxy-1.10.0-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:02c83f957782cbbe8136bee26416686a6ae998c7b6191711a04da776dc9e47d4"},
-    {file = "lazy_object_proxy-1.10.0-cp311-cp311-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:009e6bb1f1935a62889ddc8541514b6a9e1fcf302667dcb049a0be5c8f613e56"},
-    {file = "lazy_object_proxy-1.10.0-cp311-cp311-musllinux_1_1_aarch64.whl", hash = "sha256:75fc59fc450050b1b3c203c35020bc41bd2695ed692a392924c6ce180c6f1dc9"},
-    {file = "lazy_object_proxy-1.10.0-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:782e2c9b2aab1708ffb07d4bf377d12901d7a1d99e5e410d648d892f8967ab1f"},
-    {file = "lazy_object_proxy-1.10.0-cp311-cp311-win32.whl", hash = "sha256:edb45bb8278574710e68a6b021599a10ce730d156e5b254941754a9cc0b17d03"},
-    {file = "lazy_object_proxy-1.10.0-cp311-cp311-win_amd64.whl", hash = "sha256:e271058822765ad5e3bca7f05f2ace0de58a3f4e62045a8c90a0dfd2f8ad8cc6"},
-    {file = "lazy_object_proxy-1.10.0-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:e98c8af98d5707dcdecc9ab0863c0ea6e88545d42ca7c3feffb6b4d1e370c7ba"},
-    {file = "lazy_object_proxy-1.10.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:952c81d415b9b80ea261d2372d2a4a2332a3890c2b83e0535f263ddfe43f0d43"},
-    {file = "lazy_object_proxy-1.10.0-cp312-cp312-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:80b39d3a151309efc8cc48675918891b865bdf742a8616a337cb0090791a0de9"},
-    {file = "lazy_object_proxy-1.10.0-cp312-cp312-musllinux_1_1_aarch64.whl", hash = "sha256:e221060b701e2aa2ea991542900dd13907a5c90fa80e199dbf5a03359019e7a3"},
-    {file = "lazy_object_proxy-1.10.0-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:92f09ff65ecff3108e56526f9e2481b8116c0b9e1425325e13245abfd79bdb1b"},
-    {file = "lazy_object_proxy-1.10.0-cp312-cp312-win32.whl", hash = "sha256:3ad54b9ddbe20ae9f7c1b29e52f123120772b06dbb18ec6be9101369d63a4074"},
-    {file = "lazy_object_proxy-1.10.0-cp312-cp312-win_amd64.whl", hash = "sha256:127a789c75151db6af398b8972178afe6bda7d6f68730c057fbbc2e96b08d282"},
-    {file = "lazy_object_proxy-1.10.0-cp38-cp38-macosx_10_9_x86_64.whl", hash = "sha256:9e4ed0518a14dd26092614412936920ad081a424bdcb54cc13349a8e2c6d106a"},
-    {file = "lazy_object_proxy-1.10.0-cp38-cp38-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:5ad9e6ed739285919aa9661a5bbed0aaf410aa60231373c5579c6b4801bd883c"},
-    {file = "lazy_object_proxy-1.10.0-cp38-cp38-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:2fc0a92c02fa1ca1e84fc60fa258458e5bf89d90a1ddaeb8ed9cc3147f417255"},
-    {file = "lazy_object_proxy-1.10.0-cp38-cp38-musllinux_1_1_aarch64.whl", hash = "sha256:0aefc7591920bbd360d57ea03c995cebc204b424524a5bd78406f6e1b8b2a5d8"},
-    {file = "lazy_object_proxy-1.10.0-cp38-cp38-musllinux_1_1_x86_64.whl", hash = "sha256:5faf03a7d8942bb4476e3b62fd0f4cf94eaf4618e304a19865abf89a35c0bbee"},
-    {file = "lazy_object_proxy-1.10.0-cp38-cp38-win32.whl", hash = "sha256:e333e2324307a7b5d86adfa835bb500ee70bfcd1447384a822e96495796b0ca4"},
-    {file = "lazy_object_proxy-1.10.0-cp38-cp38-win_amd64.whl", hash = "sha256:cb73507defd385b7705c599a94474b1d5222a508e502553ef94114a143ec6696"},
-    {file = "lazy_object_proxy-1.10.0-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:366c32fe5355ef5fc8a232c5436f4cc66e9d3e8967c01fb2e6302fd6627e3d94"},
-    {file = "lazy_object_proxy-1.10.0-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:2297f08f08a2bb0d32a4265e98a006643cd7233fb7983032bd61ac7a02956b3b"},
-    {file = "lazy_object_proxy-1.10.0-cp39-cp39-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:18dd842b49456aaa9a7cf535b04ca4571a302ff72ed8740d06b5adcd41fe0757"},
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-
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 version = "0.42.0"
@@ -916,23 +865,24 @@ windows-terminal = ["colorama (>=0.4.6)"]
 
 [[package]]
 name = "pylint"
-version = "2.17.7"
+version = "3.1.0"
 description = "python code static checker"
 optional = false
-python-versions = ">=3.7.2"
+python-versions = ">=3.8.0"
 files = [
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 [package.dependencies]
-astroid = ">=2.15.8,<=2.17.0-dev0"
+astroid = ">=3.1.0,<=3.2.0-dev0"
 colorama = {version = ">=0.4.5", markers = "sys_platform == \"win32\""}
 dill = [
     {version = ">=0.2", markers = "python_version < \"3.11\""},
-    {version = ">=0.3.6", markers = "python_version >= \"3.11\""},
+    {version = ">=0.3.7", markers = "python_version >= \"3.12\""},
+    {version = ">=0.3.6", markers = "python_version >= \"3.11\" and python_version < \"3.12\""},
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-isort = ">=4.2.5,<6"
+isort = ">=4.2.5,<5.13.0 || >5.13.0,<6"
 mccabe = ">=0.6,<0.8"
 platformdirs = ">=2.2.0"
 tomli = {version = ">=1.1.0", markers = "python_version < \"3.11\""}
@@ -1002,31 +952,36 @@ test = ["coverage (>=7.2.7)", "pytest-mock (>=3.10)"]
 
 [[package]]
 name = "qibo"
-version = "0.2.7"
+version = "0.2.8"
 description = "A framework for quantum computing with hardware acceleration."
 optional = false
-python-versions = "<3.12,>=3.9"
-files = [
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+files = []
+develop = false
 
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-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"
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+networkx = "^3.2.1"
+numpy = "^1.26.4"
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-sympy = ">=1.11.1,<2.0.0"
-tabulate = ">=0.9.0,<0.10.0"
+scipy = "^1.10.1"
+setuptools = "^69.1.1"
+sympy = "^1.11.1"
+tabulate = "^0.9.0"
 
 [package.extras]
-qinfo = ["cvxpy (>=1.4.2,<2.0.0)"]
-tensorflow = ["tensorflow (>=2.14.1,<2.16)"]
+qinfo = []
+tensorflow = ["tensorflow (>=2.16.1,<3.0.0)"]
 torch = ["torch (>=2.1.1,<3.0.0)"]
 
+[package.source]
+type = "git"
+url = "https://github.com/qiboteam/qibo.git"
+reference = "HEAD"
+resolved_reference = "c132711dbf1eb26399b4c4aef26921c683ac00cd"
+
 [[package]]
 name = "scipy"
 version = "1.13.0"
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-    {file = "wrapt-1.16.0-cp39-cp39-win32.whl", hash = "sha256:ed867c42c268f876097248e05b6117a65bcd1e63b779e916fe2e33cd6fd0d3c3"},
-    {file = "wrapt-1.16.0-cp39-cp39-win_amd64.whl", hash = "sha256:eb1b046be06b0fce7249f1d025cd359b4b80fc1c3e24ad9eca33e0dcdb2e4a35"},
-    {file = "wrapt-1.16.0-py3-none-any.whl", hash = "sha256:6906c4100a8fcbf2fa735f6059214bb13b97f75b1a61777fcf6432121ef12ef1"},
-    {file = "wrapt-1.16.0.tar.gz", hash = "sha256:5f370f952971e7d17c7d1ead40e49f32345a7f7a5373571ef44d800d06b1899d"},
-]
-
 [[package]]
 name = "zipp"
 version = "3.18.1"
@@ -1303,5 +1179,5 @@ cuquantum = ["cuquantum-python-cu12"]
 
 [metadata]
 lock-version = "2.0"
-python-versions = ">=3.9.0,<3.12"
-content-hash = "4abe8818fc4e6b8c84399cbcc5b74450b84d15e61504ed1dc06e707e8f6fae60"
+python-versions = "^3.9,<3.13"
+content-hash = "bc38d881d34e9ced1140c3360fe8b56c68a146fd5bf1d7338cc13294e0cfd71f"
diff --git a/pyproject.toml b/pyproject.toml
index 5f9b67f1..1bb2073f 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -20,9 +20,9 @@ classifiers = [
 ]
 
 [tool.poetry.dependencies]
-python=">=3.9.0,<3.12"
-numba=">=0.51.0"
-qibo=">=0.2.5"
+python = "^3.9,<3.13"
+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 }
@@ -36,7 +36,7 @@ optional = true
 
 [tool.poetry.group.test.dependencies]
 pytest = "^7.3.1"
-pylint = "^2.17.4"
+pylint = "^3.0.3"
 pytest-cov = "^4.1.0"
 pytest-env = "^0.8.1"
 
@@ -56,9 +56,7 @@ output-format = "colorized"
 output-format = "colorized"
 
 [tool.coverage.run]
-omit = [
-     "src/qibojit/backends/clifford_operations*",
-]
+omit = ["src/qibojit/backends/clifford_operations*"]
 
 [tool.pytest.ini_options]
 testpaths = ['src/qibojit/tests/']
diff --git a/src/qibojit/backends/clifford_operations_cpu.py b/src/qibojit/backends/clifford_operations_cpu.py
index 9d595165..5e7d479f 100644
--- a/src/qibojit/backends/clifford_operations_cpu.py
+++ b/src/qibojit/backends/clifford_operations_cpu.py
@@ -3,12 +3,22 @@
 import numpy as np
 from numba import njit, prange, uint64
 
+PARALLEL = False
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+
+@njit("Tuple((u1[:], u1[:,:], u1[:,:]))(u1[:,:], u8)", parallel=PARALLEL, cache=True)
+def _get_rxz(symplectic_matrix, nqubits):
+    return (
+        symplectic_matrix[:, -1],
+        symplectic_matrix[:, :nqubits],
+        symplectic_matrix[:, nqubits:-1],
+    )
+
+
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def H(symplectic_matrix, q, nqubits):
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (x[i, q] & z[i, q])
         tmp = symplectic_matrix[i, q]
@@ -17,27 +27,23 @@ def H(symplectic_matrix, q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8, u8)", parallel=PARALLEL, cache=True)
 def CNOT(symplectic_matrix, control_q, target_q, nqubits):
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
 
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
-        symplectic_matrix[i, -1] = r[i] ^ (x[i, control_q] & z[i, target_q]) & (
+        r[i] = r[i] ^ (x[i, control_q] & z[i, target_q]) & (
             x[i, target_q] ^ ~z[i, control_q]
         )
-        symplectic_matrix[i, target_q] = x[i, target_q] ^ x[i, control_q]
-        symplectic_matrix[i, nqubits + control_q] = z[i, control_q] ^ z[i, target_q]
+        x[i, target_q] = x[i, target_q] ^ x[i, control_q]
+        z[i, control_q] = z[i, control_q] ^ z[i, target_q]
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8, u8)", parallel=PARALLEL, cache=True)
 def CZ(symplectic_matrix, control_q, target_q, nqubits):
     """Decomposition --> H-CNOT-H"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
 
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = (
@@ -48,28 +54,26 @@ def CZ(symplectic_matrix, control_q, target_q, nqubits):
         )
         z_control_q = x[i, target_q] ^ z[i, control_q]
         z_target_q = z[i, target_q] ^ x[i, control_q]
-        symplectic_matrix[i, nqubits + control_q] = z_control_q
-        symplectic_matrix[i, nqubits + target_q] = z_target_q
+        z[i, control_q] = z_control_q
+        z[i, target_q] = z_target_q
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def S(symplectic_matrix, q, nqubits):
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (x[i, q] & z[i, q])
         symplectic_matrix[i, nqubits + q] = z[i, q] ^ x[i, q]
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def Z(symplectic_matrix, q, nqubits):
     """Decomposition --> S-S"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (
             (x[i, q] & z[i, q]) ^ x[i, q] & (z[i, q] ^ x[i, q])
@@ -77,12 +81,11 @@ def Z(symplectic_matrix, q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def X(symplectic_matrix, q, nqubits):
     """Decomposition --> H-S-S-H"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = (
             r[i] ^ (z[i, q] & (z[i, q] ^ x[i, q])) ^ (z[i, q] & x[i, q])
@@ -90,12 +93,11 @@ def X(symplectic_matrix, q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def Y(symplectic_matrix, q, nqubits):
     """Decomposition --> S-S-H-S-S-H"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = (
             r[i] ^ (z[i, q] & (z[i, q] ^ x[i, q])) ^ (x[i, q] & (z[i, q] ^ x[i, q]))
@@ -103,48 +105,44 @@ def Y(symplectic_matrix, q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def SX(symplectic_matrix, q, nqubits):
     """Decomposition --> H-S-H"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (z[i, q] & (z[i, q] ^ x[i, q]))
         symplectic_matrix[i, q] = z[i, q] ^ x[i, q]
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def SDG(symplectic_matrix, q, nqubits):
     """Decomposition --> S-S-S"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (x[i, q] & (z[i, q] ^ x[i, q]))
         symplectic_matrix[i, nqubits + q] = z[i, q] ^ x[i, q]
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def SXDG(symplectic_matrix, q, nqubits):
     """Decomposition --> H-S-S-S-H"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (z[i, q] & x[i, q])
         symplectic_matrix[i, q] = z[i, q] ^ x[i, q]
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def RY_pi(symplectic_matrix, q, nqubits):
     """Decomposition --> H-S-S"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (x[i, q] & (z[i, q] ^ x[i, q]))
         zq = symplectic_matrix[i, nqubits + q]
@@ -153,12 +151,11 @@ def RY_pi(symplectic_matrix, q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8)", parallel=PARALLEL, cache=True)
 def RY_3pi_2(symplectic_matrix, q, nqubits):
     """Decomposition --> H-S-S"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = r[i] ^ (z[i, q] & (z[i, q] ^ x[i, q]))
         zq = symplectic_matrix[i, nqubits + q]
@@ -167,12 +164,11 @@ def RY_3pi_2(symplectic_matrix, q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8, u8)", parallel=PARALLEL, cache=True)
 def SWAP(symplectic_matrix, control_q, target_q, nqubits):
     """Decomposition --> CNOT-CNOT-CNOT"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = (
             r[i]
@@ -199,12 +195,11 @@ def SWAP(symplectic_matrix, control_q, target_q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8, u8)", parallel=PARALLEL, cache=True)
 def iSWAP(symplectic_matrix, control_q, target_q, nqubits):
     """Decomposition --> H-CNOT-CNOT-H-S-S"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = (
             r[i]
@@ -233,12 +228,11 @@ def iSWAP(symplectic_matrix, control_q, target_q, nqubits):
     return symplectic_matrix
 
 
-@njit("b1[:,:](b1[:,:], u8, u8, u8)", parallel=True, cache=True)
+@njit("u1[:,:](u1[:,:], u8, u8, u8)", parallel=PARALLEL, cache=True)
 def CY(symplectic_matrix, control_q, target_q, nqubits):
     """Decomposition --> S-CNOT-SDG"""
-    r = symplectic_matrix[:-1, -1]
-    x = symplectic_matrix[:-1, :nqubits]
-    z = symplectic_matrix[:-1, nqubits:-1]
+    r, x, z = _get_rxz(symplectic_matrix, nqubits)
+
     for i in prange(symplectic_matrix.shape[0]):  # pylint: disable=not-an-iterable
         symplectic_matrix[i, -1] = (
             r[i]
@@ -261,33 +255,26 @@ def CY(symplectic_matrix, control_q, target_q, nqubits):
 
 @njit(
     [
-        "b1[:,:](b1[:,:], u8[:], u8[:], u8, b1)",
-        "b1[:,:](b1[:,:], u4[:], u4[:], u4, b1)",
+        "u1[:,:](u1[:,:], u8[:], u8[:], u8, b1)",
+        "u1[:,:](u1[:,:], u4[:], u4[:], u4, b1)",
     ],
-    parallel=True,
+    parallel=PARALLEL,
     cache=True,
     fastmath=True,
 )
 def _rowsum(symplectic_matrix, h, i, nqubits, determined=False):
-    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]
     if determined:
-        g_r = np.array([False for _ in range(h.shape[0])])
+        g_r = np.zeros(h.shape[0], dtype=np.uint8)
         g_xi_xh = xi.copy()
         g_zi_zh = xi.copy()
     for j in prange(len(h)):  # pylint: disable=not-an-iterable
-        exp = np.zeros(nqubits, dtype=uint64)
-        x1_eq_z1 = (xi[j] ^ zi[j]) == False
-        x1_neq_z1 = ~x1_eq_z1
-        x1_eq_0 = xi[j] == False
-        x1_eq_1 = ~x1_eq_0
-        ind2 = x1_eq_z1 & x1_eq_1
-        ind3 = x1_eq_1 & x1_neq_z1
-        ind4 = x1_eq_0 & x1_neq_z1
-        exp[ind2] = zh[j, ind2].astype(uint64) - xh[j, ind2].astype(uint64)
-        exp[ind3] = zh[j, ind3].astype(uint64) * (2 * xh[j, ind3].astype(uint64) - 1)
-        exp[ind4] = xh[j, ind4].astype(uint64) * (1 - 2 * zh[j, ind4].astype(uint64))
-
+        exp = (
+            2 * (xi[j] * xh[j] * (zh[j] - zi[j]) + zi[j] * zh[j] * (xi[j] - xh[j]))
+            - xi[j] * zh[j]
+            + xh[j] * zi[j]
+        )
         r = (
             2 * symplectic_matrix[h[j], -1]
             + 2 * symplectic_matrix[i[j], -1]
diff --git a/src/qibojit/backends/clifford_operations_gpu.py b/src/qibojit/backends/clifford_operations_gpu.py
index 1039c2bc..9698176b 100644
--- a/src/qibojit/backends/clifford_operations_gpu.py
+++ b/src/qibojit/backends/clifford_operations_gpu.py
@@ -1,8 +1,8 @@
 """Set of custom CuPy operations for the Clifford backend."""
 
-from functools import cache
-
 import cupy as cp  # pylint: disable=E0401
+import numpy
+from qibo.backends._clifford_operations import _dim, _get_rxz, _packed_size, _pad_size
 from scipy import sparse
 
 np = cp
@@ -11,53 +11,51 @@
 GRIDDIM_2D = (1024, 1024)
 
 
-@cache
-def _get_dim(nqubits):
-    return 2 * nqubits + 1
-
-
 apply_one_qubit_kernel = """
 extern "C"
-__global__ void apply_{}(bool* symplectic_matrix, const int q, const int nqubits, const int qz, const int dim) {{
-    _apply_{}(symplectic_matrix, q, nqubits, qz, dim);
+__global__ void apply_{}(unsigned char* symplectic_matrix, const int q, const int qz, const int nrows, const int ncolumns) {{
+    _apply_{}(symplectic_matrix, q, qz, nrows, ncolumns);
 }}
 """
 
 apply_two_qubits_kernel = """
 extern "C"
-__global__ void apply_{}(bool* symplectic_matrix, const int control_q, const int target_q, const int nqubits, const int cqz, const int tqz, const int dim) {{
-    _apply_{}(symplectic_matrix, control_q, target_q, nqubits, cqz, tqz, dim);
+__global__ void apply_{}(unsigned char* symplectic_matrix, const int control_q, const int target_q, const int cqz, const int tqz, const int nrows, const int ncolumns) {{
+    _apply_{}(symplectic_matrix, control_q, target_q, cqz, tqz, nrows, ncolumns);
 }}
 """
 
 
 def one_qubit_kernel_launcher(kernel, symplectic_matrix, q, nqubits):
     qz = nqubits + q
-    dim = _get_dim(nqubits)
-    return kernel((GRIDDIM,), (BLOCKDIM,), (symplectic_matrix, q, nqubits, qz, dim))
+    ncolumns = _dim(nqubits)
+    nrows = _packed_size(ncolumns)
+    return kernel((GRIDDIM,), (BLOCKDIM,), (symplectic_matrix, q, qz, nrows, ncolumns))
 
 
 def two_qubits_kernel_launcher(kernel, symplectic_matrix, control_q, target_q, nqubits):
     cqz = nqubits + control_q
     tqz = nqubits + target_q
-    dim = _get_dim(nqubits)
+    ncolumns = _dim(nqubits)
+    nrows = _packed_size(ncolumns)
     return kernel(
         (GRIDDIM,),
         (BLOCKDIM,),
-        (symplectic_matrix, control_q, target_q, nqubits, cqz, tqz, dim),
+        (symplectic_matrix, control_q, target_q, cqz, tqz, nrows, ncolumns),
     )
 
 
 apply_H = """
-__device__ void _apply_H(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_H(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (symplectic_matrix[i * dim + q] & symplectic_matrix[i * dim + qz]);
-        const bool tmp = symplectic_matrix[i * dim + q];
-        symplectic_matrix[i * dim + q] = symplectic_matrix[i * dim + qz];
-        symplectic_matrix[i * dim + qz] = tmp;
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (symplectic_matrix[row_idx + q] & symplectic_matrix[row_idx + qz]);
+        const unsigned char tmp = symplectic_matrix[row_idx + q];
+        symplectic_matrix[row_idx + q] = symplectic_matrix[row_idx + qz];
+        symplectic_matrix[row_idx + qz] = tmp;
     };
 }
 """ + apply_one_qubit_kernel.format(
@@ -73,19 +71,20 @@ def H(symplectic_matrix, q, nqubits):
 
 
 apply_CNOT = """
-__device__ void _apply_CNOT(bool* symplectic_matrix, const int& control_q, const int& target_q, const int& nqubits, const int& cqz, const int& tqz, const int& dim) {
+__device__ void _apply_CNOT(unsigned char* symplectic_matrix, const int& control_q, const int& target_q, const int& cqz, const int& tqz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            symplectic_matrix[i * dim + control_q] & symplectic_matrix[i * dim + tqz]
-        ) & (symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + cqz] ^ 1);
-        symplectic_matrix[i * dim + target_q] = (
-            symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + control_q]
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            symplectic_matrix[row_idx + control_q] & symplectic_matrix[row_idx + tqz]
+        ) & (symplectic_matrix[row_idx + target_q] ^ ~symplectic_matrix[row_idx + cqz]);
+        symplectic_matrix[row_idx + target_q] = (
+            symplectic_matrix[row_idx + target_q] ^ symplectic_matrix[row_idx + control_q]
         );
-        symplectic_matrix[i * dim + cqz] = (
-            symplectic_matrix[i * dim + cqz] ^ symplectic_matrix[i * dim + tqz]
+        symplectic_matrix[row_idx + cqz] = (
+            symplectic_matrix[row_idx + cqz] ^ symplectic_matrix[row_idx + tqz]
         );
     };
 }
@@ -104,28 +103,29 @@ def CNOT(symplectic_matrix, control_q, target_q, nqubits):
 
 
 apply_CZ = """
-__device__ void _apply_CZ(bool* symplectic_matrix, const int& control_q, const int& target_q, const int& nqubits, const int& cqz, const int& tqz, const int& dim) {
+__device__ void _apply_CZ(unsigned char* symplectic_matrix, const int& control_q, const int& target_q, const int& cqz, const int& tqz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = (
-            symplectic_matrix[i * dim + last]
-            ^ (symplectic_matrix[i * dim + target_q] & symplectic_matrix[i * dim + tqz])
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = (
+            symplectic_matrix[row_idx + last]
+            ^ (symplectic_matrix[row_idx + target_q] & symplectic_matrix[row_idx + tqz])
             ^ (
-                symplectic_matrix[i * dim + control_q]
-                & symplectic_matrix[i * dim + target_q]
-                & (symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + cqz] ^ 1)
+                symplectic_matrix[row_idx + control_q]
+                & symplectic_matrix[row_idx + target_q]
+                & (symplectic_matrix[row_idx + tqz] ^ ~symplectic_matrix[row_idx + cqz])
             )
             ^ (
-                symplectic_matrix[i * dim + target_q]
-                & (symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + control_q])
+                symplectic_matrix[row_idx + target_q]
+                & (symplectic_matrix[row_idx + tqz] ^ symplectic_matrix[row_idx + control_q])
             )
         );
-        const bool z_control_q = symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + cqz];
-        const bool z_target_q = symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + control_q];
-        symplectic_matrix[i * dim + cqz] = z_control_q;
-        symplectic_matrix[i * dim + tqz] = z_target_q;
+        const unsigned char z_control_q = symplectic_matrix[row_idx + target_q] ^ symplectic_matrix[row_idx + cqz];
+        const unsigned char z_target_q = symplectic_matrix[row_idx + tqz] ^ symplectic_matrix[row_idx + control_q];
+        symplectic_matrix[row_idx + cqz] = z_control_q;
+        symplectic_matrix[row_idx + tqz] = z_target_q;
     };
 }
 """ + apply_two_qubits_kernel.format(
@@ -143,15 +143,16 @@ def CZ(symplectic_matrix, control_q, target_q, nqubits):
 
 
 apply_S = """
-__device__ void _apply_S(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_S(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            symplectic_matrix[i * dim + q] & symplectic_matrix[i * dim + qz]
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            symplectic_matrix[row_idx + q] & symplectic_matrix[row_idx + qz]
         );
-        symplectic_matrix[i * dim + qz] = symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q];
+        symplectic_matrix[row_idx + qz] = symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q];
     };
 }
 """ + apply_one_qubit_kernel.format(
@@ -167,15 +168,16 @@ def S(symplectic_matrix, q, nqubits):
 
 
 apply_Z = """
-__device__ void _apply_Z(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_Z(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            (symplectic_matrix[i * dim + q] & symplectic_matrix[i * dim + qz])
-            ^ symplectic_matrix[i * dim + q]
-            & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            (symplectic_matrix[row_idx + q] & symplectic_matrix[row_idx + qz])
+            ^ symplectic_matrix[row_idx + q]
+            & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
         );
     };
 }
@@ -192,18 +194,19 @@ def Z(symplectic_matrix, q, nqubits):
 
 
 apply_X = """
-__device__ void _apply_X(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_X(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = (
-            symplectic_matrix[i * dim + last]
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = (
+            symplectic_matrix[row_idx + last]
             ^ (
-                symplectic_matrix[i * dim + qz]
-                & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+                symplectic_matrix[row_idx + qz]
+                & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
             )
-            ^ (symplectic_matrix[i * dim + qz] & symplectic_matrix[i * dim + q])
+            ^ (symplectic_matrix[row_idx + qz] & symplectic_matrix[row_idx + q])
         );
     };
 }
@@ -220,20 +223,21 @@ def X(symplectic_matrix, q, nqubits):
 
 
 apply_Y = """
-__device__ void _apply_Y(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_Y(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = (
-            symplectic_matrix[i * dim + last]
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = (
+            symplectic_matrix[row_idx + last]
             ^ (
-                symplectic_matrix[i * dim + qz]
-                & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+                symplectic_matrix[row_idx + qz]
+                & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
             )
             ^ (
-                symplectic_matrix[i * dim + q]
-                & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+                symplectic_matrix[row_idx + q]
+                & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
             )
         );
     };
@@ -251,16 +255,17 @@ def Y(symplectic_matrix, q, nqubits):
 
 
 apply_SX = """
-__device__ void _apply_SX(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_SX(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            symplectic_matrix[i * dim + qz]
-            & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            symplectic_matrix[row_idx + qz]
+            & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
         );
-        symplectic_matrix[i * dim + q] = symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q];
+        symplectic_matrix[row_idx + q] = symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q];
     };
 }
 """ + apply_one_qubit_kernel.format(
@@ -276,16 +281,17 @@ def SX(symplectic_matrix, q, nqubits):
 
 
 apply_SDG = """
-__device__ void _apply_SDG(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_SDG(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            symplectic_matrix[i * dim + q]
-            & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            symplectic_matrix[row_idx + q]
+            & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
         );
-        symplectic_matrix[i * dim + qz] = symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q];
+        symplectic_matrix[row_idx + qz] = symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q];
     };
 }
 """ + apply_one_qubit_kernel.format(
@@ -301,15 +307,16 @@ def SDG(symplectic_matrix, q, nqubits):
 
 
 apply_SXDG = """
-__device__ void _apply_SXDG(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_SXDG(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            symplectic_matrix[i * dim + qz] & symplectic_matrix[i * dim + q]
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            symplectic_matrix[row_idx + qz] & symplectic_matrix[row_idx + q]
         );
-        symplectic_matrix[i * dim + q] = symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q];
+        symplectic_matrix[row_idx + q] = symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q];
     };
 }
 """ + apply_one_qubit_kernel.format(
@@ -325,18 +332,19 @@ def SXDG(symplectic_matrix, q, nqubits):
 
 
 apply_RY_pi = """
-__device__ void _apply_RY_pi(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_RY_pi(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            symplectic_matrix[i * dim + q]
-            & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            symplectic_matrix[row_idx + q]
+            & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
         );
-        const bool zq = symplectic_matrix[i * dim + qz];
-        symplectic_matrix[i * dim + qz] = symplectic_matrix[i * dim + q];
-        symplectic_matrix[i * dim + q] = zq;
+        const unsigned char zq = symplectic_matrix[row_idx + qz];
+        symplectic_matrix[row_idx + qz] = symplectic_matrix[row_idx + q];
+        symplectic_matrix[row_idx + q] = zq;
     };
 }
 """ + apply_one_qubit_kernel.format(
@@ -352,18 +360,19 @@ def RY_pi(symplectic_matrix, q, nqubits):
 
 
 apply_RY_3pi_2 = """
-__device__ void _apply_RY_3pi_2(bool* symplectic_matrix, const int& q, const int& nqubits, const int& qz, const int& dim) {
+__device__ void _apply_RY_3pi_2(unsigned char* symplectic_matrix, const int& q, const int& qz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = symplectic_matrix[i * dim + last] ^ (
-            symplectic_matrix[i * dim + qz]
-            & (symplectic_matrix[i * dim + qz] ^ symplectic_matrix[i * dim + q])
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = symplectic_matrix[row_idx + last] ^ (
+            symplectic_matrix[row_idx + qz]
+            & (symplectic_matrix[row_idx + qz] ^ symplectic_matrix[row_idx + q])
         );
-        const bool zq = symplectic_matrix[i * dim + qz];
-        symplectic_matrix[i * dim + qz] = symplectic_matrix[i * dim + q];
-        symplectic_matrix[i * dim + q] = zq;
+        const unsigned char zq = symplectic_matrix[row_idx + qz];
+        symplectic_matrix[row_idx + qz] = symplectic_matrix[row_idx + q];
+        symplectic_matrix[row_idx + q] = zq;
     };
 }
 """ + apply_one_qubit_kernel.format(
@@ -381,42 +390,43 @@ def RY_3pi_2(symplectic_matrix, q, nqubits):
 
 
 apply_SWAP = """
-__device__ void _apply_SWAP(bool* symplectic_matrix, const int& control_q, const int& target_q, const int& nqubits, const int& cqz, const int& tqz, const int& dim) {
+__device__ void _apply_SWAP(unsigned char* symplectic_matrix, const int& control_q, const int& target_q, const int& cqz, const int& tqz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = (
-            symplectic_matrix[i * dim + last]
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = (
+            symplectic_matrix[row_idx + last]
             ^ (
-                symplectic_matrix[i * dim + control_q]
-                & symplectic_matrix[i * dim + tqz]
-                & (symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + cqz] ^ 1)
+                symplectic_matrix[row_idx + control_q]
+                & symplectic_matrix[row_idx + tqz]
+                & (symplectic_matrix[row_idx + target_q] ^ ~symplectic_matrix[row_idx + cqz])
             )
             ^ (
-                (symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + control_q])
-                & (symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + cqz])
-                & (symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + control_q] ^ 1)
+                (symplectic_matrix[row_idx + target_q] ^ symplectic_matrix[row_idx + control_q])
+                & (symplectic_matrix[row_idx + tqz] ^ symplectic_matrix[row_idx + cqz])
+                & (symplectic_matrix[row_idx + tqz] ^ ~symplectic_matrix[row_idx + control_q])
             )
             ^ (
-                symplectic_matrix[i * dim + target_q]
-                & symplectic_matrix[i * dim + cqz]
+                symplectic_matrix[row_idx + target_q]
+                & symplectic_matrix[row_idx + cqz]
                 & (
-                    symplectic_matrix[i * dim + control_q]
-                    ^ symplectic_matrix[i * dim + target_q]
-                    ^ symplectic_matrix[i * dim + cqz]
-                    ^ symplectic_matrix[i * dim + tqz] ^ 1
+                    symplectic_matrix[row_idx + control_q]
+                    ^ symplectic_matrix[row_idx + target_q]
+                    ^ symplectic_matrix[row_idx + cqz]
+                    ^ ~symplectic_matrix[row_idx + tqz]
                 )
             )
         );
-        const bool x_cq = symplectic_matrix[i * dim + control_q];
-        const bool x_tq = symplectic_matrix[i * dim + target_q];
-        const bool z_cq = symplectic_matrix[i * dim + cqz];
-        const bool z_tq = symplectic_matrix[i * dim + tqz];
-        symplectic_matrix[i * dim + control_q] = x_tq;
-        symplectic_matrix[i * dim + target_q] = x_cq;
-        symplectic_matrix[i * dim + cqz] = z_tq;
-        symplectic_matrix[i * dim + tqz] = z_cq;
+        const unsigned char x_cq = symplectic_matrix[row_idx + control_q];
+        const unsigned char x_tq = symplectic_matrix[row_idx + target_q];
+        const unsigned char z_cq = symplectic_matrix[row_idx + cqz];
+        const unsigned char z_tq = symplectic_matrix[row_idx + tqz];
+        symplectic_matrix[row_idx + control_q] = x_tq;
+        symplectic_matrix[row_idx + target_q] = x_cq;
+        symplectic_matrix[row_idx + cqz] = z_tq;
+        symplectic_matrix[row_idx + tqz] = z_cq;
     };
 }
 """ + apply_two_qubits_kernel.format(
@@ -434,66 +444,67 @@ def SWAP(symplectic_matrix, control_q, target_q, nqubits):
 
 
 apply_iSWAP = """
-__device__ void _apply_iSWAP(bool* symplectic_matrix, const int& control_q, const int& target_q, const int& nqubits, const int& cqz, const int& tqz, const int& dim) {
+__device__ void _apply_iSWAP(unsigned char* symplectic_matrix, const int& control_q, const int& target_q, const int& cqz, const int& tqz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = (
-            symplectic_matrix[i * dim + last]
-            ^ (symplectic_matrix[i * dim + target_q] & symplectic_matrix[i * dim + tqz])
-            ^ (symplectic_matrix[i * dim + control_q] & symplectic_matrix[i * dim + cqz])
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = (
+            symplectic_matrix[row_idx + last]
+            ^ (symplectic_matrix[row_idx + target_q] & symplectic_matrix[row_idx + tqz])
+            ^ (symplectic_matrix[row_idx + control_q] & symplectic_matrix[row_idx + cqz])
             ^ (
-                symplectic_matrix[i * dim + control_q]
-                & (symplectic_matrix[i * dim + cqz] ^ symplectic_matrix[i * dim + control_q])
+                symplectic_matrix[row_idx + control_q]
+                & (symplectic_matrix[row_idx + cqz] ^ symplectic_matrix[row_idx + control_q])
             )
             ^ (
-                (symplectic_matrix[i * dim + cqz] ^ symplectic_matrix[i * dim + control_q])
-                & (symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + target_q])
-                & (symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + control_q] ^ 1)
+                (symplectic_matrix[row_idx + cqz] ^ symplectic_matrix[row_idx + control_q])
+                & (symplectic_matrix[row_idx + tqz] ^ symplectic_matrix[row_idx + target_q])
+                & (symplectic_matrix[row_idx + target_q] ^ ~symplectic_matrix[row_idx + control_q])
             )
             ^ (
                 (
-                    symplectic_matrix[i * dim + target_q]
-                    ^ symplectic_matrix[i * dim + cqz]
-                    ^ symplectic_matrix[i * dim + control_q]
+                    symplectic_matrix[row_idx + target_q]
+                    ^ symplectic_matrix[row_idx + cqz]
+                    ^ symplectic_matrix[row_idx + control_q]
                 )
                 & (
-                    symplectic_matrix[i * dim + target_q]
-                    ^ symplectic_matrix[i * dim + tqz]
-                    ^ symplectic_matrix[i * dim + control_q]
+                    symplectic_matrix[row_idx + target_q]
+                    ^ symplectic_matrix[row_idx + tqz]
+                    ^ symplectic_matrix[row_idx + control_q]
                 )
                 & (
-                    symplectic_matrix[i * dim + target_q]
-                    ^ symplectic_matrix[i * dim + tqz]
-                    ^ symplectic_matrix[i * dim + control_q]
-                    ^ symplectic_matrix[i * dim + cqz] ^ 1
+                    symplectic_matrix[row_idx + target_q]
+                    ^ symplectic_matrix[row_idx + tqz]
+                    ^ symplectic_matrix[row_idx + control_q]
+                    ^ ~symplectic_matrix[row_idx + cqz]
                 )
             )
             ^ (
-                symplectic_matrix[i * dim + control_q]
+                symplectic_matrix[row_idx + control_q]
                 & (
-                    symplectic_matrix[i * dim + target_q]
-                    ^ symplectic_matrix[i * dim + control_q]
-                    ^ symplectic_matrix[i * dim + cqz]
+                    symplectic_matrix[row_idx + target_q]
+                    ^ symplectic_matrix[row_idx + control_q]
+                    ^ symplectic_matrix[row_idx + cqz]
                 )
             )
         );
-        const bool z_control_q = (
-            symplectic_matrix[i * dim + target_q]
-            ^ symplectic_matrix[i * dim + tqz]
-            ^ symplectic_matrix[i * dim + control_q]
+        const unsigned char z_control_q = (
+            symplectic_matrix[row_idx + target_q]
+            ^ symplectic_matrix[row_idx + tqz]
+            ^ symplectic_matrix[row_idx + control_q]
         );
-        const bool z_target_q = (
-            symplectic_matrix[i * dim + target_q]
-            ^ symplectic_matrix[i * dim + cqz]
-            ^ symplectic_matrix[i * dim + control_q]
+        const unsigned char z_target_q = (
+            symplectic_matrix[row_idx + target_q]
+            ^ symplectic_matrix[row_idx + cqz]
+            ^ symplectic_matrix[row_idx + control_q]
         );
-        symplectic_matrix[i * dim + cqz] = z_control_q;
-        symplectic_matrix[i * dim + tqz] = z_target_q;
-        const bool tmp = symplectic_matrix[i * dim + control_q];
-        symplectic_matrix[i * dim + control_q] = symplectic_matrix[i * dim + target_q];
-        symplectic_matrix[i * dim + target_q] = tmp;
+        symplectic_matrix[row_idx + cqz] = z_control_q;
+        symplectic_matrix[row_idx + tqz] = z_target_q;
+        const unsigned char tmp = symplectic_matrix[row_idx + control_q];
+        symplectic_matrix[row_idx + control_q] = symplectic_matrix[row_idx + target_q];
+        symplectic_matrix[row_idx + target_q] = tmp;
     };
 }
 """ + apply_two_qubits_kernel.format(
@@ -511,37 +522,38 @@ def iSWAP(symplectic_matrix, control_q, target_q, nqubits):
 
 
 apply_CY = """
-__device__ void _apply_CY(bool* symplectic_matrix, const int& control_q, const int& target_q, const int& nqubits, const int& cqz, const int& tqz, const int& dim) {
+__device__ void _apply_CY(unsigned char* symplectic_matrix, const int& control_q, const int& target_q, const int& cqz, const int& tqz, const int& nrows, const int& ncolumns) {
     const int tid = blockIdx.x * blockDim.x + threadIdx.x;
     const int ntid = gridDim.x * blockDim.x;
-    const int last = dim - 1;
-    for(int i = tid; i < last; i += ntid) {
-        symplectic_matrix[i * dim + last] = (
-            symplectic_matrix[i * dim + last]
+    const int last = ncolumns - 1;
+    for(int i = tid; i < nrows; i += ntid) {
+        unsigned int row_idx = i * ncolumns;
+        symplectic_matrix[row_idx + last] = (
+            symplectic_matrix[row_idx + last]
             ^ (
-                symplectic_matrix[i * dim + target_q]
-                & (symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + target_q])
+                symplectic_matrix[row_idx + target_q]
+                & (symplectic_matrix[row_idx + tqz] ^ symplectic_matrix[row_idx + target_q])
             )
             ^ (
-                symplectic_matrix[i * dim + control_q]
-                & (symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + tqz])
-                & (symplectic_matrix[i * dim + cqz] ^ symplectic_matrix[i * dim + target_q] ^ 1)
+                symplectic_matrix[row_idx + control_q]
+                & (symplectic_matrix[row_idx + target_q] ^ symplectic_matrix[row_idx + tqz])
+                & (symplectic_matrix[row_idx + cqz] ^ ~symplectic_matrix[row_idx + target_q])
             )
             ^ (
-                (symplectic_matrix[i * dim + target_q] ^ symplectic_matrix[i * dim + control_q])
-                & (symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + target_q])
+                (symplectic_matrix[row_idx + target_q] ^ symplectic_matrix[row_idx + control_q])
+                & (symplectic_matrix[row_idx + tqz] ^ symplectic_matrix[row_idx + target_q])
             )
         );
-        const bool x_target_q = symplectic_matrix[i * dim + control_q] ^ symplectic_matrix[i * dim + target_q];
-        const bool z_control_q = (
-            symplectic_matrix[i * dim + cqz]
-            ^ symplectic_matrix[i * dim + tqz]
-            ^ symplectic_matrix[i * dim + target_q]
+        const unsigned char x_target_q = symplectic_matrix[row_idx + control_q] ^ symplectic_matrix[row_idx + target_q];
+        const unsigned char z_control_q = (
+            symplectic_matrix[row_idx + cqz]
+            ^ symplectic_matrix[row_idx + tqz]
+            ^ symplectic_matrix[row_idx + target_q]
         );
-        const bool z_target_q = symplectic_matrix[i * dim + tqz] ^ symplectic_matrix[i * dim + control_q];
-        symplectic_matrix[i * dim + target_q] = x_target_q;
-        symplectic_matrix[i * dim + cqz] = z_control_q;
-        symplectic_matrix[i * dim + tqz] = z_target_q;
+        const unsigned char z_target_q = symplectic_matrix[row_idx + tqz] ^ symplectic_matrix[row_idx + control_q];
+        symplectic_matrix[row_idx + target_q] = x_target_q;
+        symplectic_matrix[row_idx + cqz] = z_control_q;
+        symplectic_matrix[row_idx + tqz] = z_target_q;
     };
 }
 """ + apply_two_qubits_kernel.format(
@@ -559,55 +571,40 @@ def CY(symplectic_matrix, control_q, target_q, nqubits):
 
 
 _apply_rowsum = """
-__device__ void _apply_rowsum(bool* symplectic_matrix, const long* h, const long* i, const int& nqubits, const bool& determined, const int& nrows, long* g_exp, const int& dim) {
+__device__ void _apply_rowsum(unsigned char* symplectic_matrix, const long* h, const long* i, const int& nqubits, const bool& determined, const int& nrows, long* g_exp, const int& dim) {
     unsigned int tid_x = blockIdx.x * blockDim.x + threadIdx.x;
     unsigned int bid_y = blockIdx.y;
     unsigned int ntid_x = gridDim.x * blockDim.x;
     unsigned int nbid_y = gridDim.y;
     const int last = dim - 1;
     __shared__ int exp;
-    if (threadIdx.x == 0) {
-        exp = 0;
-    }
     for(int j = bid_y; j < nrows; j += nbid_y) {
+        unsigned int row_i = i[j] * dim;
+        unsigned int row_h = h[j] * dim;
         for(int k = tid_x; k < nqubits; k += ntid_x) {
             unsigned int kz = nqubits + k;
-            bool x1_eq_z1 = symplectic_matrix[i[j] * dim + k] == symplectic_matrix[i[j] * dim + kz];
-            bool x1_eq_0 = symplectic_matrix[i[j] * dim + k] == false;
-            if (x1_eq_z1) {
-                if (not x1_eq_0) {
-                    exp += ((int) symplectic_matrix[h[j] * dim + kz]) -
-                        (int) symplectic_matrix[h[j] * dim + k];
-                }
-            } else {
-                if (x1_eq_0) {
-                    exp += ((int) symplectic_matrix[h[j] * dim + k]) * (
-                        1 - 2 * (int) symplectic_matrix[h[j] * dim + kz]
-                    );
-                } else {
-                    exp += ((int) symplectic_matrix[h[j] * dim + kz]) * (
-                        2 * (int) symplectic_matrix[h[j] * dim + k] - 1
-                    );
-                }
-            }
+            exp = (
+                2 * (symplectic_matrix[row_i + k] * symplectic_matrix[row_h + k] * (symplectic_matrix[row_h + kz] - symplectic_matrix[row_i + kz]) +
+                symplectic_matrix[row_i + kz] * symplectic_matrix[row_h + kz] * (symplectic_matrix[row_i + k] - symplectic_matrix[row_h + k]))
+                - symplectic_matrix[row_i + k] * symplectic_matrix[row_h + kz]
+                + symplectic_matrix[row_h + k] * symplectic_matrix[row_i + kz]
+            );
         }
         if (threadIdx.x == 0 && tid_x < nqubits) {
             g_exp[j] += exp;
         }
         __syncthreads();
         if (threadIdx.x == 0 && blockIdx.x == 0) {
-            symplectic_matrix[h[j] * dim + last] = (
-                2 * symplectic_matrix[h[j] * dim + last] + 2 * symplectic_matrix[i[j] * dim + last] + g_exp[j]
+            symplectic_matrix[row_h + last] = (
+                2 * symplectic_matrix[row_h + last] + 2 * symplectic_matrix[row_i + last] + g_exp[j]
             ) % 4 != 0;
         }
         for(int k = tid_x; k < nqubits; k += ntid_x) {
             unsigned int kz = nqubits + k;
-            unsigned int row_i = i[j] * dim;
-            unsigned int row_h = h[j] * dim;
-            bool xi_xh = (
+            unsigned char xi_xh = (
                 symplectic_matrix[row_i + k] ^ symplectic_matrix[row_h + k]
             );
-            bool zi_zh = (
+            unsigned char zi_zh = (
                 symplectic_matrix[row_i + kz] ^ symplectic_matrix[row_h + kz]
             );
             if (determined) {
@@ -625,7 +622,7 @@ def CY(symplectic_matrix, control_q, target_q, nqubits):
 apply_rowsum = f"""
 {_apply_rowsum}
 extern "C"
-__global__ void apply_rowsum(bool* symplectic_matrix, const long* h, const long* i, const int nqubits, const bool determined, const int nrows, long* g_exp, const int dim) {{
+__global__ void apply_rowsum(unsigned char* symplectic_matrix, const long* h, const long* i, const int nqubits, const bool determined, const int nrows, long* g_exp, const int dim) {{
     _apply_rowsum(symplectic_matrix, h, i, nqubits, determined, nrows, g_exp, dim);
 }}
 """
@@ -634,60 +631,89 @@ def CY(symplectic_matrix, control_q, target_q, nqubits):
 
 
 def _rowsum(symplectic_matrix, h, i, nqubits, determined=False):
-    dim = _get_dim(nqubits)
     nrows = len(h)
     exp = cp.zeros(len(h), dtype=int)
+    packed_nqubits = _packed_size(nqubits)
+    row_dim = _dim(packed_nqubits)
     apply_rowsum(
         GRIDDIM_2D,
         (BLOCKDIM,),
-        (symplectic_matrix, h, i, nqubits, determined, nrows, exp, dim),
+        (symplectic_matrix, h, i, packed_nqubits, determined, nrows, exp, row_dim),
     )
     return symplectic_matrix
 
 
-def _get_p(state, q, nqubits):
-    dim = _get_dim(nqubits)
-    return state.reshape(dim, dim)[nqubits:-1, q].nonzero()[0]
-
-
 def _random_outcome(state, p, q, nqubits):
-    dim = _get_dim(nqubits)
     p = p[0] + nqubits
-    idx_pq = p * dim + q
-    tmp = state[idx_pq].copy()
-    state[idx_pq] = False
-    h = state.reshape(dim, dim)[:-1, q].nonzero()[0]
-    state[idx_pq] = tmp
+    tmp = state[p, q].copy()
+    state[p, q] = 0
+    h = state[:-1, q].nonzero()[0]
+    state[p, q] = tmp
     if h.shape[0] > 0:
+        dim = state.shape[1]
+        state = _pack_for_measurements(state, nqubits)
+        dim = state.shape[1]
         state = _rowsum(
-            state,
+            state.ravel(),
             h,
             p.astype(cp.uint) * cp.ones(h.shape[0], dtype=np.uint),
-            nqubits,
+            _packed_size(nqubits),
             False,
         )
-    state = state.reshape(dim, dim)
+        state = _unpack_for_measurements(state.reshape(-1, dim), nqubits)
     state[p - nqubits, :] = state[p, :]
     outcome = cp.random.randint(2, size=None, dtype=cp.uint)
-    state[p, :] = False
-    state[p, -1] = outcome.astype(bool)
-    state[p, nqubits + q] = True
-    return state.ravel(), outcome
+    state[p, :] = 0
+    state[p, -1] = outcome.astype(cp.uint8)
+    state[p, nqubits + q] = 1
+    return state, outcome
 
 
 def _determined_outcome(state, q, nqubits):
-    dim = _get_dim(nqubits)
-    state = state.reshape(dim, dim)
-    state[-1, :] = False
-    idx = state[:nqubits, q].nonzero()[0] + nqubits
+    state[-1, :] = 0
+    idx = (state[:nqubits, q].nonzero()[0] + nqubits).astype(np.uint)
+    state = _pack_for_measurements(state, nqubits)
+    dim = state.shape[1]
     state = _rowsum(
         state.ravel(),
         (2 * nqubits * cp.ones(idx.shape, dtype=np.uint)).astype(np.uint),
         idx.astype(np.uint),
-        nqubits,
+        _packed_size(nqubits),
         True,
     )
-    return state, state[dim * dim - 1].astype(cp.uint)
+    state = _unpack_for_measurements(state.reshape(-1, dim), nqubits)
+    return state, state[-1, -1]
+
+
+def _packbits(array, axis):
+    # cupy.packbits doesn't support axis yet
+    return cp.array(numpy.packbits(array.get(), axis=axis), dtype=cp.uint8)
+
+
+def _unpackbits(array, axis):
+    return cp.array(numpy.unpackbits(array.get(), axis=axis), dtype=cp.uint8)
+
+
+def _pack_for_measurements(state, nqubits):
+    r, x, z = _get_rxz(state, nqubits)
+    x = _packbits(x, axis=1)
+    z = _packbits(z, axis=1)
+    return np.hstack((x, z, r[:, None]))
+
+
+def _unpack_for_measurements(state, nqubits):
+    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):
+    dim = _dim(nqubits)
+    if collapse:
+        return _unpackbits(state[None, :], axis=0)[:dim]
+    else:
+        return state.copy()
 
 
 def cast(x, dtype=None, copy=False):
@@ -710,12 +736,12 @@ def cast(x, dtype=None, copy=False):
 
 
 def _clifford_pre_execution_reshape(state):
-    return state.ravel()
+    return _packbits(state, axis=0).ravel()
 
 
 def _clifford_post_execution_reshape(state, nqubits):
-    dim = _get_dim(nqubits)
-    return state.reshape(dim, dim)
+    dim = _dim(nqubits)
+    return _unpackbits(state.reshape(-1, dim), axis=0)[:dim]
 
 
 def identity_density_matrix(nqubits, normalize: bool = True):
diff --git a/src/qibojit/backends/matrices.py b/src/qibojit/backends/matrices.py
index 099c3a76..03c27888 100644
--- a/src/qibojit/backends/matrices.py
+++ b/src/qibojit/backends/matrices.py
@@ -60,6 +60,10 @@ def CU3(self, theta, phi, lam):
     def TOFFOLI(self):
         return self.X
 
+    @cached_property
+    def CCZ(self):
+        return self.Z
+
     def DEUTSCH(self, theta):
         return 1j * self.RX(2 * theta)
 

From 7d46da4c1a8b0b28362b842769ded7183ede25da Mon Sep 17 00:00:00 2001
From: Andrea <andreapasquale97@gmail.com>
Date: Wed, 22 May 2024 17:13:00 +0400
Subject: [PATCH 5/5] fix: Fix pylint

---
 src/qibojit/custom_operators/ops.py | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

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():