diff --git a/doc/source/code-examples/applications-by-algorithm.rst b/doc/source/code-examples/applications-by-algorithm.rst
index 4535cb207a..4dfb64a6a2 100644
--- a/doc/source/code-examples/applications-by-algorithm.rst
+++ b/doc/source/code-examples/applications-by-algorithm.rst
@@ -78,14 +78,11 @@ Diagonalization Algorithms
 
     tutorials/dbi/README.md
 
-    .. tutorials/dbi/dbi_tutorial_basic_intro.ipynb
-
-    tutorials/dbi/dbi_scheduling.ipynb
-    tutorials/dbi/dbi_cost_functions_and_d_gradients_tutorial.ipynb
+    tutorials/dbi/dbi_cost_functions.ipynb
     tutorials/dbi/dbi_gradient_descent_strategies.ipynb
     tutorials/dbi/dbi_group_commutator_tests.ipynb
-
-    .. tutorials/dbi/dbi_gdbi_strategies_compare.ipynb
-
+    tutorials/dbi/dbi_scheduling.ipynb
+    tutorials/dbi/dbi_strategies_compare.ipynb
     tutorials/dbi/dbi_strategy_Ising_model.ipynb
     tutorials/dbi/dbi_strategy_Pauli-Z.ipynb
+    tutorials/dbi/dbi_tutorial_basic_intro.ipynb
diff --git a/doc/source/code-examples/tutorials/dbi/dbi_cost_functions.ipynb b/doc/source/code-examples/tutorials/dbi/dbi_cost_functions.ipynb
new file mode 120000
index 0000000000..1c36a4d760
--- /dev/null
+++ b/doc/source/code-examples/tutorials/dbi/dbi_cost_functions.ipynb
@@ -0,0 +1 @@
+../../../../../examples/dbi/dbi_cost_functions.ipynb
\ No newline at end of file
diff --git a/doc/source/code-examples/tutorials/dbi/dbi_cost_functions_and_d_gradients_tutorial.ipynb b/doc/source/code-examples/tutorials/dbi/dbi_cost_functions_and_d_gradients_tutorial.ipynb
deleted file mode 120000
index d9f0070469..0000000000
--- a/doc/source/code-examples/tutorials/dbi/dbi_cost_functions_and_d_gradients_tutorial.ipynb
+++ /dev/null
@@ -1 +0,0 @@
-../../../../../examples/dbi/dbi_cost_functions_and_d_gradients_tutorial.ipynb
\ No newline at end of file
diff --git a/doc/source/code-examples/tutorials/dbi/dbi_gdbi_strategies_compare.ipynb b/doc/source/code-examples/tutorials/dbi/dbi_strategies_compare.ipynb
similarity index 100%
rename from doc/source/code-examples/tutorials/dbi/dbi_gdbi_strategies_compare.ipynb
rename to doc/source/code-examples/tutorials/dbi/dbi_strategies_compare.ipynb
diff --git a/double_bracket_flow_as_a_diagonalization_quantum_algorithm b/double_bracket_flow_as_a_diagonalization_quantum_algorithm
deleted file mode 160000
index 808dd6325b..0000000000
--- a/double_bracket_flow_as_a_diagonalization_quantum_algorithm
+++ /dev/null
@@ -1 +0,0 @@
-Subproject commit 808dd6325b327a756a4b6ae5a4d560e01d1790cb
diff --git a/examples/dbi/dbi_cost_functions.ipynb b/examples/dbi/dbi_cost_functions.ipynb
index 5b9bf0aeb8..b8992ffb31 100644
--- a/examples/dbi/dbi_cost_functions.ipynb
+++ b/examples/dbi/dbi_cost_functions.ipynb
@@ -12,7 +12,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -39,17 +39,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "[Qibo 0.2.9|INFO|2024-05-29 12:15:54]: Using numpy backend on /CPU:0\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "# Hamiltonian\n",
     "set_backend(\"numpy\")\n",
@@ -64,26 +56,14 @@
     "# define the least-squares cost function\n",
     "cost = DoubleBracketCostFunction.least_squares\n",
     "# initialize class\n",
-    "dbi = DoubleBracketIteration(deepcopy(H_TFIM),mode=DoubleBracketGeneratorType.single_commutator,cost=cost)\n",
-    "\n"
+    "dbi = DoubleBracketIteration(deepcopy(H_TFIM),mode=DoubleBracketGeneratorType.single_commutator,cost=cost)\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "grid_search step: 0.6060645454545454\n",
-      "100%|██████████| 100/100 [00:00<00:00, 846.91trial/s, best loss: -30.633516395890517]\n",
-      "hyperopt_search step: 0.5991179894176409\n",
-      "polynomial_approximation step: 0.5267891182131145\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "# generate data for plotting sigma decrease of the first step\n",
     "d = np.diag(np.linspace(1,2**nqubits,2**nqubits))/2**nqubits\n",
@@ -109,37 +89,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The minimum for cost function in the tested range is: 0.6060645454545454\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "# Plot the results\n",
     "plt.figure()\n",
@@ -173,7 +125,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -195,30 +147,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "<matplotlib.legend.Legend at 0x28aaba8d0>"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "plt.figure()\n",
     "plt.plot(range(iters+1), off_diagonal_norm_diff, label=r'Off-diagonal norm')\n",
@@ -240,17 +171,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "[Qibo 0.2.9|INFO|2024-05-29 12:15:55]: Using numpy backend on /CPU:0\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "# Hamiltonian\n",
     "set_backend(\"numpy\")\n",
@@ -273,20 +196,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "grid_search step: 0.6565690909090909\n",
-      "100%|██████████| 100/100 [00:00<00:00, 1239.19trial/s, best loss: 10.532755662184366]\n",
-      "hyperopt_search step: 0.5995386291300258\n",
-      "polynomial_approximation step: 0.4860935299211704\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "# generate data for plotting sigma decrease of the first step\n",
     "d = np.diag(np.linspace(2**nqubits,1,2**nqubits))/2**nqubits\n",
@@ -312,37 +224,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The minimum for cost function in the tested range is: 0.6565690909090909\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "# Plot the results\n",
     "plt.figure()\n",
@@ -368,7 +252,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -386,40 +270,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "Text(0, 0.5, 'Energy fluctuation')"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "plt.figure()\n",
     "plt.plot(range(iters+1), off_diagonal_norm_diff)\n",
@@ -434,7 +287,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -451,44 +304,14 @@
     "        step_poly = dbi_.choose_step(scheduling=DoubleBracketScheduling.polynomial_approximation, d=d, n=3)\n",
     "        if step_poly is not None:\n",
     "            dbi_(step_poly, d=d)\n",
-    "        energy[i,j] = np.real(dbi_.h.matrix[states[i],states[i]])\n",
-    "    "
+    "        energy[i,j] = np.real(dbi_.h.matrix[states[i],states[i]])\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Eigenvalues: [-9.29150262 -5.21110255 -2.         -2.          1.29150262  4.\n",
-      "  4.          9.21110255]\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "Text(0.5, 0, 'Iterations')"
-      ]
-     },
-     "execution_count": 13,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "eigvals = np.linalg.eigh(dbi_.h.matrix)[0]\n",
     "print('Eigenvalues:', eigvals )\n",
diff --git a/examples/dbi/dbi_strategies_compare.ipynb b/examples/dbi/dbi_strategies_compare.ipynb
index e715afeaa6..0b1ac6dadd 100644
--- a/examples/dbi/dbi_strategies_compare.ipynb
+++ b/examples/dbi/dbi_strategies_compare.ipynb
@@ -9,11 +9,6 @@
     "This notebook is a comparison of the so-far developed diagonalization strategies for DBI, including the canonical, Pauli-Z, and magnetic field strategies. On top of these, we also show case the use of invariant DBI generators such as 'BHMM'."
    ]
   },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": []
-  },
   {
    "cell_type": "code",
    "execution_count": null,
@@ -449,6 +444,13 @@
     "plt.ylabel(r'$|| \\sigma(e^{sW}He^{-sW}) || $')"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
   {
    "cell_type": "code",
    "execution_count": null,
diff --git a/examples/dbi/dbi_tutorial_basic_intro.ipynb b/examples/dbi/dbi_tutorial_basic_intro.ipynb
index 36bf8816bd..0031bb28a6 100644
--- a/examples/dbi/dbi_tutorial_basic_intro.ipynb
+++ b/examples/dbi/dbi_tutorial_basic_intro.ipynb
@@ -21,8 +21,8 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "!python -m pip install seaborn # plotting library\n",
-    "!python -m pip install hyperopt # required to optimize the DBF step"
+    "# uncomment this line if seaborn is not installed\n",
+    "# !python -m pip install seaborn # plotting library"
    ]
   },
   {
@@ -553,7 +553,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.7"
+   "version": "3.11.4"
   }
  },
  "nbformat": 4,
diff --git a/poetry.lock b/poetry.lock
index 6f043417f8..cd434b2ac1 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,4 @@
-# This file is automatically @generated by Poetry 1.8.3 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.8.2 and should not be changed by hand.
 
 [[package]]
 name = "absl-py"
@@ -35,13 +35,13 @@ files = [
 
 [[package]]
 name = "anyio"
-version = "4.3.0"
+version = "4.4.0"
 description = "High level compatibility layer for multiple asynchronous event loop implementations"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "anyio-4.3.0-py3-none-any.whl", hash = "sha256:048e05d0f6caeed70d731f3db756d35dcc1f35747c8c403364a8332c630441b8"},
-    {file = "anyio-4.3.0.tar.gz", hash = "sha256:f75253795a87df48568485fd18cdd2a3fa5c4f7c5be8e5e36637733fce06fed6"},
+    {file = "anyio-4.4.0-py3-none-any.whl", hash = "sha256:c1b2d8f46a8a812513012e1107cb0e68c17159a7a594208005a57dc776e1bdc7"},
+    {file = "anyio-4.4.0.tar.gz", hash = "sha256:5aadc6a1bbb7cdb0bede386cac5e2940f5e2ff3aa20277e991cf028e0585ce94"},
 ]
 
 [package.dependencies]
@@ -678,63 +678,63 @@ test = ["altair", "baytune", "chocolate", "dask", "distributed", "kahypar", "mat
 
 [[package]]
 name = "coverage"
-version = "7.5.1"
+version = "7.5.3"
 description = "Code coverage measurement for Python"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "coverage-7.5.1-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:c0884920835a033b78d1c73b6d3bbcda8161a900f38a488829a83982925f6c2e"},
-    {file = "coverage-7.5.1-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:39afcd3d4339329c5f58de48a52f6e4e50f6578dd6099961cf22228feb25f38f"},
-    {file = "coverage-7.5.1-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:4a7b0ceee8147444347da6a66be737c9d78f3353b0681715b668b72e79203e4a"},
-    {file = "coverage-7.5.1-cp310-cp310-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:4a9ca3f2fae0088c3c71d743d85404cec8df9be818a005ea065495bedc33da35"},
-    {file = "coverage-7.5.1-cp310-cp310-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:5fd215c0c7d7aab005221608a3c2b46f58c0285a819565887ee0b718c052aa4e"},
-    {file = "coverage-7.5.1-cp310-cp310-musllinux_1_1_aarch64.whl", hash = "sha256:4bf0655ab60d754491004a5efd7f9cccefcc1081a74c9ef2da4735d6ee4a6223"},
-    {file = "coverage-7.5.1-cp310-cp310-musllinux_1_1_i686.whl", hash = "sha256:61c4bf1ba021817de12b813338c9be9f0ad5b1e781b9b340a6d29fc13e7c1b5e"},
-    {file = "coverage-7.5.1-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:db66fc317a046556a96b453a58eced5024af4582a8dbdc0c23ca4dbc0d5b3146"},
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 [package.dependencies]
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 optional = false
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 ]
 
 [package.extras]
@@ -1845,21 +1845,21 @@ test-extra = ["curio", "matplotlib (!=3.2.0)", "nbformat", "numpy (>=1.22)", "pa
 
 [[package]]
 name = "ipywidgets"
-version = "8.1.2"
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 description = "Jupyter interactive widgets"
 optional = false
 python-versions = ">=3.7"
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 ]
 
 [package.dependencies]
 comm = ">=0.1.3"
 ipython = ">=6.1.0"
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+jupyterlab-widgets = ">=3.0.11,<3.1.0"
 traitlets = ">=4.3.1"
-widgetsnbextension = ">=4.0.10,<4.1.0"
+widgetsnbextension = ">=4.0.11,<4.1.0"
 
 [package.extras]
 test = ["ipykernel", "jsonschema", "pytest (>=3.6.0)", "pytest-cov", "pytz"]
@@ -2011,13 +2011,13 @@ files = [
 
 [[package]]
 name = "jupyterlab-widgets"
-version = "3.0.10"
+version = "3.0.11"
 description = "Jupyter interactive widgets for JupyterLab"
 optional = false
 python-versions = ">=3.7"
 files = [
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-    {file = "jupyterlab_widgets-3.0.10.tar.gz", hash = "sha256:04f2ac04976727e4f9d0fa91cdc2f1ab860f965e504c29dbd6a65c882c9d04c0"},
+    {file = "jupyterlab_widgets-3.0.11-py3-none-any.whl", hash = "sha256:78287fd86d20744ace330a61625024cf5521e1c012a352ddc0a3cdc2348becd0"},
+    {file = "jupyterlab_widgets-3.0.11.tar.gz", hash = "sha256:dd5ac679593c969af29c9bed054c24f26842baa51352114736756bc035deee27"},
 ]
 
 [[package]]
@@ -3297,13 +3297,13 @@ files = [
 
 [[package]]
 name = "prompt-toolkit"
-version = "3.0.43"
+version = "3.0.45"
 description = "Library for building powerful interactive command lines in Python"
 optional = false
 python-versions = ">=3.7.0"
 files = [
-    {file = "prompt_toolkit-3.0.43-py3-none-any.whl", hash = "sha256:a11a29cb3bf0a28a387fe5122cdb649816a957cd9261dcedf8c9f1fef33eacf6"},
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+    {file = "prompt_toolkit-3.0.45.tar.gz", hash = "sha256:07c60ee4ab7b7e90824b61afa840c8f5aad2d46b3e2e10acc33d8ecc94a49089"},
 ]
 
 [package.dependencies]
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@@ -3885,8 +3886,15 @@ files = [
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@@ -3903,6 +3911,7 @@ files = [
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+    {file = "PyYAML-6.0.1-cp38-cp38-musllinux_1_1_x86_64.whl", hash = "sha256:49a183be227561de579b4a36efbb21b3eab9651dd81b1858589f796549873dd6"},
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@@ -3910,6 +3919,7 @@ files = [
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+    {file = "PyYAML-6.0.1-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:04ac92ad1925b2cff1db0cfebffb6ffc43457495c9b3c39d3fcae417d7125dc5"},
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@@ -4039,7 +4049,7 @@ toml = ">=0.10.2,<0.11.0"
 
 [[package]]
 name = "qibojit"
-version = "0.1.4"
+version = "0.1.5"
 description = "Simulation tools based on numba and cupy."
 optional = false
 python-versions = "^3.9,<3.13"
@@ -4049,7 +4059,7 @@ develop = false
 [package.dependencies]
 numba = ">=0.59.0"
 psutil = "^5.9.5"
-qibo = ">=0.2.8"
+qibo = "^0.2.8"
 scipy = "^1.10.1"
 
 [package.extras]
@@ -4060,7 +4070,7 @@ cuquantum = ["cuquantum-python-cu12 (>=23.10.0,<24.0.0)"]
 type = "git"
 url = "https://github.com/qiboteam/qibojit.git"
 reference = "HEAD"
-resolved_reference = "a671c5eb16487349eff5f9c27f464f7d955661f0"
+resolved_reference = "683a19467797c8a4d7deaf1a3a1f10a1baca66ca"
 
 [[package]]
 name = "qibotn"
@@ -4072,7 +4082,7 @@ files = []
 develop = false
 
 [package.dependencies]
-qibo = {git = "https://github.com/qiboteam/qibo.git"}
+qibo = "^0.2.8"
 quimb = {version = "^1.6.0", extras = ["tensor"]}
 
 [package.extras]
@@ -4082,7 +4092,7 @@ cuda = ["cupy-cuda11x (>=11.6.0,<12.0.0)", "cuquantum-python-cu11 (>=23.3.0,<24.
 type = "git"
 url = "https://github.com/qiboteam/qibotn.git"
 reference = "HEAD"
-resolved_reference = "6016829e0ebd482c01fabbaff5ca57c8603bb545"
+resolved_reference = "abb0e363cedfcc2c3f522d360e04ac6f2b5a24f1"
 
 [[package]]
 name = "quimb"
@@ -4131,13 +4141,13 @@ sphinx = ">=1.3.1"
 
 [[package]]
 name = "requests"
-version = "2.32.2"
+version = "2.32.3"
 description = "Python HTTP for Humans."
 optional = false
 python-versions = ">=3.8"
 files = [
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+    {file = "requests-2.32.3.tar.gz", hash = "sha256:55365417734eb18255590a9ff9eb97e9e1da868d4ccd6402399eaf68af20a760"},
 ]
 
 [package.dependencies]
@@ -4268,30 +4278,50 @@ files = [
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+    {file = "ruamel.yaml.clib-0.2.8-cp39-cp39-musllinux_1_1_i686.whl", hash = "sha256:184565012b60405d93838167f425713180b949e9d8dd0bbc7b49f074407c5a8b"},
+    {file = "ruamel.yaml.clib-0.2.8-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:a75879bacf2c987c003368cf14bed0ffe99e8e85acfa6c0bfffc21a090f16880"},
     {file = "ruamel.yaml.clib-0.2.8-cp39-cp39-win32.whl", hash = "sha256:84b554931e932c46f94ab306913ad7e11bba988104c5cff26d90d03f68258cd5"},
     {file = "ruamel.yaml.clib-0.2.8-cp39-cp39-win_amd64.whl", hash = "sha256:25ac8c08322002b06fa1d49d1646181f0b2c72f5cbc15a85e80b4c30a544bb15"},
     {file = "ruamel.yaml.clib-0.2.8.tar.gz", hash = "sha256:beb2e0404003de9a4cab9753a8805a8fe9320ee6673136ed7f04255fe60bb512"},
@@ -4384,6 +4414,27 @@ dev = ["cython-lint (>=0.12.2)", "doit (>=0.36.0)", "mypy", "pycodestyle", "pyde
 doc = ["jupyterlite-pyodide-kernel", "jupyterlite-sphinx (>=0.12.0)", "jupytext", "matplotlib (>=3.5)", "myst-nb", "numpydoc", "pooch", "pydata-sphinx-theme (>=0.15.2)", "sphinx (>=5.0.0)", "sphinx-design (>=0.4.0)"]
 test = ["array-api-strict", "asv", "gmpy2", "hypothesis (>=6.30)", "mpmath", "pooch", "pytest", "pytest-cov", "pytest-timeout", "pytest-xdist", "scikit-umfpack", "threadpoolctl"]
 
+[[package]]
+name = "seaborn"
+version = "0.13.2"
+description = "Statistical data visualization"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "seaborn-0.13.2-py3-none-any.whl", hash = "sha256:636f8336facf092165e27924f223d3c62ca560b1f2bb5dff7ab7fad265361987"},
+    {file = "seaborn-0.13.2.tar.gz", hash = "sha256:93e60a40988f4d65e9f4885df477e2fdaff6b73a9ded434c1ab356dd57eefff7"},
+]
+
+[package.dependencies]
+matplotlib = ">=3.4,<3.6.1 || >3.6.1"
+numpy = ">=1.20,<1.24.0 || >1.24.0"
+pandas = ">=1.2"
+
+[package.extras]
+dev = ["flake8", "flit", "mypy", "pandas-stubs", "pre-commit", "pytest", "pytest-cov", "pytest-xdist"]
+docs = ["ipykernel", "nbconvert", "numpydoc", "pydata_sphinx_theme (==0.10.0rc2)", "pyyaml", "sphinx (<6.0.0)", "sphinx-copybutton", "sphinx-design", "sphinx-issues"]
+stats = ["scipy (>=1.7)", "statsmodels (>=0.12)"]
+
 [[package]]
 name = "setuptools"
 version = "69.5.1"
@@ -4715,17 +4766,17 @@ numpy = "*"
 
 [[package]]
 name = "sympy"
-version = "1.12"
+version = "1.12.1"
 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"},
+    {file = "sympy-1.12.1-py3-none-any.whl", hash = "sha256:9b2cbc7f1a640289430e13d2a56f02f867a1da0190f2f99d8968c2f74da0e515"},
+    {file = "sympy-1.12.1.tar.gz", hash = "sha256:2877b03f998cd8c08f07cd0de5b767119cd3ef40d09f41c30d722f6686b0fb88"},
 ]
 
 [package.dependencies]
-mpmath = ">=0.19"
+mpmath = ">=1.1.0,<1.4.0"
 
 [[package]]
 name = "tabulate"
@@ -5147,13 +5198,13 @@ files = [
 
 [[package]]
 name = "typing-extensions"
-version = "4.11.0"
+version = "4.12.0"
 description = "Backported and Experimental Type Hints for Python 3.8+"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "typing_extensions-4.11.0-py3-none-any.whl", hash = "sha256:c1f94d72897edaf4ce775bb7558d5b79d8126906a14ea5ed1635921406c0387a"},
-    {file = "typing_extensions-4.11.0.tar.gz", hash = "sha256:83f085bd5ca59c80295fc2a82ab5dac679cbe02b9f33f7d83af68e241bea51b0"},
+    {file = "typing_extensions-4.12.0-py3-none-any.whl", hash = "sha256:b349c66bea9016ac22978d800cfff206d5f9816951f12a7d0ec5578b0a819594"},
+    {file = "typing_extensions-4.12.0.tar.gz", hash = "sha256:8cbcdc8606ebcb0d95453ad7dc5065e6237b6aa230a31e81d0f440c30fed5fd8"},
 ]
 
 [[package]]
@@ -5239,13 +5290,13 @@ test = ["pytest (>=6.0.0)", "setuptools (>=65)"]
 
 [[package]]
 name = "widgetsnbextension"
-version = "4.0.10"
+version = "4.0.11"
 description = "Jupyter interactive widgets for Jupyter Notebook"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "widgetsnbextension-4.0.10-py3-none-any.whl", hash = "sha256:d37c3724ec32d8c48400a435ecfa7d3e259995201fbefa37163124a9fcb393cc"},
-    {file = "widgetsnbextension-4.0.10.tar.gz", hash = "sha256:64196c5ff3b9a9183a8e699a4227fb0b7002f252c814098e66c4d1cd0644688f"},
+    {file = "widgetsnbextension-4.0.11-py3-none-any.whl", hash = "sha256:55d4d6949d100e0d08b94948a42efc3ed6dfdc0e9468b2c4b128c9a2ce3a7a36"},
+    {file = "widgetsnbextension-4.0.11.tar.gz", hash = "sha256:8b22a8f1910bfd188e596fe7fc05dcbd87e810c8a4ba010bdb3da86637398474"},
 ]
 
 [[package]]
@@ -5346,13 +5397,13 @@ files = [
 
 [[package]]
 name = "zipp"
-version = "3.18.2"
+version = "3.19.0"
 description = "Backport of pathlib-compatible object wrapper for zip files"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "zipp-3.18.2-py3-none-any.whl", hash = "sha256:dce197b859eb796242b0622af1b8beb0a722d52aa2f57133ead08edd5bf5374e"},
-    {file = "zipp-3.18.2.tar.gz", hash = "sha256:6278d9ddbcfb1f1089a88fde84481528b07b0e10474e09dcfe53dad4069fa059"},
+    {file = "zipp-3.19.0-py3-none-any.whl", hash = "sha256:96dc6ad62f1441bcaccef23b274ec471518daf4fbbc580341204936a5a3dddec"},
+    {file = "zipp-3.19.0.tar.gz", hash = "sha256:952df858fb3164426c976d9338d3961e8e8b3758e2e059e0f754b8c4262625ee"},
 ]
 
 [package.extras]
@@ -5367,4 +5418,4 @@ torch = ["torch"]
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.9,<3.13"
-content-hash = "5bdaa2f0b5d72541884ea18fb07f539cb8f07a9fc6ab81bd2b39bccaea5d8131"
+content-hash = "6cf3363921de1157a4b0a8536a36cb270d9001db2b79d91ca8d0f6fea8f42a44"
diff --git a/pyproject.toml b/pyproject.toml
index 38cd627478..73ee3cd071 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -55,6 +55,7 @@ sphinx-markdown-tables = "^0.0.17"
 sphinx-copybutton = "^0.5.2"
 nbsphinx = "^0.8.12"
 ipython = "^8.10.0"
+seaborn = "^0.13.2"
 
 [tool.poetry.group.tests]
 optional = true