From 518b1f0227c451a5fb2167174f89c27cf4add400 Mon Sep 17 00:00:00 2001 From: Takashi Imamichi Date: Mon, 18 May 2026 15:37:56 +0900 Subject: [PATCH 1/7] update the tutorial on fractional gates --- docs/tutorials/fractional-gates.ipynb | 156 ++++++++++---------------- 1 file changed, 60 insertions(+), 96 deletions(-) diff --git a/docs/tutorials/fractional-gates.ipynb b/docs/tutorials/fractional-gates.ipynb index 179a361c42b..24f400de063 100644 --- a/docs/tutorials/fractional-gates.ipynb +++ b/docs/tutorials/fractional-gates.ipynb @@ -148,7 +148,7 @@ "\n", "Before starting this tutorial, be sure you have the following installed:\n", "- Qiskit SDK v2.0 or later, with [visualization](/docs/api/qiskit/visualization) support\n", - "- Qiskit Runtime v0.37 or later (`pip install qiskit-ibm-runtime`)\n", + "- Qiskit Runtime v0.41 or later (`pip install qiskit-ibm-runtime`)\n", "- Qiskit Basis Constructor (`pip install qiskit_basis_constructor`)" ] }, @@ -188,7 +188,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "fd577102", "metadata": {}, "outputs": [ @@ -196,7 +196,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Backend: ibm_fez\n", + "Backend: ibm_boston\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ "No fractional gates: ['cz', 'id', 'rz', 'sx', 'x']\n", "With fractional gates: ['cz', 'id', 'rx', 'rz', 'rzz', 'sx', 'x']\n" ] @@ -209,9 +215,7 @@ ") # backend should be a heron device or later\n", "backend_name = backend.name\n", "backend_c = service.backend(backend_name) # w/o fractional gates\n", - "backend_f = service.backend(\n", - " backend_name, use_fractional_gates=True\n", - ") # w/ fractional gates\n", + "backend_f = service.backend(backend_name, use_fractional_gates=True) # w/ fractional gates\n", "print(f\"Backend: {backend_name}\")\n", "print(f\"No fractional gates: {backend_c.basis_gates}\")\n", "print(f\"With fractional gates: {backend_f.basis_gates}\")\n", @@ -244,7 +248,7 @@ "where $|\\Phi(x)\\rangle$ represents the feature-mapped quantum state.\n", "\n", "We manually construct a ZZ feature map circuit using RZZ gates.\n", - "Although Qiskit provides a built-in `zz_feature_map`, it does not currently support RZZ gates as of Qiskit v2.0.2 ([see issue](https://github.com/Qiskit/qiskit/issues/14469)).\n", + "Although Qiskit provides a built-in `zz_feature_map`, it does not currently support RZZ gates as of Qiskit v2.4.1 ([see issue](https://github.com/Qiskit/qiskit/issues/14469)).\n", "\n", "Next, we compute the kernel function for identical inputs - for example, $K(x, x) = 1$.\n", "On noisy quantum computers, this value may be less than 1 due to noise.\n", @@ -339,8 +343,9 @@ "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "\"Output" + "
" ] }, "execution_count": 6, @@ -369,8 +374,9 @@ "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "\"Output" + "
" ] }, "execution_count": 7, @@ -379,9 +385,7 @@ } ], "source": [ - "b_qc = [\n", - " circ.assign_parameters(param) for circ, param in zip(circuits, params)\n", - "]\n", + "b_qc = [circ.assign_parameters(param) for circ, param in zip(circuits, params)]\n", "b_qc[0].draw(\"mpl\", fold=-1)" ] }, @@ -413,9 +417,7 @@ "source": [ "backend_f = service.backend(name=backend_name, use_fractional_gates=True)\n", "# pm_f includes `FoldRzzAngle` pass\n", - "pm_f = generate_preset_pass_manager(\n", - " optimization_level=optimization_level, backend=backend_f\n", - ")" + "pm_f = generate_preset_pass_manager(optimization_level=optimization_level, backend=backend_f)" ] }, { @@ -428,13 +430,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "OrderedDict([('rz', 35), ('rzz', 18), ('x', 13), ('rx', 9), ('measure', 4), ('barrier', 2)])\n" + "OrderedDict({'rz': 35, 'rzz': 18, 'x': 13, 'rx': 9, 'measure': 4, 'barrier': 2})\n" ] }, { "data": { + "image/png": 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"text/plain": [ - "\"Output" + "
" ] }, "execution_count": 9, @@ -466,9 +469,7 @@ "source": [ "nnl_f = [qc.num_nonlocal_gates() for qc in t_qc_f]\n", "depth_f = [qc.depth() for qc in t_qc_f]\n", - "duration_f = [\n", - " qc.estimate_duration(backend_f.target, unit=\"u\") for qc in t_qc_f\n", - "]" + "duration_f = [qc.estimate_duration(backend_f.target, unit=\"u\") for qc in t_qc_f]" ] }, { @@ -505,15 +506,7 @@ "execution_count": 12, "id": "a703b939", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "d4bninsi51bc738j97eg\n" - ] - } - ], + "outputs": [], "source": [ "job = sampler_f.run(t_qc_f, shots=shots)\n", "print(job.job_id())" @@ -545,12 +538,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.9005, 0.647, 0.3345, 0.355, 0.3315, 0.174, 0.1875, 0.149, 0.1175, 0.085]\n" + "[0.8995, 0.7985, 0.57, 0.717, 0.5795, 0.5785, 0.456, 0.3155, 0.1785, 0.211]\n" ] } ], "source": [ - "# job = service.job(\"d1obougt0npc73flhiag\")\n", + "# job = service.job(\"d8585pg0bvlc73d5aai0\")\n", "result = job.result()\n", "fidelity_f = [fidelity(result=res) for res in result]\n", "print(fidelity_f)\n", @@ -589,13 +582,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "OrderedDict([('rz', 130), ('sx', 80), ('cz', 36), ('measure', 4), ('barrier', 2)])\n" + "OrderedDict({'rz': 130, 'sx': 80, 'cz': 36, 'measure': 4, 'barrier': 2})\n" ] }, { "data": { + "image/png": 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MiJycnMzr0047LcaNGxdbt26Nf/zjHzF8+PCoV6/eTtvApk2bKpwXoGLKP+qtRvPmzcs8d+nSZYfrCwoKSjq0AQMGlCwfM2ZMHHbYYbHnnnuWLDv44IOje/fu8Ze//CVOPfXUCufp6aefjq5du+4y3YIFC+ILX/hC5u8zzzwz7r777qhO6XIpKiqKXr167bT8jj322EwnPWnSpAr9jw4dOpR7m5z6jaKqrXzp8dgw983YuHBGrPz3w9ut73/ntKjfblvd2JXdd989ijYXDwAqQ72iVERh2dLOe25ifHH0/4tJ143OvN7jmEExf+zkXW635aP1Ubi5IHLr14sF416PKCr6XHnevePusSWnjJnehaTXgaTvP3xeeR8tqtB2qZULolOnTj4AAOq2nFQUrlkeqWZtyr1pk03La82xsKrHxJU9Hk4zJgYAAGqD3NUVjI+uEh8FIAukcqNw7YpINW1d7k0bbxQf/Zj4KAAAUFeJjwJAsuWtWVyxDVfMrzW/nwUAAGDXmjRpUq5i+ngCuPQkamXd1nkiAAAA1B25hR9lntNz63482fmufJy2VdG6aO77YgCAOq3hxuUV2i49Z2eHlk0jWjSOmmY+egAAACoqd1XFbn6bu3qh30oCQBbIW13379UoRg4AAEBFbV2xMHJbl//8ttGGZbXmvBgAqLitH86NvA69yr1dw/UfJiZGvvKlx2PD3Ddj48IZsfLfD9e6e5T5jiCiXlEqorBs5TXvuYnxxdH/LyZdNzrzeo9jBsX8sZN3ud2Wj9ZH4eaCyK1fLxaMez19gW2FP7PdO+4eW3LKmOEySHoboOyydd65+vXr73Tdyy+/HJs2bcr8ffjhh0fDhg0r9D/Gjx8fo0aNKnk9bNiwGDFiRKlr8lu2bBmDBw+OV155JVavXh1vvPFGDBkyZKdtYPPmzRXKCyRdhw4dKrxtXtRiH3e6Gzbs+AD58MMPx7Jly6JZs2bRrVu3kuXTpk2LM844Y7v0/fv3z6yragsXLoyhQ4fGnDlz4vTTT48HHnggcnNzozqtWbOmzGk3btxYof8xefKuB4yftqEg4vBno0q1GXpu5lFZZsyYGY0qsaVsWb8xHuwxokxpV89YEFEU0bJ351g1Y0E069Yh1oxeusvtDr3t0kjVy4tVM+bHvt8dHvlPvxRr5u16u52ZMXNG1GtcsQHDpyW9DiR9/+HzendVxLn/Kv92v7/4xDj4ugU+AADqvN9Oi7h/Vvm2aVk/4qUn7on6ufdEbVDVY+LKHg+nGRMDAAC1wTsrI857ofzb3XfJSXHQ9eKjANR9t78T8afZ5dumdTo++tS9Ub96f7azU+KjAAAAFfP2yojzKxAf/eN3TokhPz1FsQNAHTfro4izJpR/u7u+cXR84VrflQIAANQVkyZNKlf69957Lx566KE44YQTom/fvmXa5rbbbqtg7gAAAICacOGLEa8v3zbZ+a6kJ0Y/qF3EnW+9UqX5AgCg6m3aGnHi3yNWl/P+NRfs3yYum/9+1AbmowcAAKCi3lge8a0Xy7/dg1edHvv94nQFDwB13HurIkZU4F6Noy4+MQ6pJfdqFCMHAACgou6bHvG76eXbpklexL/+96ZonHeTggeAOu7B2RG3vlO+bRqkIib94afRov5PozZI+j3KfEcQsWX9xniwx4gyldfqGQsiiiJa9u4cq2YsiGbdOsSa0Ut3ud2ht10aqXp5sWrG/Nj3u8Mj/+mXYs28XW+3IzNmzoh6jRtGZUl6G6DssnXeuYKCgnj88cd3uG7mzJklfx922GEVev/x48fHqFGjSl4PGzYsRowYkbnO/tPS/+OVV4qvu58xY0YMGTJkh++ZXpeXpxFAdUtFLdahQ4fM8+uvv77dusWLF8fVV1+d+Xvfffct1QGtXLkyWrZsud02rVu3jhUrVkRVu+GGG2LWrFnx5S9/OXPQqInOrXfv3iWd/rx583aYZuzYsZnnPn36VGveKJ/5f58cexw3OPIaN4wtazfsMn2/b5wYHQ/dO6bc8mhM+NbNkcrNjUNvvUSxA1mhX8uI/tsf4j9T58YRB7arqhwBQPUa3iWi7FNiFjt1z4j6uVWUIQAAAKpN/1YRe5UzPrpnk4gh4qMAZInhXcsfHz2li/goAABANkj/drRvi/Jt06VpxOC2VZUjAKA69WweMbBN+bbp0CjisPZVlSMAAABqg549e8bf/va3zDMAAACQnU7vWj3bAABQ+zTIjThlz/LfdOM040EAAACywH6tI3o2K9826fQDWldVjgCA6tS3ZcTercq3TafGEQeZixwAAIAscGqXiLxy3phk2B4RjfOqKkcAQHU6eY+IBukfhpfDsZ0iWtSvqhxB1Zv/98mxx3GDI69xw9iydsMu0/f7xonR8dC9Y8otj8aEb90cqdzcOPTWS3xUZL1smHdu7ty5mefc3Nzo2rX8F0GNHz8+Ro0aVfJ62LBhMWLEiMjJ2fGJdI8ePbb730DtUc5hb/U6+uijM8+//vWvY8aMGSXLJ02aFEOHDo1ly5ZlXu+3335VnpcvfOELMXz48GjSpMku095+++1xww03xMMPPxx5eTUTMTz22GNjt912iy1btsQZZ5xRqvw2bNgQ11xzTYwbNy7z+mtf+1qN5JGymT92cuxx7KDY/cgBsehfb31m2mbdOsTAH50dH74xM96+86lYNWNBTLn5kehwcP/MAB4gG1y3f0TTMh5e66cifjYwIlXOL/0AoLbq1CTiyv5lT5+++fIFvasyRwAAAFSnn+wX0aSM8dH0DyB/Kj4KQBbp3CTiinLER/dqGXFBr6rMEQAAANUlfc3a9fuXPT7aMDfip/sXbwcAZIdrB0Q0r1e2tPX+cy1JrrEAAABAVkvP6dOqVasam9sHAAAAqHpH7158A5Dy3GDkCx2qMkcAAFSnb/aO6NOi7Omv2jti98ZVmSMAAACoxuvrB0Y0zi1b+nS6Gwa6vh4Asm0u8vLcq/Hn5iIHAAAgS7RtGPGDfcuevnuziIv7VmWOAIDq1Lx+xH/tV/b0ezSJuHyvqswRVL35YyfHHscOit2PHBCL/vXWZ6Zt1q1DDPzR2fHhGzPj7TufilUzFsSUmx+JDgf3j37fONHHRVar6/PObd26NRYsWJD5u1OnTlG/fv1ybT9+/PgYNWpUyethw4bFiBEjIuczbsqSLq/0I23evHkVzjtQNVJRi11zzTXRpk2bmD9/fvTv3z/22Wef6NWrVwwZMiS6d+8eRx11VCbdgAEDSm2X7nRWrVq13futWLEiWrduXaG83HDDDfHYY49Fu3btdpm2UaNG8ZOf/CTq1SvjXS124cUXX4y2bduWPG655ZbM8j//+c+llqfTfaxJkybx4IMPZp4nTZoU/fr1y5RZuqzSaUeOHJlJd+mll8Ypp5xSKfmkaix99d1o3r1jdDlhSHw4afrOE+bkxGG3XRapVCr+fcWdUVRYmFn89l3/F8umzMoM4Jt1ae9jAuq89Jdyvzskok2Dz07XrF7EHQdF7FOxQz8A1Fpn94i4sn/Eru6LuG+riDsPimhcN+OYAAAA7EDP5hH3lCE+2jwdHz04Yu/i32oAQNY4p3vEd8vwo/39Wkf89qCIRuKjAAAAWRUfvfvgiNb1yxAfPSiiv/goAGSVLk0j7j0kYreGn52uSV7EbQdG7N+munIGAABATUlPpPa9732vZEI1AAAAIPukciJu2D9iWOddpz11z4hrB2SmZgUAIEuk59K866DiuTU/S3oIeFX/iLO6V1fOAAAAoOr1bRFx18ERLXdxfX16fTpdnxY+FQBI6r0a0/OvulcjAAAA2eTULhE/2jcitYt0/VoUz1WbPj8GALLH8Z2LryvM3cW1gj2aFd/Xs9UuYulQ2y199d1o3r1jdDlhSHw4afrOE+bkxGG3XRapVCr+fcWdUVRYmFn89l3/F8umzIqBPzo7mnVpX30Zh2pW1+ed27RpUxT+p922bNmyXNuOHz8+Ro0aVfJ62LBhMWLEiMgpw4X1LVoU/7Bsw4YN5c4zULVq9a12O3fuHC+88EJcffXV8c9//jPy8/Njr732invvvTe+9a1vRY8ePTLpBgwYUGq7fv36xbRp07Z7v/SyI444IuqaLVu2xPLly3fYqacfn0z3SUcffXS89dZbceutt8bzzz8f8+bNyxzA2rZtG8ccc0ymDNOdObVb0dbCWDjhzeK//3MQ35H+F50c7Yf0jck/+1Osnrlw2/aFhZmB+8ljR8aht14Sfz3tumrJN0BV6tsy4vGjIp5ZEPHY3Ii5a0uvv3yviC/tEdFSwA6ALHVOj4hDd4t4fF7EX96PWFuwbd2QthGnd404okNE3q5+8QIAAECds1fLiMfS8dH5EY/lR+R/Kj56xV4RJ4uPApCl0r9VHNEz4tD2EY/nR/xlfsS6T8VHz+gWcXh78VEAAIBs1L9VxONfLI6PPpofMe9T8dHv7hVx0p67nkgdAKiberWIeGRoxHMLiscCc9aUXn9Zv4gv7RnR2rUkAAAAibB27drMvETp+XMAAACA7FUvFXH9/sU3EUt/Vzx+UURB0bb1J3SKOL1bxL6tiq89AgAgu6Tnlx51aMS/lhTPszJxWen1X+0eMbxLRNdmNZVDAAAAqDr7tC6+P9OY+cXzrr2/rvT6K/tHnLRHRAvX1wNAVnKvRgAAAJLstK4Rg9tGPDEv4un3I1Zv2bZuYJvi+zYP7Vh8zQEAkH2G7RGxf5uIJ+dFPDUvYuXmbevS1xKm71F2VMeIBrk1mUuoHEVbC2PhhDeL/y4s3Gm6/hedHO2H9I3JP/tTrJ65cNv2hYXx7yvujJPHjoxDb70k/nradT4aslJdn3euYcOGcc8998TmzZsjN7fsB7CioqKYMWNGyethw4bFiBEjIqeMF9ZfddVVmed69epVINdAVcqLWq5fv34xZsyYHXbI+fn5kUqlYu+99y617qSTToof/ehHsWDBgujcuXNm2auvvhqzZ8+OkSNHRl1z5JFHZjriiujevXv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"text/plain": [ - "\"Output" + "
" ] }, "execution_count": 15, @@ -606,9 +600,7 @@ "source": [ "# step 2: optimize circuits\n", "backend_c = service.backend(backend_name) # w/o fractional gates\n", - "pm_c = generate_preset_pass_manager(\n", - " optimization_level=optimization_level, backend=backend_c\n", - ")\n", + "pm_c = generate_preset_pass_manager(optimization_level=optimization_level, backend=backend_c)\n", "t_qc_c = pm_c.run(circuits)\n", "print(t_qc_c[0].count_ops())\n", "t_qc_c[0].draw(\"mpl\", fold=-1)" @@ -623,9 +615,7 @@ "source": [ "nnl_c = [qc.num_nonlocal_gates() for qc in t_qc_c]\n", "depth_c = [qc.depth() for qc in t_qc_c]\n", - "duration_c = [\n", - " qc.estimate_duration(backend_c.target, unit=\"u\") for qc in t_qc_c\n", - "]" + "duration_c = [qc.estimate_duration(backend_c.target, unit=\"u\") for qc in t_qc_c]" ] }, { @@ -647,15 +637,7 @@ "execution_count": 18, "id": "983dd26f", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "d4bnirvnmdfs73ae3a2g\n" - ] - } - ], + "outputs": [], "source": [ "job = sampler_c.run(pubs=zip(t_qc_c, params), shots=shots)\n", "print(job.job_id())" @@ -671,13 +653,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.6675, 0.5725, 0.098, 0.102, 0.065, 0.0235, 0.006, 0.0015, 0.0015, 0.002]\n" + "[0.8875, 0.623, 0.4395, 0.2425, 0.1985, 0.085, 0.029, 0.003, 0.0005, 0.0]\n" ] } ], "source": [ "# step 4: post-processing\n", - "# job = service.job(\"d1obp8j3rr0s73bg4810\")\n", + "# job = service.job(\"d8585uegbeec73aorp10\")\n", "result = job.result()\n", "fidelity_c = [fidelity(res) for res in result]\n", "print(fidelity_c)\n", @@ -704,7 +686,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 20, @@ -713,8 +695,9 @@ }, { "data": { + "image/png": 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", "text/plain": [ - "\"Output" + "
" ] }, "metadata": {}, @@ -740,7 +723,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 21, @@ -749,8 +732,9 @@ }, { "data": { + "image/png": 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", "text/plain": [ - "\"Output" + "
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", "text/plain": [ - "\"Output" + "
" ] }, "metadata": {}, @@ -812,7 +797,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 23, @@ -821,8 +806,9 @@ }, { "data": { + "image/png": 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", "text/plain": [ - "\"Output" + "
" ] }, "metadata": {}, @@ -940,8 +926,9 @@ "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "\"Output" + "
" ] }, "execution_count": 27, @@ -973,13 +960,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "OrderedDict([('rz', 23), ('sx', 16), ('cz', 4)])\n" + "OrderedDict({'rz': 23, 'sx': 16, 'cz': 4})\n" ] }, { "data": { + "image/png": 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", "text/plain": [ - "\"Output" + "
" ] }, "execution_count": 28, @@ -988,9 +976,7 @@ } ], "source": [ - "pm_c = generate_preset_pass_manager(\n", - " optimization_level=optimization_level, backend=backend_c\n", - ")\n", + "pm_c = generate_preset_pass_manager(optimization_level=optimization_level, backend=backend_c)\n", "t_qc = pm_c.run(qc)\n", "print(t_qc.count_ops())\n", "t_qc.draw(\"mpl\")" @@ -1015,13 +1001,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "OrderedDict([('rz', 22), ('sx', 14), ('cz', 4), ('rx', 1)])\n" + "OrderedDict({'rz': 22, 'sx': 14, 'cz': 4, 'rx': 1})\n" ] }, { "data": { + "image/png": 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", "text/plain": [ - "\"Output" + "
" ] }, "execution_count": 29, @@ -1122,13 +1109,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "OrderedDict([('rz', 16), ('rx', 9), ('cz', 4)])\n" + "OrderedDict({'rz': 16, 'rx': 9, 'cz': 4})\n" ] }, { "data": { + "image/png": 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"text/plain": [ - "\"Output" + "
" ] }, "execution_count": 33, @@ -1162,8 +1150,8 @@ "source": [ "### Issue: Invalid RZZ angles might remain after transpilation\n", "\n", - "As of Qiskit v2.0.3, there are known issues where RZZ gates with invalid angles may remain in the circuits even after transpilation.\n", - "The issue typically arises under the following conditions." + "As of Qiskit v2.4.1, there is a known issue where RZZ gates with invalid angles may remain in the circuits even after transpilation.\n", + "The issue typically arises under the following condition." ] }, { @@ -1175,17 +1163,7 @@ "\n", "When the `target` option is used with `generate_preset_pass_manager` or `transpiler`, the specialized transpiler pass `FoldRzzAngle` is not invoked.\n", "To ensure proper handling of RZZ angles for fractional gates, we recommend always using the `backend` option instead.\n", - "See [this issue](https://github.com/Qiskit/qiskit/issues/14318) for more details." - ] - }, - { - "cell_type": "markdown", - "id": "ac27c7cb", - "metadata": {}, - "source": [ - "#### Failure when circuits contain certain gates\n", - "\n", - "If your circuit includes certain gates such as `XXPlusYYGate`, the Qiskit transpiler may generate RZZ gates with invalid angles.\n", + "See [this issue](https://github.com/Qiskit/qiskit/issues/14318) for more details.\n", "If you encounter this issue, see this [GitHub issue](https://github.com/Qiskit/qiskit-ibm-runtime/issues/2256#issuecomment-2889487152) for a workaround." ] }, @@ -1203,22 +1181,8 @@ } ], "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3" + "name": "python" } }, "nbformat": 4, From 2388d5448316add68241d5fef24fde395b3e5877 Mon Sep 17 00:00:00 2001 From: Takashi 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zxK*iAjYU@O5`JDe+Q1fkzhAl|+2dmHz$B09J@3MwEg`LZ!Ty|T>KnR90aM@i_%2KMwg3*s^*}t7H*zGV(vKaP9u&UdB>zS-cAN=-*)&tK-R9v z2Hy&btR+p03FdvcF1bNkm5A>}_7QwP<568J)h7ITm9L_d>u_U#8Fw*EE9uq)hBe*) z)}J!o!AF=+7RHq=@mmK|#qK@kVIhyA{8{2Cs4a2!iwz`tGk3-7g7&x&$q=Ld=ukZ9 zi{lR~dIQ6AQK2WhoW^6$VWT_k)eryS`Ac2aSY1H&w5t(O#FFR(I^ca7!7|K5X44%> z^koOM+vS5?TFl7iF%GpmrfK0}C+$6A__92O=DfreENcxgXz!xi-=aqrP6oWn)xg$i zoJp=V`{1ARHr2GbS#JAY*G70R%A|8xu^E0+%Rd!F#^)cC*Rf}XZ_-3&@Zh^@nUDka_;z+ zq3$g!$%6x{oHbJ60=~6h06Y4wcDEu(sEjHi#h`xB}J-n2x5lE^@p z>$-=MJ&UK%#b9XssWOp^{SDAuS5dYCZ}7l7iD9gKerG@fiLR&i!GJ%66U#A3FM)mb zuO8OK#OlWn5xnJ7rpr7_WDtDEmB1e}q@rWc8MJ2Kjr-JmFR3Py Date: Mon, 18 May 2026 15:53:15 +0900 Subject: [PATCH 3/7] ruff --- docs/tutorials/fractional-gates.ipynb | 28 ++++++++++++++++++++------- 1 file changed, 21 insertions(+), 7 deletions(-) diff --git a/docs/tutorials/fractional-gates.ipynb b/docs/tutorials/fractional-gates.ipynb index 24f400de063..86fc0c3a970 100644 --- a/docs/tutorials/fractional-gates.ipynb +++ b/docs/tutorials/fractional-gates.ipynb @@ -215,7 +215,9 @@ ") # backend should be a heron device or later\n", "backend_name = backend.name\n", "backend_c = service.backend(backend_name) # w/o fractional gates\n", - "backend_f = service.backend(backend_name, use_fractional_gates=True) # w/ fractional gates\n", + "backend_f = service.backend(\n", + " backend_name, use_fractional_gates=True\n", + ") # w/ fractional gates\n", "print(f\"Backend: {backend_name}\")\n", "print(f\"No fractional gates: {backend_c.basis_gates}\")\n", "print(f\"With fractional gates: {backend_f.basis_gates}\")\n", @@ -385,7 +387,9 @@ } ], "source": [ - "b_qc = [circ.assign_parameters(param) for circ, param in zip(circuits, params)]\n", + "b_qc = [\n", + " circ.assign_parameters(param) for circ, param in zip(circuits, params)\n", + "]\n", "b_qc[0].draw(\"mpl\", fold=-1)" ] }, @@ -417,7 +421,9 @@ "source": [ "backend_f = service.backend(name=backend_name, use_fractional_gates=True)\n", "# pm_f includes `FoldRzzAngle` pass\n", - "pm_f = generate_preset_pass_manager(optimization_level=optimization_level, backend=backend_f)" + "pm_f = generate_preset_pass_manager(\n", + " optimization_level=optimization_level, backend=backend_f\n", + ")" ] }, { @@ -469,7 +475,9 @@ "source": [ "nnl_f = [qc.num_nonlocal_gates() for qc in t_qc_f]\n", "depth_f = [qc.depth() for qc in t_qc_f]\n", - "duration_f = [qc.estimate_duration(backend_f.target, unit=\"u\") for qc in t_qc_f]" + "duration_f = [\n", + " qc.estimate_duration(backend_f.target, unit=\"u\") for qc in t_qc_f\n", + "]" ] }, { @@ -600,7 +608,9 @@ "source": [ "# step 2: optimize circuits\n", "backend_c = service.backend(backend_name) # w/o fractional gates\n", - "pm_c = generate_preset_pass_manager(optimization_level=optimization_level, backend=backend_c)\n", + "pm_c = generate_preset_pass_manager(\n", + " optimization_level=optimization_level, backend=backend_c\n", + ")\n", "t_qc_c = pm_c.run(circuits)\n", "print(t_qc_c[0].count_ops())\n", "t_qc_c[0].draw(\"mpl\", fold=-1)" @@ -615,7 +625,9 @@ "source": [ "nnl_c = [qc.num_nonlocal_gates() for qc in t_qc_c]\n", "depth_c = [qc.depth() for qc in t_qc_c]\n", - "duration_c = [qc.estimate_duration(backend_c.target, unit=\"u\") for qc in t_qc_c]" + "duration_c = [\n", + " qc.estimate_duration(backend_c.target, unit=\"u\") for qc in t_qc_c\n", + "]" ] }, { @@ -976,7 +988,9 @@ } ], "source": [ - "pm_c = generate_preset_pass_manager(optimization_level=optimization_level, backend=backend_c)\n", + "pm_c = generate_preset_pass_manager(\n", + " optimization_level=optimization_level, backend=backend_c\n", + ")\n", "t_qc = pm_c.run(qc)\n", "print(t_qc.count_ops())\n", "t_qc.draw(\"mpl\")" From f472a5b450bf20150b42de3ff299241cdcd3e0ff Mon Sep 17 00:00:00 2001 From: Takashi Imamichi Date: Mon, 18 May 2026 16:39:13 +0900 Subject: [PATCH 4/7] revert kernelspec --- docs/tutorials/fractional-gates.ipynb | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/docs/tutorials/fractional-gates.ipynb b/docs/tutorials/fractional-gates.ipynb index 86fc0c3a970..77f99a266c8 100644 --- a/docs/tutorials/fractional-gates.ipynb +++ b/docs/tutorials/fractional-gates.ipynb @@ -1195,6 +1195,11 @@ } ], "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, "language_info": { "name": "python" } From 2ad722c9c1f6277b0741e50104b056f1d07c117c Mon Sep 17 00:00:00 2001 From: Takashi Imamichi Date: Mon, 18 May 2026 16:55:14 +0900 Subject: [PATCH 5/7] squeaky --- docs/tutorials/fractional-gates.ipynb | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/docs/tutorials/fractional-gates.ipynb b/docs/tutorials/fractional-gates.ipynb index 77f99a266c8..0b9e7861704 100644 --- a/docs/tutorials/fractional-gates.ipynb +++ b/docs/tutorials/fractional-gates.ipynb @@ -1201,7 +1201,16 @@ "name": "python3" }, "language_info": { - "name": "python" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3" } }, "nbformat": 4, From 27e2d866b099437e23a8bc35b785ce28e854e0f5 Mon Sep 17 00:00:00 2001 From: Takashi Imamichi Date: Mon, 18 May 2026 17:03:15 +0900 Subject: [PATCH 6/7] extract images --- docs/tutorials/fractional-gates.ipynb | 36 ++++++------------ .../extracted-outputs/1383b242-1.avif | Bin 0 -> 8083 bytes .../extracted-outputs/6b812497-0.avif | Bin 0 -> 3175 bytes .../extracted-outputs/6c9c1977-0.avif | Bin 0 -> 11882 bytes .../extracted-outputs/8b4594f5-1.avif | Bin 0 -> 7228 bytes .../extracted-outputs/98bb2cd0-1.avif | Bin 0 -> 6731 bytes .../extracted-outputs/9e8e0709-1.avif | Bin 0 -> 9778 bytes .../extracted-outputs/a10f2d95-1.avif | Bin 0 -> 33158 bytes .../extracted-outputs/a18e5c70-1.avif | Bin 0 -> 15016 bytes .../extracted-outputs/b19aae7c-1.avif | Bin 0 -> 6310 bytes .../extracted-outputs/b3d6341a-0.avif | Bin 0 -> 13612 bytes .../extracted-outputs/db45feb0-1.avif | Bin 0 -> 9929 bytes .../extracted-outputs/ef343a53-1.avif | Bin 0 -> 5616 bytes 13 files changed, 12 insertions(+), 24 deletions(-) create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/1383b242-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/6b812497-0.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/6c9c1977-0.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/8b4594f5-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/98bb2cd0-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/9e8e0709-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/a10f2d95-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/a18e5c70-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/b19aae7c-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/b3d6341a-0.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/db45feb0-1.avif create mode 100644 public/docs/images/tutorials/fractional-gates/extracted-outputs/ef343a53-1.avif diff --git a/docs/tutorials/fractional-gates.ipynb b/docs/tutorials/fractional-gates.ipynb index 0b9e7861704..2bdbcfce9a3 100644 --- a/docs/tutorials/fractional-gates.ipynb +++ b/docs/tutorials/fractional-gates.ipynb @@ -345,9 +345,8 @@ "outputs": [ { "data": { - "image/png": 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mnjCpBFlnjAIAikdFZXXeUi6uHx+xvCJfLYLmJx4GgOLyi/ERK+tRqGiNe9+JmPR+PlsEzUs8TBbzZlavXh3XXHNNLFiwIH2cHFNSuGj77bdv8HMuWrQoli1btt6ymTNnRlVykRjQIilWlCe33XZbVFZWxqmnnrpRFbc12rdvv1GxoiVLlsQBBxwQ06dPT5/jV7/6VYwdOzY+8YlPpM9XqD5YvTrmlZfXeCsW7fpvEz32/Z9Y8sojseT1seutm/PXn8Xi5+6Prb9xT5S2zUZFRJrXHVNz3ycpbjR3RT5aA7QEzkNAMXl1YcTEHAcskkT4e6blq0VASyAeAmg6dzagb+pf70XMWH+MEQDImCRRaenSpek9AJBdd0+LyDXL7Y1FEa8vzFODoAUwRgEAxePx2RHzc7xEYmlFxN9n5KtF0PzEwwBQPKYuiRg3r2nyzaBQFHs8rL5ANvNm7r///pg0qXr2kr59+8bFF18c3bp1a/DzPfXUU3HdddetLUy0pgbH5MmT098FtEyKFeXJo48+mt4nhYdqkxQk2rBYUVKcaMaMGXHPPfekBYpOPPHE+OMf/xj/+c9/4r777otC9b0Jr8eAh++t8VZM+p14cURpacz843fWLlvyymMx/davxdCL7oi2fYc0a/vIzowcj8zMfb/kAv2G7AcUDuchoFg0NHlH0g9kn3gIIP+SccKHGxCPJcOL/9A3BQCZ9tZbb8WBBx6Y3gMA2dWQfoGEcRqyzhgFABSHv09v4H6KFZFx4mEAKA4Nzf9qaL8yFIpijofVF8he3szs2bPjjjvuSH8uKSmJc889N7p27dpohYoOPvjg+PrXv54+dyL5XcnvBFqekqo1/7k0qi222CItRvTiiy/G6NGjN1pfUVER/fv3j3nz5qWV44YOHbpecaPHHntsve233nrr2H///eO3v/1tzm3Zddddc/4Qbl9aGm+M3jM21xPz5sTBTz8enxs8NI4fsEWN2xz2nyfi8D79457d992s37XtS0/H8spc5+WqWUmb9tH3mvyf7MvfmxpvfnW36P8/l0SfI87drOd67/xhUbVyeaO1jcJV0qlH9L3ilQbtu/TB/4ulf72y0dsEtMxzUWOehxLORUBL0fUz10X7XY/Oeb/KDxbHnK9ul5c2AbnxvRyggLVuF/3+7+0G7brskV/Fkru+1+hNAgDy54QTTqj3tnPmzInbbrstTjnllOjTp0+997vzzjsb2DoAoDn0+emEKG3XMef9lo/7Syy++X/z0ibIes6GfA0AaDl6fOXuaLPNmJz3WzXzzZj/g4Py0ibIejycEBMDQMvQ+aQfRMf9P92gfWefOySisqLR2wS5KvZ4uNjrC+QrZ6aheTPNkTPTpk2buPzyy2tdf8stt8SDDz6Y/vyJT3wiTjvttEYtVHTmmWdGaWlp/P73v4/7778/XX7YYYfFGWecUevzfOMb34iVK1c2uB1QzPr16xfPPfdcg/Yta/TWkFq2bFl6v3x5zSf322+/PS1U1Llz59hqq63WLn/jjTfixBNP3Gj77bbbLl3XEEmhohkzcist2qFVq4iNayw12DadOsXHeveNfJo5c2Z8sHp1ozxXadsOkd/WRlSWfxCTLj8muo45qlGCyeT4k+eEVh2XNfjv9/2F82NWjp8XQH7k+1zU2OehhHMR0FK0Xrok2jdgv9WrVub83QnID9/LAQpXSVnr6NfAfZcsWigeA4ACHRevjzVj58l9LvvprwGAwtKrYmWURu7FipYtWeS8T4tRaDkb8jUAoOXouPyDaNOA/VatWC4epsUotHg4ISYGgJZh0PuLGtA7HFFVWRkzpr8T8d9iFdCcij0eLvb6ArnIJfeloXkzzZEz07Zt21rXrVixIp544om1RY2OOeaYvBQqSiTP/fe//z1WrVqV/s6TTz452rVrV+vfQHl5eYPbAjSMYkV5rCC1cOHCeOGFF2LPPdevIDhr1qy48MIL05933HHHKCkpWbsu2adbt24bPV+PHj1iwoQJDW5LQyofFpoBAwY0WuXDpPJlvi38912xfMrLsWLGxFj41O0brd/u529Em96Dczr+xqp8SYErKYnVS+ZFq869ct61w4r5MXDgwLw0C2hZ56LGPg8lnIuAlqLN0vcatF/V/GliIWghfC8HKGyr50+PVj0H5bxf++XzxGMAUGA6dqx/qumaRKv27dvntJ+xKwAoLJXzpkV06p7zfm2Xvue8T4tRaDkb8jUAoOVotXhmg/YrWThdPEyLUWjxcEJMDAAtQ/sP5jZov9Vzp8bAAQMavT3QEMUeDxd7fYFc5JL70tC8mebImUmKENXm2WefjQ8+qC6Mtddee0WnTp3yUqgokTz33nvvHY8//nj6O5Pfve+++9b6N7By5coGtQWKXb8G1KJZQ7GiPDnooINi/Pjx8eMf/zj9gBw+fHi6PPkgPP3002PevHnp49GjG7G8YC2ee+65nPepWrEiKk46IwrJxIkTo6SWini5Wl4Rse8DkVc9Dzg9vTWWiRPfivb+o/mv68ZH3PRWbi9H1zYR/7rrumjb6jqvI7QA+T4XNfZ5KOFcBLQUs5dHHPWPiFy7Gn9w3K5x1PnT89QqIBe+lwMUtt9MjPjlm7nt07Es4ok/Xhkdy67MV7MAgDxIxr/r680334zbbrstDjvssBg5cmS997vmmmsa2DoAoDn8ZVrED1/ObZ9WJRFPXff16N3u6/lqFmQ6Z0O+BgC0HK8vjDhjbO773XjukbH7pUfmo0mQ+Xg4ISYGgJZhyaqIQ/8eUZ5jIv8FBwyN0z8vj5+Wodjj4WKvL5CvnJmG5s00R85MRUVF3HXXXTWue+utDy9cTwoJ5atQ0bq/IylWtOZ311asKPkbKCtTZAGaWuGVtysQF110UfTs2TPefffd2G677WKHHXaIYcOGxZgxY2Lo0KFx4IEHptvttNNO6+3XvXv3WLRo0UbPt2DBgujRo0eTtR8obMdtmfsH/FFbRLRtlacGAQA0oX7tI/bLsahvl9YRHzcZAwBAozhmcERZSW77HD6oumARAJBd22yzTfz9739P7wGA7Dp0YESnHL/j798vonfT55ADAECj2657xLbdcttncMeI3Xp5MwAAKHydW0ccOii3fdqWRhw5OF8tAmg5spA3M3ny5LU/b7311nktVLTh71j3dwMtg2JFeTJo0KAYO3ZsHHHEEdGuXbuYOnVqWmzohhtuiL/97W9phbaaihWNGjUq3njjjY2eL1mWrAOoj/4dIr6yff1fqxFdIz43wmsLAGTHhTtE9GlX/y/G39s5op2L4wEAGkWvdhFf37H+2w/tHPFF3d8AkHnJDGbJ5D1mMgOAbEtm7v3uRyLqW8e4b/uIr+6Q50YBAEAT+s7o+k/SkVyY/f2dI0pznAgEAABaqv/dtrogZ31dvFNEtzb5bBFAy5CFvJl33nknve/bt2906NAhr4WKEsnv6Nevejb7adOmbVbbgcanWFEeJcWF7r///liyZEl6e+aZZ+Kss86KZcuWpcWLkg/P7bdfv5rIJz7xifTDdvr06WuXJftNmjQpjjzyyHw2F8iY/xkaccH2m07+2qF7xM/3MHM9AJAtSWL7DXtFbLGJgY42pRE/3i1in75N1TIAgOJwzJYR39wxotUmOqdGdo34xZ7Vs2oBANmWjIFfcMEF642FAwDZtH//iMt3rR6HqUtywUoyntO7nhNQAABAIdimS8T1e0X0bFv3dl1aR/x8z4jtujdVywAAIP+SwkO/3CtiWJe6t0vyyi4ZHXH4Ft4VoDgUet5MRUVFrFy5Mv25W7dueS9UtEbXrl3T+1WrVsXq1asb1HYgPwq39FoBe/3119MP0+HDh29UNS4pZnTttdfG0UcfHZdeemmsWLEiLrroohgzZky6rNB8tFefWHnkSXVus6n1QMOdMjRizz4Rd02N+Os7EUsrPlw3plfE8UMiPtovokzpOgAgg7boFHHbRyP+PjPijikRby7+cF0S/nx2eMSxW0b0ad+crQQAyK7jhkTs1ivi7mkR970TsXjVh+t27hlxwpCIA/pHtNY3BQBFYenSpTF27Nj4/Oc/39xNAQCawEEDqifQumdadd/A/PIP123bLeLEIREHD4xo18rbAQBA9iQx750HRvzt3Yg7p0ZMXfrhutKSiP8dFXHkFhHdNlHQCAAAClGSn3/LvhGPzoq4Y2rEyws+XJfMffepbSKO2zJi4CYmJgYKl/oC2cubadWqVVx//fVp0aCSkk3MZLqBt956q0GFihLnnntuum/r1q3rvQ/QNBQragavvvpqer/TTjtttK5Lly7x6KOPxpe//OX4n//5nygrK4tPfOITcfXVV/sABRpkSKeIC7b/76DWP6uTv3q1jfjFXl5QACD72pVFHD044qgtIhaUR5zyeMSCldUzl509srlbBwBQHAUkv7xdxBdHRXziHx/2Tf1q7+ZuGQAAAJBvfdtXj8ckE0gcsU6/wK37ee0BAMi+zq0j/mdoxMlbRcwrjzh1Td5Sm4jTt2nu1gEAQH61aRVx6KDq28LyiJMfq46Hkz7i/93Wqw9QaJICRd27d2/QvmeccUZUVlamP+dSqCjRu3fvBv1OIP+UD2thxYoSW2+9ddx///1phbxFixbF73//ex+kQKN8wW9V8uGMHAAAxSQp2t2zXUTZf78F51jEGwCAzdS6VN8UAAAAFKtkfEbOClR7/uiSeP28HWLxcw+sfUmSn9/4fzvHG+ePjtf/d/uY/+gta9dNuPiAeOnUHvHefdd4CQGgQCV5Sr3lLUGt8fAa8/55U7p+0X/uWbtMPAwA2dC9rTx+qC0eXjHzrXjzor3itXOGx/gLdovl77y+dp14mKxIihMlRYpyLVQEtGz+m1tgsSKyY94jN8eLp3SN8V/Zde2yVYvmxFvfPTRe+8KwNLFgyetPrl035Senxstn9It3f3N+M7UYgGI4F63x/iuPxvPHtlovoW36TRfGK58dHG9fdkwTtxQAoGlioWUTx8WbF+4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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 6, @@ -376,9 +375,8 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 7, @@ -441,9 +439,8 @@ }, { "data": { - "image/png": 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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 9, @@ -595,9 +592,8 @@ }, { "data": { - "image/png": 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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 15, @@ -707,9 +703,8 @@ }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "\"Output" ] }, "metadata": {}, @@ -744,9 +739,8 @@ }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "\"Output" ] }, "metadata": {}, @@ -781,9 +775,8 @@ }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "\"Output" ] }, "metadata": {}, @@ -818,9 +811,8 @@ }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "\"Output" ] }, "metadata": {}, @@ -938,9 +930,8 @@ "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "\"Output" ] }, "execution_count": 27, @@ -977,9 +968,8 @@ }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "\"Output" ] }, "execution_count": 28, @@ -1020,9 +1010,8 @@ }, { "data": { - "image/png": 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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 29, @@ -1128,9 +1117,8 @@ }, { "data": { - "image/png": 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"text/plain": [ - "
" + "\"Output" ] }, "execution_count": 33, diff --git a/public/docs/images/tutorials/fractional-gates/extracted-outputs/1383b242-1.avif b/public/docs/images/tutorials/fractional-gates/extracted-outputs/1383b242-1.avif new file mode 100644 index 0000000000000000000000000000000000000000..6a11c9a2df3f180ab15310753d4a738e6ccca91e GIT binary patch literal 8083 zcmYLuWmH^C)9&DdySrO(4eoA1gS!kmxCe*ep5X2h+$FdN0)fGTyE_C3!^b)2zU$VH zu1Bg?clFwT_G$nCKxX6N3pV!x*#O?c31q|d4|W2Xzi}9_leLHWKl)ox+gUlf{RaU6 zFv!y5fB1hH0}S$T`j^1Gt-K&d7t4Q`j06A{@Q(t3N&7DY0OV6|+FMYX{Z9e#yiq|A z$ob!6{OjVs5$k`;-nz}bIJy4m`2XUY^FOf;1a4uL`YrvVS- z4z~UW006MUZ)X^N16W{?59l8S4hRIkrT_po+y7kaA!IfBgHe1*&%!FK=N7dZ&*^e=d8eVZOG1Qree3m*=P z5cwvMfZVMA8}n_uw`RwGFX(MZ3M3~ha}OK<3JQ@8?Kd8HcwQ1L?k-`KVA$qBwrmp5 zloR9Hkm!hjMXIk8tGK$$_x++H8RCwSgIt|ZSuU2HHFx?}ofu~kn{lKGmqW*EG z+)Hhpeau$lpJj_91`b`%Qm)2eX|PxkWce0*W`5Cva$B(~JMc9bKLR-nk)2w@!O}#9M_u|EdV<`Ws%X*4D3&RFDl3pYdU{O^O6W{eA8rN15f9F?NIu4jdu& 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zdh~1vOMby@5lhD`Z64Y^8Ei}A+<<*@v%)*V{|Qsw3w?}z?t#o+^7mdn+5^uxB!?y6v}kHIaL9lN?0Mh@P@2UT@}0kez=h1cVW-O@)zlE>KCe*b@T7PWDpYV zi*s+*zn6)v+6|}YM34=(CNWj4^aZYLR1`)~&ME8`^5(%l>CBrB9FDFbMqvY#-4Px?4*t;FvAiu6mtNg=f_ABD*OJ_=ETIB8!9 oz4$l689~2`tgcrJM72oAutMLJe(_6 Date: Mon, 18 May 2026 09:17:18 -0400 Subject: [PATCH 7/7] small tweak for translation --- docs/tutorials/fractional-gates.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/tutorials/fractional-gates.ipynb b/docs/tutorials/fractional-gates.ipynb index 2bdbcfce9a3..6acb8384bbe 100644 --- a/docs/tutorials/fractional-gates.ipynb +++ b/docs/tutorials/fractional-gates.ipynb @@ -1152,7 +1152,7 @@ "source": [ "### Issue: Invalid RZZ angles might remain after transpilation\n", "\n", - "As of Qiskit v2.4.1, there is a known issue where RZZ gates with invalid angles may remain in the circuits even after transpilation.\n", + "As of Qiskit v2.4.1, there is a known issue where RZZ gates with invalid angles might remain in the circuits even after transpilation.\n", "The issue typically arises under the following condition." ] },