From c005957aa2067bf7636a27a750efbcdbefb448aa Mon Sep 17 00:00:00 2001 From: Tristan NEMOZ Date: Sun, 14 Sep 2025 13:19:40 +0200 Subject: [PATCH 1/2] Replaced GroverOperator uses by grover_operator --- docs/tutorials/06_grover.ipynb | 108 +++++++----------- .../amplification_problem.py | 6 +- .../amplitude_amplifiers/grover.py | 6 +- .../estimation_problem.py | 12 +- ...er_operator-function-8221f7abca3b84d6.yaml | 9 ++ test/test_grover.py | 24 ++-- 6 files changed, 77 insertions(+), 88 deletions(-) create mode 100644 releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml diff --git a/docs/tutorials/06_grover.ipynb b/docs/tutorials/06_grover.ipynb index fe3209ff..dceb6294 100644 --- a/docs/tutorials/06_grover.ipynb +++ b/docs/tutorials/06_grover.ipynb @@ -63,9 +63,9 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ - "
" + "
" ] }, "execution_count": 1, @@ -182,28 +182,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Internally, the statevector is mapped to a quantum circuit:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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OxsPDg9/+9re8/PLLPPbYYyQlJWFh0eHeKqESZnl2uiENhRigd+/eJCUltWZJQjyQDnd4+aUQC6E2He5IfPd71UKYiw53JBbC3EiIhVA5CbEQKichNgN+E4cwLT8Rv4lD6uzv7NmVafmJRH04q3ULE61CQiyEykmIRZNZydcn25UO9ycm8ROvmEcJfOkZXPp6Y2FjRWluAbn7TpK29HP01TW4D+rL09ve41BcAlad7Ojz4lNovdzJWLudkqvXiFo9u97n3jVuMbrvT7Xi3nRcEuIO6lcLJhEWN57is1c5tT6J8mvFaL3c8Yp5lPT/+tJo7a6gGTHYOms5t+k7yq/foDSvkJsXcjkwe7Xxk2o09F/wHPbuzlQU3WrlPeq4JMQdkFs/P8LixpN/KIPvnl9mWHgP4Pgf/2Ey3qGnG9sfj6Oi0DiYJVeuGT3uv+h5HHq6cezdT7lx9mrLFC9MyGfiDsh3/OMAHF/2hVGA65OVuN8kwPfyf24YIbPGcGbjLpMF70XLkhB3IHcvHXf08UDR6yk+nd2o7W5m5TfY7/F4CIPen0HuvnRSFn3yoGWKJpIQm4GaijtL11rWc7dEq0532msrflriVlEUGrseRG15Zb19Xfx7MnTDXG5m5bFvxiqUWlkMr7VJiM3A3c+mTv496+zv4n9nlZLb/zfu1sU8LCwtcQnyfqDXtXN1ZPjf36G2qpq9U5ZTXVL3EsGiZUmIzUBhxkVKcq/jMyYS++7ORn0W1lYEvhSNotdzdfedVTfvLrL3yMLn7vtWMJa21jy5cT723ZxInvYBJTnXH2wnxH2Ts9NmQKnVc3T+BoZ+Mo/Y5FWc/yKZ25d12HV1wmf0Yzj36cXJ1Vu5lZUH3FnTOmPtdkJeH8uo3Su4tOMI5dduoO3VDa+Ygex8ZgFVt8oafM1+c5+lW/jDZCd9j9bHHa2P8brJeft/pKLgZovts/iJhNhM5Ow9wTejFxEyawx+Ewdj66ylpqySwn9fYt/MVWR//b3R+OPLNlF0Ops+L0YT8losWGgoyyskN/lEo24PY9/1zi1mvEcOwnvkIJP+XeMWo5MQt4oOt9pleyGrXYrmIp+JhVA5CbEQKichFkLlJMRCqJyEWAiVkxALoXISYiFUTkIshMpJiIVQOQmxEConIRZC5eQCiA5C6+PO46tfx9ZFS/XtMg7FJXDjXE5blyWagRyJO4jHVrzCuX/sYXvUHDIS/tXgcrNCXeRI3AHYuTriGtab3b/9AwCXdx5l4LLpaL3duZ2tq3c7G8dOxP7vn7G0s6EsrwALW2u0vbqTlbifI3M/brF6FUWhpoElgdorK3tbNBpN679uq7+iaHUOPd0o/0+x0fpXJbkFOPR0azDEVbfKuLj9INWlFfz450R6DAkjdM64Fg0wQE15pSov02yryy1lOi0a5BLsQ1HGJQBcQ3tT9O9LbVyRuJeEuAMozS3AvrszGsuf/rk793SjNLfgF7d16ettCK5rqC+FGRLi9kZC3AFUFN6iKOMSvcc/AYBXzEBK84sMU+moNa/TKzrCZLtO7i6gKJTpigBwCfSi+MyV1itcNIqEuIM4Er+OgCkjGHtoDSGvj+XQG38x9LmF+VKaV2iyjUuwj9H0uepWKX2mPtUq9YrGkxNbHcStrDy+GfU7k3ZbV0fK8osoPJll0pfz3XFyvjtueJwUvaBFaxT3R47EHVxl4S3Dn56EOkmIhVA5CbFQBb+JQ5iWn4jfxCF19nf27Mq0/ESiPpzVuoW1AxJiIVROQixEHaxUtNC9nJ0WZs0r5lECX3oGl77eWNhYUZpbQO6+k6Qt/Rx9dQ3ug/ry9Lb3OBSXgFUnO/q8+BRaL3cy1m6n5Oq1Bi8U2TVuMbrvT7Xi3tRNQizM1q8WTCIsbjzFZ69yan0S5deK0Xq54xXzKOn/9SVV1TWGsUEzYrB11nJu03eUX79BaV4hNy/kcmD2auMn1Wjov+A57N2dqSi61cp7VDcJsTBLbv38CIsbT/6hDL57fhm1ldWGvuN//IfJeIeebmx/PI6KQuNg3r338139Fz2PQ083jr37KTfOXm2Z4puoQ3wmLigoID4+Hj8/P+zs7HjooYeIi4ujtLSU6dOno9FoSEhIaOsyTYS8PpYh699m/NG/MC0/kd8c+2tbl6QavuMfB+D4si+MAlyfrMT9JgG+l/9zwwiZNYYzG3dxesPOZqmzOZj9kTg9PZ3o6Gh0Oh0ODg4EBQWRl5fHmjVryMrKoqjozveC+/Xr17aF1qH/O5OpKLpNUcZFbBw7tXU5qnD3Jp+OPh4oej3Fp7Mbtd3NrPwG+z0eD2HQ+zPI3ZdOyqJPHrTMZmXWIS4oKGDUqFHodDrefvttFi9ejFarBWDFihXMnz8fKysrNBoNoaGhbVytqcRHXzNM52L/909YO6jnjGlzq6m4c89kS3vbOvutOt1pr6346d7KiqLQ2Dv31jawCEEX/54M3TCXm1l57Juxyui67PbArKfTc+bMIScnh9mzZ7Ny5UpDgAHi4+MJCwujpqYGb29vHB0d27DSut37eawju/teOPn3rLO/i78nALf/b9yti3lYWFriEuT9QK9r5+rI8L+/Q21VNXunLKe6pPyBnq8lmG2IMzMz2bJlC25ubixfvrzOMf379wcgLCzM0HY39BEREdjats1yK8JUYcZFSnKv4zMmEvvuzkZ9FtZWBL4UjaLXc3V3GgAXtx0C4JGFz2FhfX8TTktba57cOB/7bk4kT/uAkpzrD7YTLcRsp9ObN29Gr9czefJkOnfuXOcYe3t7wDjEFy5cYOvWrQwYMAAbGxsOHz7cKvWKhim1eo7O38DQT+YRm7yK818kc/uyDruuTviMfgznPr04uXort7LyAChIv0DG2u2EvD6WUbtXcGnHEcqv3UDbqxteMQPZ+cwCqm6VNfia/eY+S7fwh8lO+h6tjztaH3ej/rz9P1JRcLPF9rmxzDbEycnJAAwdOrTeMTk5d5Zs/XmIn3jiCfLz75zkWLJkiYS4HcnZe4JvRi8iZNYY/CYOxtZZS01ZJYX/vsS+mavI/vp7o/HHl22i6HQ2fV6MJuS1WLDQUJZXSG7yCWrKq+p5lZ/Yd+0CgPfIQXiPHGTSv2vcYnQS4pZz+fJlALy8vOrsr6mpMQT05yG2sGj+Txjh4eHodMYL0lkrFizGdDUNcxXgH0C1pnEnhBp6bwpPZrFv5qpGv+6lfx3m0r/q/49Y9/0pNnr8ps6+Q2/8xWjxhF/SlH28l7u7O2lpafe1rdmGuLS0FIDy8rpPRGzZsoWCggK0Wi0+Pj4tWotOpyM3N9eozUZjCd1b9GXblbz8PKqU2kaNVet705R9bE5mG2J3d3eKi4s5ceIEgwYZT4Xy8/OZN28eAKGhoS1+8srd3d2kzVqxgPb1l4oW1cOjR5OOxGp8b5qyj/eq63ekscw2xMOHDyczM5MPPviAESNGEBAQAEBqaipTpkyhoODOSo+t8SWPuqZJ1WUVqlxb+X6dO3+u0Wsyq/W9aco+NiezDXF8fDxffPEFV69epW/fvvTp04eKigouXLhAdHQ03t7efPvtt0afh9sb3988QWfPrsCdv1daWFsR+sZ4AEpyrnMx8UBblifaCbMNsaenJwcPHmTevHns37+f7OxsgoKCWLduHTNmzKB3794A7TrEAZOG4f5YX6O2R+ZPAkB35JSEWABmHGKAwMBAkpKSTNpLSkrIzs7GwsKC4ODgNqiscXaNX9zWJQgVMOsQ1+fUqVMoikJAQACdOpleWJCYmAjA6dOnjR57e3sTHh7eeoUK0QgdMsQZGRlA/VPpCRMm1Pl46tSpbNy4sUVrE6KpJMR1aOyVL0KdvGIG4vF4CKmLNzL44zfp4u9JbUUVFQU3+X7BhgbvFNkeSYhFh9PrmUfJ+uc+AM7+fQ+5yT8A0OfFp4lc9arqzkV0yBDf/V61ME8N3Rz9+wUb6D7gYQ7FJaDU1BoCDHD9xHmCXx3dhpXfnw4ZYmHeGro5eo/BYVxLPYtSY/r1yKCXn+HKt6ltUPGDMdvriUXHVt/N0Xs9PYDL/3PMZHzInHFovd05vmxTq9bZHCTEwizVd3P0HkP6GU2hAfr+v9F4PfMo303+I7WNuESxvZEQC7NT383R3X7lz83zudSUVRjGBr0yEp+xkex+dukvLhLQXslnYmF26rs5emXRba7s+mkq3cnDhYgl07iVrePpxCUA1FbVsDNmYWuX/EAkxMLs1Hdz9Nh9f+bbn/35qCy/qN4FAdREQiw6jK+GvNnWJbQI+UwshMpJiIVQOQmxEConIRZC5TSKXLLTJhRFoaaB+/+YGyv7xt9NQ63vTVP2sTlJiIVQOZlOC6FyEmIhVE5CLITKSYiFUDkJsRAqJyEWQuUkxEKonIRYCJWTEAuhchJiIVROQiyEykmIhVA5CbEQKichFkLlJMRCqJyEWAiVkxALoXISYiFUTkIshMpJiIVQOQmxEConIRZC5STEQqichFgIlZMQC6Fy/x/XS3JMKV5oUAAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "problem.grover_operator.oracle.decompose().draw(output=\"mpl\")" + "Internally, the statevector is mapped to a quantum circuit using the [qiskit.circuit.library.grover_operator function](https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.grover_operator)." ] }, { @@ -218,7 +197,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "tags": [] }, @@ -243,7 +222,7 @@ "try:\n", " oracle = PhaseOracleGate(expression)\n", " problem = AmplificationProblem(oracle)\n", - " display(problem.grover_operator.oracle.decompose().draw(output=\"mpl\"))\n", + " display(problem.oracle.decompose().draw(output=\"mpl\"))\n", "except MissingOptionalLibraryError as ex:\n", " print(ex)" ] @@ -278,7 +257,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "tags": [] }, @@ -297,7 +276,7 @@ "
" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -324,12 +303,12 @@ "\n", "# state_preparation\n", "print(\"state preparation circuit:\")\n", - "problem.grover_operator.state_preparation.draw(output=\"mpl\")" + "problem.state_preparation.draw(output=\"mpl\")" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -356,10 +335,9 @@ "\n", "For more advanced use, it is also possible to specify the entire Grover operator by setting the `grover_operator` argument. This might be useful if you know more efficient implementation for $\\mathcal{Q}$ than the default construction via zero reflection, oracle and state preparation.\n", "\n", - "The `qiskit.circuit.library.GroverOperator` can be a good starting point and offers more options for an automated construction of the Grover operator. You can for instance\n", - "* set the `mcx_mode`\n", - "* ignore qubits in the zero reflection by setting `reflection_qubits`\n", - "* explicitly exchange the $\\mathcal{S_f}, \\mathcal{S_0}$ and $\\mathcal{A}$ operations using the `oracle`, `zero_reflection` and `state_preparation` arguments" + "The [`qiskit.circuit.library.grover_operator`](https://quantum.cloud.ibm.com/docs/en/api/qiskit/qiskit.circuit.library.grover_operator) can be a good starting point and offers more options for an automated construction of the Grover operator. You can for instance\n", + "* ignore qubits in the zero reflection by setting `reflection_qubits`,\n", + "* explicitly exchange the $\\mathcal{S_f}, \\mathcal{S_0}$ and $\\mathcal{A}$ operations using the `oracle`, `zero_reflection` and `state_preparation` arguments." ] }, { @@ -371,7 +349,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "tags": [] }, @@ -383,7 +361,7 @@ "
" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -403,7 +381,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { "tags": [ "nbsphinx-thumbnail" @@ -412,20 +390,20 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "
" ] }, - "execution_count": 9, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "from qiskit.circuit.library import GroverOperator\n", + "from qiskit.circuit.library import grover_operator\n", "\n", - "grover_op = GroverOperator(oracle, insert_barriers=True)\n", + "grover_op = grover_operator(oracle, insert_barriers=True)\n", "grover_op.decompose().draw(output=\"mpl\")" ] }, @@ -438,23 +416,23 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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qgwcPKjExUc2bN9eKFSu0c+dPb4pVbfvUqVMaNGiQUlNT9cgjj+jIkSNKT0/Xnj17tHv3bnXp0kXJycl644033Pb3c5ftsz9VaWFxldc/sPJbndyRUYsReYbWrVtr3rx5at26tdGhwCDemgPb9/ygme99p1vjWmnMnZ3k42PR4uk3yGKRRj+/UXa7w+gQUcM++iJD36WfqvL632ed1d//uacWIzIWxwAu8tZ+wOxMW3ytWLFCvr6+WrBggZo3b15mWUREhMaPHy+LxSJJ2rt3rwoLC9WmTRuFhob+apv33HOPrr76aud2F/Xo0UMDBgyQJKWmppZZVpW24+PjlZGRofj4eC1cuFBhYWHOZR06dNC8efMkSStXrqzKS68z8rNOKGtNksvbpX34VS1E41lsNpvy8/Nls9mMDsXtCm02nSwurvDHm3hzDry0YLt2pP2gV5/tpXkTr1XvrmGaPG+b9h407+Vm3srhcOitT10vpOYvS9P58/ZaiMgzcAxA8u5+wMznAqYsvkpLS1VSUiKbzaavv/660vV37NghSerevfsl1ysuLtbSpUv15JNP6vbbb9cNN9ygvn37qm/fvvriiy8kSf7+/i61nZqaqk8++UTh4eGaOXNmhetc3PbIkSNlHj9w4ICGDBmi+vXrq1GjRho1apR++OGHS74GT3Lwi/8nRzU+wTvw+bdy2M3b6UrSvn37dPPNN2vfvvI3XJvdtPRUtfy/zyv88SbenAOlpQ6Nfn6jAgN89cQ9XbQp+Zje/Mcuo8NCLdi9/7R27nP9/qXs44X6ZvuxWojIM3AMQPLufsDM5wKmnO3QarVq2LBhWrp0qQYPHqybb75ZI0aM0JAhQxQREVFu/aoUX+vWrdODDz6ozMzMSz53u3btXGp7yZIlstvtstlsztGzX7o4kUdISIjzsbNnz+qmm25S48aNtWTJEhUVFWn8+PEaPHiwvv32W+eljq7o0aOHjh1zX2d2i721blBLl7eznStR1BVtVWypW58EjRgxosrrHj9+XJK0evVqbdu2rcrbDR8+3OW4LleQj492d7+2xtp7pHU73dnyigqXDdq84bLb79ixo4oMKN5d2f9S9XLAiP1vl5/U+Pkabzcvv0TFJTb5+/nqP5sy5ajBK606dOwoH52vuQZRbcXWSKnBg9Xa9s7fPaTgEs8oSGrjOOAYMCfOBarG088FwsPDlZTk+tVbkkmLL0lavHixoqOj9e677yohIUEJCQkaO3as+vXrpxkzZqhPnz7OdSsrkLZs2aLbbrtN58+f18MPP6yRI0fqyiuvVKNGjWS1WpWWlqYuXbrIarWqS5cuZbatrO2EhARJFyYIOXHixCVfU2RkpPP/CxYs0JEjR7Rx40bntcCtWrXSddddp1WrVmnYsGGXbKsix44dKze6Vpvy6oVK9VwvviQpK/uISlS3iq+CgoIqr1tUVOT815Xt3Ln/Lgr29ZW611x7UfXq6TfNmle+YjVlZ2er0IBLOFzZj1L1csCI/S+Lv9S45pv9YNr18vfz1e79uXr+0e767KsD+j7rbI20fTQ7W3Iwc6pHCA6WGlRv09wfTij3jAE5X5FaOA44BsyJc4GqMeu5gGTi4iswMFBTpkzRiy++qB07dujzzz/X/PnztX79eg0YMEBpaWnOUbDKCqSJEyeqpKREs2bN0oQJE8ot//LLLyVJ0dHRCggIKLOssrazsrIkXZjGvk2bNlV+fV988YX69u1b5ibMa6+9Vu3atdO///3vahVf4eHhLm9zOUrsflI1Psk7oxI1axkuWSpf15P8fOSyMhffZIOCglzarqKR3doWVMe+ALtly5aGjHy5sh+l6uWAEfvfLj8dreE2/3hftG7q1VKT/pqkz9cfUvKnw/T+tOvV76H/1Ej7LVq25FN/D2Gz+OqYwyFZXHhD/3H9sFCH/Oq7P+crUtPHAceAeXEu4Bku91zgcs6ZTVt8XWSxWBQbG6vY2Fg99dRTuuqqq5SZmamtW7dq+PDhysnJUU5OjkJDQ8uMLF1ks9m0ceNGSdKDD5a/NMJut+vjjz+WVP5LlCtrW/rpwDp3zrVpc3fv3q277rqr3OMxMTHavXu3S21dVN3h0+o6X3hOn8U+qvNnXJtC/4bn7te4Z1fVUlS1JzExscrrpqWlacmSJRo0aJA6d674SwYr8uabb1YjssvjOHdOpXePdvvzVtfevXtl+fHrH9zJlf0vVS8HjNj/BYXnVa/P4hprL6p1A82M76GtO0/olfdTZLc7NOXtZM2M76k/3heteZ9U7/3t5/bt3auQYL8aiBY1Ycgf1+jfGw5XfQOLRb27NtPmj5NrLygX1eRxwDFgbpwLeAajzgUkk0648WtCQ0OdE2JcnFEwPT1d0oVrPytSUFDgnGWmogLptdde0/bt2yWVL74qa1uSc+Rq7dq1VX4dkpSbm1vh7ImNGzfWqVNVn7LXSH7BgYq6+yaXtrFYfdVxZP9aishzREVF6auvvlJUVJTRocAg3pgDFov04Us3yNfHotHPb3BOqT37g51K3HVCM+N7qF2r+gZHiZr2xD1dKl+pBrapCzgG8HPe2A94A9MVX4sWLdKECRPKjf7k5ubqscce0/79+9W5c2fnPV8Xh3GzsrIqvJ62QYMGzuHb6dOnOwuxkpISzZkzRy+88IKs1gsDiL8sviprW/rpxsuJEydq2bJl5ZZnZGRo6tSpVZq1sS6K/dPdatSl6t9f0WfGIwoOr4UbTDyM1Wp13lMI7+SNOfDs6K6Ki22uv7yVrLQDP02pbbc79MALG2X19dH7066/RAuoi26Ni9CjIzpVef3f/iZS9w8258koxwB+zhv7AW9guuJrw4YNmj17tmJiYhQWFqaePXsqJiZGLVu21IIFC9SqVSstX75cvr6+ki5cpte6dWtlZ2erdevWuvbaa9W3b1+98847zjYnT54s6cIkFxEREerZs6fCwsI0efJkzZs3Tw6HQxaLpdx9XVVp+5lnntH111+vs2fP6q677lKTJk10zTXXKDY2Vk2bNlWHDh00ZcqUcveDNWrUSKdPny73+k+dOqXGjetOceLfIES3fPoXNenW/pLrWXws6jNrjDr9vuIZIc0mKytLzz77rPOeQHgfb8uBzm0b6qWxV+v/fXdcry0qP4Pd7v2nNeXtZN3Yo4X+eF+0ARGitlgsFr01+boqjWb9bmA7fTzrRvn41LGbfquAYwC/5G39gLcwXSn96KOPKjw8XBs3btTBgweVkpIif39/xcTEaOjQoRo3bpwaNmzoXD8wMFCrV6/WpEmTtHnzZm3ZskUOh0N/+MMfnOs8/vjjslqtmjNnjg4ePChfX18NHjxYEyZMcE4T3759ezVoUHbKpqq0HRQUpHXr1untt9/WkiVLtHv3bu3cuVNNmzZVZGSk7r//fg0ePFht27Yt03aXLl0qvLdr9+7duuGGG2rqz+kWQc1Cdfu/p+vwf7cq7cOvdOx/Zb+oOuYPd6jT729Rg3YtDIrQ/fLz87Vp0yaNGTPG6FDc5samYSq54+5LrlPZcjPxthxIO5CnoJ6LLrnOrPdSNOu9FDdFBHfy9fXR3yZdq1F3ROmtT/fo068OqLjkp5nI7rqlrR6/u7P69WwhiyuTc9QhHAP4JW/rByTvOBcwXfHVp0+fMtPIV0V0dLRWrlx5yXXGjBnzq8nvuMSXb1SlbT8/P40bN07jxo2rLFSnwYMHa9KkScrKylKrVq0kXZgSf//+/ZozZ06V2/EUPn5WRd5xnSLvuE7nTp3VP6988MJMiBap54t15wZOAED1WCwW9b4qTL2vCtNbk69T+9s/U84P59SiaZA+e/Vmo8MDgBphussOvcWjjz6qFi1aaOjQofriiy+0bNky3XvvverVq5eGDh1qdHiXJbBxfecnm2b9hBMA8OtCgv1k9b1wimLGSwwBeC+KrzqqQYMGSkhIUIsWLfS73/1OjzzyiK677jp98cUX8qlj37UAAAAAeAPTXXboTdq3b68vvvjC6DBQC5o1a6b4+Hg1a9bM6FBgEHIAALwb/YA5UXwBHqhJkyYaOXKk0WHAQOQAAHg3+gFz4vo0wAOdOXNGa9eu1ZkzZ4wOBQYhBwDAu9EPmBPFF+CBsrOzNWnSJGVnZxsdCgxCDgCAd6MfMCeKLwAAAABwA4ovAAAAAHADii8AAAAAcAOKL8ADBQQEqFOnTgoICDA6FBiEHAAA70Y/YE5MNQ94oLZt2+qjjz4yOgwYiBwAAO9GP2BOjHwBAAAAgBtQfAEeKD09XXFxcUpPTzc6FBiEHAAA70Y/YE4UX4AHcjgcOn/+vBwOh9GhwCDkAAB4N/oBc+KeLwCXJyBA1s8WGR1F1XHjco0KDrIqf/Moo8NwSXAQXR9qVl07DjgGUOM4F6gyjj4Al8VisUiBgUaHAYNYLBaFBPsZHQZgKI4DeDvOBaqOyw4BAAAAwA0Y+QI8UGRkpJYsWaKIiAijQ4FByAEA8G70A+ZE8QV4oMDAQLVv397oMGAgcgAAvBv9gDlx2SHggY4ePaqXX35ZR48eNToUGIQcAADvRj9gThRfgAfKy8vTqlWrlJeXZ3QoMAg5AADejX7AnCi+AAAAAMANKL4AAAAAwA0ovgAAAADADSi+AA/k4+Oj2NhY+fhwiHorcgAAvBv9gDmxNwEPZLfbtX37dtntdqNDgUHIAQDwbvQD5kTxBQAAAABuQPEFAAAAAG5A8QUAAAAAbkDxBXig+vXra+DAgapfv77RocAg5AAAeDf6AXOyGh0AgPIiIiI0bdo0o8OAgcgBAPBu9APmxMgX4IGKi4uVmZmp4uJio0OBQcgBAPBu9APmRPEFeKADBw7ozjvv1IEDB4wOBQYhBwDAu9EPmBOXHQK4LA6HQ6pLn8oFBMhisRgdhWk4HA4VFpUaHYZLgoOs5ABqVF07DjgGUNM4F6g6ii8Al6e4WKV3jzY6iiqzfrZICgw0OgzTKCwqVb0+i40OwyX5m0cpJNjP6DBgInXtOOAYQI3jXKDKuOwQAAAAANyA4gsAAAAA3IDLDgEP1LlzZ23dutXoMGAgcgAAvBv9gDkx8gUAAAAAbkDxBXigQ4cO6aGHHtKhQ4eMDgUGIQcAwLvRD5gTxRfggYqKirRr1y4VFRUZHQoMQg4AgHejHzAnii8AAAAAcAOKLwAAAABwA4ovAAAAAHADii/AA7Vo0UJTp05VixYtjA4FBiEHAMC70Q+YE9/zBXighg0batCgQUaHAQORAwDg3egHzImRr5959dVXNWXKFOXl5dWptmE+ubm5Wrp0qXJzc40OBQYhBwDAu9EPmBPF14/y8vI0fvx4zZ49W/Xq1aszbcOccnJyNGfOHOXk5BgdCgxCDgCAd6MfMCeKrx8lJyfL4XCoa9eu8vX1rTNtm5G91CaHwyFJzn8BAN7D4XDIbqcfAGA+FF8/Sk5OliTFxsbWqbbNwuFw6Og3O7X+kVf1UeS90sW+1iGl/HWFik5yuabZbTh5XP7//kyv70/71XX8//2Zhm3Z5Mao4E7Tx10jR8rDenBYhwqXr3/vNp1LekAxUY3cHBncZd+hPD0zZ7Ma9/2Hjp688MWyR08W6fGXvtXOvacMjq72cQzA23nDuYCpi6/i4mLNnTtXffv2VaNGjeTv76/w8HD16tVL48ePV3Z2tpYvXy6LxaLnnntOkjR//nxZLBbnz4wZM5ztHTx4UHPmzNHAgQPVvn17hYSEKDg4WN26ddOsWbNUUlJS5vldaVuSSkpKtHDhQvXv319NmjRRQECAoqKi9Oc//1n5+fm1/NcyTsmZAq353Uv66q6pOvTlZjls9jLLk2d+omU9/qADq/5nUIQA3GHKW9u1c98pvf5cb0U0Dy6z7Kn7Y9SvZwu9+FayUjO4/8FsHA6HpryVrI53LNMbH6Xq9NmSny2T3lmapqtG/EtPzvifbL/oI8yEYwAwP9POdnjixAn1799fKSkpslqtatu2raKionTkyBElJSUpMTFRY8aMUUFBgeLi4rRt2zadO3dOsbGxCg7+6Q3vuuuuc/7/pZde0vvvv6+QkBC1bNlSMTExOn78uFJSUpSSkqLExEQtX77cub4rbWdkZGjYsGFKTU2V1WpVu3btFBYWpoyMDL3yyitas2aNNm3aVGZ7MygtKtaakdN1ImnvJdezFZ/XhsdelyS1HXLdJdc1g+DgYPXu3dt0+xtV5405cL7UrtHPb9SWfwzRe1Ou18DHv5IkdYxsqOl/7KHNKcc158OdBkeJ2jDpr0ma9V5Kpev9/Z97VFRs07tT+spisbghMvfiGMDPeWM/4A1MO/L17LPPKiUlRffdd5+ysrK0d+9eJSYmKjs7W5mZmXrllVcUFRWlUaNGaePGjfLxufCnSEhI0DfffOP86devn7PNW265Rdu2bdPZs2e1d+9ebd26VQcPHlRiYqKaN2+uFStWaOfOn94Uq9r2qVOnNGjQIKWmpuqRRx7RkSNHlJ6erj179mj37t3q0qWLkpOT9cYbb7jt7+cu372xrNLC6+e+GTdP57zgEsTWrVtr3rx5at26tdGhwCDemgPb9/ygme99p1vjWmnMnZ3k42PR4uk3yGKRRj+/0XkfEMxjQ9LRKhVeF73/r71atuZg7QVkMI4BXOSt/YDZmbb4WrFihXx9fbVgwQI1b968zLKIiAiNHz/e+anZ3r17VVhYqDZt2ig0NPRX27znnnt09dVXl/u0rUePHhowYIAkKTU1tcyyqrQdHx+vjIwMxcfHa+HChQoLC3Mu69Chg+bNmydJWrlyZVVeep1Req5Eez9e59I2tuLz2vfPhFqKyHPYbDbl5+fLZrMZHYrbFdpsOllcXOGPN/HmHHhpwXbtSPtBrz7bS/MmXqveXcM0ed427T1o/g9evNHf/7nH5W3e+tT1beoSjgFI3t0PmPlcwJSXHZaWlqqkpEQ2m01ff/21br/99kuuv2PHDklS9+7dL7lecXGxVq1apQ0bNujAgQM6e/as7PYL155fLLr8/f1dajs1NVWffPKJwsPDNXPmzArXubjtkSNHnI9lZWVp1qxZ2rp1q7777juVlJTUuRmhDq/equJTZ1zeLn3xGnV9cngtROQ59u3bp1GjRmnx4sXq3Lmz0eG41bT0VE1LT618RZPz5hwoLXVo9PMblbhkiJ64p4s2JR/Tm//YZXRYqAU5PxTpX+sOurzd14lHlXbgtDq3Da3xmDwBxwAk7+4HzHwuYMriy2q1atiwYVq6dKkGDx6sm2++WSNGjNCQIUMUERFRbv2qFF/r1q3Tgw8+qMzMzEs+d7t27Vxqe8mSJbLb7bLZbM7Rs1+6OJFHSEiI87GMjAwtX75cPXv2lL+/v7799ttLxlUVPXr00LFjxy67narqb2+lfmrl8nb5mccVGXGFSi11q9gcMWJEldc9fvy4JGn16tXatm1blbcbPtz9RWmQj492d7+2xtp7pHU73dnyigqXDdq84bLb79ixo4rs7r9h35X9L1UvB4zY/3b5SY2fr/F28/JLVFxik7+fr/6zKVM1+dlSh44d5aPzNdcgqq3Y2lqlDR6u1rZxN49Q0PlfnxHNnWrjOOAYMCfOBarG088FwsPDlZSUVK1tTVl8SdLixYsVHR2td999VwkJCUpISNDYsWPVr18/zZgxQ3369HGuW1mBtGXLFt122206f/68Hn74YY0cOVJXXnmlGjVqJKvVqrS0NHXp0kVWq1VdunQps21lbSckXLiE7sSJEzpx4sQlX1NkZKTz/zfccIOOHj0qSZoyZUqNFF/Hjh0rM7pW24rqN5ZCKl+vIseP5qjIUbc6joKCgiqvW1RU5PzXle3cuf8uCvb1lbrXXHtR9erpN82aV75iNWVnZ6vQgEs4XNmPUvVywIj9L4u/1Ljmm/1g2vXy9/PV7v25ev7R7vrsqwP6PutsjbR9NDtbcpRUviJqX0h9qUH1Nj2Ve1bKMyDnK1ILxwHHgDlxLlA1Zj0XkExcfAUGBmrKlCl68cUXtWPHDn3++eeaP3++1q9frwEDBigtLc05ClZZgTRx4kSVlJRo1qxZmjBhQrnlX375pSQpOjpaAQEBZZZV1nZWVpakC9PYt2nTpsqv7+IkHjUpPDy8xtu8FB974E/f5+WCUtnVpEWYHHVsoqufj1xW5uKbbFBQkEvbVTSyW9uCaiEXa1PLli0NGflyZT9K1csBI/a/XX46WsNt/vG+aN3Uq6Um/TVJn68/pORPh+n9ader30P/qZH2W7Rsyaf+HuK8b7COSxfmk3dx9sImoQEKrOf+nK9ITR8HHAPmxbmAZ7jcc4HLOWc2bfF1kcViUWxsrGJjY/XUU0/pqquuUmZmprZu3arhw4crJydHOTk5Cg0NLTOydJHNZtPGjRslSQ8++GC55Xa7XR9//LGk8l+iXFnb0k8H1rlz5y7jVdaM6g6fVteZ749qRdwfXd4uamhfZb6zohYiql2JiYlVXjctLU1LlizRoEGDXLrO+80336xGZJfHce6cSu8e7fbnra69e/fKEhjo9ud1Zf9L1csBI/Z/QeF51euzuMbai2rdQDPje2jrzhN65f0U2e0OTXk7WTPje+qP90Vr3ie7L/s59u3dq5BgvxqIFpfLbneo89Bl2nfItft/mzUKVGbSegX4+9ZSZK6pyeOAY8DcOBfwDEadC0gmnu2wIqGhoc4JMS7OKJieni7pwrWfFSkoKHDOMlNRgfTaa69p+/btksoXX5W1Lck5fejatWur/DrMokG7FmrZr7vL23UePbDmg/EwUVFR+uqrrxQVFWV0KDCIN+aAxSJ9+NIN8vWxaPTzG5xTas/+YKcSd53QzPgeateqvsFRoib5+Fj0xN1dKl/xFx75bSePKbxqEscAfs4b+wFvYLria9GiRZowYYJ27y77yVBubq4ee+wx7d+/X507d3be83VxGDcrK6vC62kbNGjgHL6dPn26sxArKSnRnDlz9MILL8hqvTCA+Mviq7K2pZ9uvJw4caKWLVtWbnlGRoamTp2qr7/+ukqvv67p/tzd8vGv+gBsxM2xat7H9Y66rrFarc57CuGdvDEHnh3dVXGxzfWXt5KVduCnKbXtdoceeGGjrL4+en/a9QZGiNrw4LCO6tCm6jd+tWgWrD/eF12LERmHYwA/5439gDcwXfG1YcMGzZ49WzExMQoLC1PPnj0VExOjli1basGCBWrVqpWWL18uX98Ln5jFxMSodevWys7OVuvWrXXttdeqb9++euedd5xtTp48WZK0YMECRUREqGfPngoLC9PkyZM1b948ORwOWSyWcvd1VaXtZ555Rtdff73Onj2ru+66S02aNNE111yj2NhYNW3aVB06dNCUKVNcuh+sLgm7pqNufPvpKhVgYb06q9/8Z8p9z5oZZWVl6dlnn3XeEwjv42050LltQ7009mr9v++O67VF5afU3r3/tKa8nawbe7Qw7Ym3t2pY31+r37pVkS3rVbpuWONArX7rFrVoFuyGyNyLYwC/5G39gLcwXfH16KOPauLEiYqLi5O/v79SUlJ0+PBhxcTEaNq0adq1a5eio3960woMDNTq1as1dOhQ+fn5acuWLfr2229Vr95PncDjjz+uBQsWqEOHDjp16pSys7M1ePBgbdu2Tb169ZLNZlO7du3UoEHZT+6q0nZQUJDWrVunuXPnqk+fPiotLdXOnTuVk5OjyMhIxcfHa82aNWrbtm3t//EM0ua23hq4Ypoibupe4fLApg3V7ekRuuXTv8ivXpB7gzNIfn6+Nm3apPz8fKNDcZsbm4ap5I679Uz7X7+uveSOu7Wyt3d86uttOZB2IE9BPRfput//23mp1S/Nei9Flqveq5F7XuBZ2l/RQP/vH3fo0RGdFBxY/sM4fz8f/X5wlDb/Y4i6dWpiQIS1j2MAv+Rt/YDkHecCphvH7NOnT5lp5KsiOjpaK1euvOQ6Y8aM0ZgxYypcdqkvN65K235+fho3bpzGjRtXWaimFXZNRw345HmdOXhMh/+zRUkvfXRhgUW6a9s78vXnxmAAMLPwpsGa/5e+mv10L3321fd69tUtOltYqob1/JTx5d1q2siYm+MBoCaZbuTLmyxbtkzLli1z3t928Xd3z1pYkxpEhuvKJ4bK4nPh0kKLxULhBQBepGF9f40Z0VkN6l2YIKtesB+FFwDTMN3Ilze56667Kvx99OjR+vDDDw2ICAAAAMCvofiqwy51uSPqtmbNmik+Pl7NmjUzOhQYhBwAAO9GP2BOFF+AB2rSpIlGjhxpdBgwEDkAAN6NfsCcuOcL8EBnzpzR2rVrdebMGaNDgUHIAQDwbvQD5kTxBXig7OxsTZo0SdnZ2UaHAoOQAwDg3egHzIniCwAAAADcgOILAAAAANyA4gsAAAAA3IDiC/BAAQEB6tSpkwICAowOBQYhBwDAu9EPmBNTzQMeqG3btvroo4+MDgMGIgcAwLvRD5gTI18AAAAA4AYUX4AHSk9PV1xcnNLT040OBQYhBwDAu9EPmBPFF+CBHA6Hzp8/L4fDYXQoMAg5AADejX7AnLjnC8DlCQiQ9bNFRkdRddy4XKOCg6zK3zzK6DBcEhxE14eaVdeOA44B1DjOBaqMow/AZbFYLFJgoNFhwCAWi0UhwX5GhwEYiuMA3o5zgarjskMAAAAAcANGvgAPFBkZqSVLligiIsLoUGAQcgAAvBv9gDlRfAEeKDAwUO3btzc6DBiIHAAA70Y/YE5cdgh4oKNHj+rll1/W0aNHjQ4FBiEHAMC70Q+YE8UX4IHy8vK0atUq5eXlGR0KDEIOAIB3ox8wJ4ovAAAAAHADii8AAAAAcAOKLwAAAABwA4ovwAP5+PgoNjZWPj4cot6KHAAA70Y/YE7sTcAD2e12bd++XXa73ehQYBByAAC8G/2AOVF8AQAAAIAbUHwBAAAAgBtQfAEAAACAG1B8AR6ofv36GjhwoOrXr290KDAIOQAA3o1+wJysRgcAoLyIiAhNmzbN6DBgIHIAALwb/YA5MfIFeKDi4mJlZmaquLjY6FBgEHIAALwb/YA5UXwBHujAgQO68847deDAAaNDgUHIAQDwbvQD5kTxBQAAAABuwD1fAC6Lw+GQ6tIlEQEBslgsRkdhGg6HQ4VFpUaH4ZLgIGuN5kCdOwYkjoMaVudyoIb3P+8D8PZjwBUUXwAuT3GxSu8ebXQUVWb9bJEUGGh0GKZRWFSqen0WGx2GS/I3j1JIsF/NNVjHjgGJ46DG1bEcqOn9z/sAvP0YcAWXHQIAAACAGzDyBXigzp07a+vWrUaHAQORAwDg3egHzImRLwAAAABwA4ovwAMdOnRIDz30kA4dOmR0KDAIOQAA3o1+wJy47BDwQEVFRdq1a5eKioqMDgUGIQfgjc6ftyt1f652ZeQqv/C8JKmgqFSJu06oa4dGCgzgtAXeg37AnHgXAwAAhskvPK+Pv9yvDz/fq+Q9P6jkvL3M8tNnS9TrvlWyWi26qkNj3T84Sg8M7aBGDQIMihgAqo/iCwAAuF1+4XlNeStZC5an62zB+UrXLy11KHnPD0re84Mmz0vS6Ds6aPq4HmrckCIMQN3BPV8AAMCt1m/N1lV3/kuvLd5VpcLrl4rO2fTO0jTFDF+uVeu5HwZA3UHxBXigFi1aaOrUqWrRooXRocAg5ADMyOFwaMbCHbr5kdU6cOTsZbd37GSRhsav1TNzNstud9RAhIDnoB8wJy47BDxQw4YNNWjQIKPDgIHIAZjRi28l66X5O2q83Tc+SlXhOZvefv46WSyWGm8fMAL9gDkx8gV4oNzcXC1dulS5ublGhwKDkAMwm3c+21MrhddF85em1Wr7gLvRD5gTxdfPvPrqq5oyZYry8vLqVNswn5ycHM2ZM0c5OTlGhwKDkAMwk32H8vTMq1tc2iZxyRBlrvmdEpcMqfI20+ZvV1LqCVfDAzwS/YA5UXz9KC8vT+PHj9fs2bNVr169OtM2AACezG536KG/bFLROZtL24U3DVar5iEKbxpc5W1sNoceeH6jiktcey4AcBeKrx8lJyfL4XCoa9eu8vX1rTNtm4ndZlPm2m365um/y/HjjdMOu0MF2T8YHBncYcPJ4/L/92d6fX/ar67j/+/PNGzLJjdGBXeaPu4aOVIe1oPDOlS4fP17t+lc0gOKiWrk5sjcw6zHwMqEQ/pmu/s+uU/df1ofrNzrtuerKWbd/67w9vcAeMdxQPH1o+TkZElSbGxsnWrbLL5fsUkrrvuj1v1+pjL+ub7MsmW9Htf6R15V0Uku2QTMbMpb27Vz3ym9/lxvRTQvO9rx1P0x6tezhV58K1mpGdz/UJe89eketz/n25+lyeFg9sO6hvcAeANTF1/FxcWaO3eu+vbtq0aNGsnf31/h4eHq1auXxo8fr+zsbC1fvlwWi0XPPfecJGn+/PmyWCzOnxkzZjjbO3jwoObMmaOBAweqffv2CgkJUXBwsLp166ZZs2appKSkzPO70rYklZSUaOHCherfv7+aNGmigIAARUVF6c9//rPy8/Nr+a9lnF1vf66NY+cq//DxCpc7bHYd+nKz/jN4kteMggUHB6t3794KDq765TYwF2/MgfOldo1+fqNCgvz03pTrnY93jGyo6X/soc0pxzXnw50GRghXpR84rXVbst3+vCl7T+lbN462oWbwHlCWN/YD3sC0U82fOHFC/fv3V0pKiqxWq9q2bauoqCgdOXJESUlJSkxM1JgxY1RQUKC4uDht27ZN586dU2xsbJkkv+6665z/f+mll/T+++8rJCRELVu2VExMjI4fP66UlBSlpKQoMTFRy5cvd67vStsZGRkaNmyYUlNTZbVa1a5dO4WFhSkjI0OvvPKK1qxZo02bNpnuADz8361KmvZRldY9eyhHa0fN1B3/fUU+VnNfvtm6dWvNmzfP6DBgIG/Nge17ftDM977TX/4QqzF3dtJ7/9qrxdNvkMUijX5+I9/lVMd8uSnT0Ofue3W4Yc+P6uE94Cfe2g+YnWmLr2effVYpKSm677779Prrr6t58+bOZUeOHNHHH3+sqKgodejQQffff7/q168vSUpISFBoaGiFbd5yyy0aO3asYmNjy3yPSFJSkgYPHqwVK1Zo586d6tq1qyRp1KhRVWr71KlTGjRokDIyMvTII49o+vTpCgsLkyTt27dPQ4cOVXJyst544w1Nnjy5Jv48HiNl7gqX1s9NPaistdvUemCvWorIM9hsNhUVFSkoKMjr7hMstNl0srjY6DAM58058NKC7RrSr7VefbaXunduot5dw/TMnC3ae9A7Lj020zGwbbdxVyts233SsOe+HGba/9Xl7e8BF3lzP2Dm48C0xdeKFSvk6+urBQsWKCQkpMyyiIgIjR8/3vn73r17VVhYqDZt2vxq4SVJ99xzT4WP9+jRQwMGDNA//vEPpaamOouvqrYdHx+vjIwMxcfH68033yyzrEOHDpo3b5769++vlStXmqr4OrkjQyd3ZLi8XdqHX5m++Nq3b59GjRqlxYsXq3PnzkaH41bT0lM1LT3V6DAM5805UFrq0OjnNypxyRA9cU8XbUo+pjf/scvosNzGTMdA8h7jCqBtu3+Qw+Goc1+6bKb9X13e/h5wkTf3A2Y+DkxZfJWWlqqkpEQ2m01ff/21br/99kuuv2PHDklS9+7dL7lecXGxVq1apQ0bNujAgQM6e/as7Ha7JCk19UKC+Pv7u9R2amqqPvnkE4WHh2vmzJkVrnNx2yNHjjgfW7ZsmZYsWaKkpCSdOHFCrVu31p133qmJEyfWmensj6zfUa3tsjd8J3upzfSXHnqrR1q3050tr6hw2aDNG9wcDYySl1+i4hKb/P189Z9NmfKmuRPMdAwcPlpg2HOfyitWYVGpQoL9DIuhOsy0/y+HN78HwNzHgSmLL6vVqmHDhmnp0qUaPHiwbr75Zo0YMUJDhgxRREREufWrUnytW7dODz74oDIzL339ert27Vxqe8mSJbLb7bLZbBowYECF61ycyOPnI3ivvvqqWrdurRkzZqhVq1basWOHpk6dqg0bNmjjxo3y8XF9LpUePXro2LFjLm9XXbfaW+t6tazWth3btNM5S936HpcRI0ZUed3jxy9MPrJ69Wpt27atytsNHz7c5bguV5CPj3Z3v7bG2ouqV0+/ada88hWrqWPHjir68UMTd3Jl/0vVywEj9r9dflLj52u83Q+mXS9/P1/t3p+r5x/trs++OqDvs87WSNsdOnaUj87XSFtS3TsGJPcdB4WN/iJZKv6gLHHJkEt+h1d40yDnv5lrfver6x07Waie966qcFlUp2j5OopciLh6ajIH6uL+r433gdp8D5Bq/n2gqjgXqBpPPxcIDw9XUlJStbY1ZfElSYsXL1Z0dLTeffddJSQkKCEhQWPHjlW/fv00Y8YM9enTx7luZQXSli1bdNttt+n8+fN6+OGHNXLkSF155ZVq1KiRrFar0tLS1KVLF1mtVnXp0qXMtpW1nZCQIOnCBCEnTpy45GuKjIx0/v/f//63mjVr5vz9xhtvVLNmzTRy5Eh98803uuGGGy7ZVkWOHTtWZnSttp2q10CqV73i62B2pmyqWx+DFRRU/RPgoqIi57+ubOfO/XdRsK+v1N3tT1tt2dnZKrS5v3B3ZT9K1csBI/a/LP5S45pt8o/3ReumXi016a9J+nz9ISV/OkzvT7te/R76T420fzQ7W3KUVL5iFdW1Y0By43EQavvV4uvilyhXxurrU6X1KnIsO1Oy1/59I3UtB2p8/9fw+0BtvwdINf8+UFWcC3gGo84FJBMXX4GBgZoyZYpefPFF7dixQ59//rnmz5+v9evXa8CAAUpLS3OOglVWIE2cOFElJSWaNWuWJkyYUG75l19+KUmKjo5WQEBAmWWVtZ2VlSXpwjT2bdq0qfLr+3nhdVGPHj0kVf+gCw9376xQeQ4fqRofOhxVgcIjqle0GemX9x5eysU32aCgIJe2q2hkt7YFVWOU1UgtW7Y0ZOTLlf0oVS8HjNj/dvnpaA22F9W6gWbG99DWnSf0yvspstsdmvJ2smbG99Qf74vWvE92X/ZztGjZssZHvuoadx0HxxyFssm/4mUnCy+5bXjTIFl9fVRqs+vYyV8fvfq1diyOErVo0UwWN3xQV9dyoKb3f02+D7jjPUCq+feBquJcwDNc7jFwOefMpi2+LrJYLIqNjVVsbKyeeuopXXXVVcrMzNTWrVs1fPhw5eTkKCcnR6GhoWVGli6y2WzauHGjJOnBBx8st9xut+vjjz+WVP5LlCtrW/rpwDp37txlvMoL1q+/8OXEvxx9q6rqDp9Wl91m04pr/6j8zIq/3+vX/Hb2M5r4+4ov0fRkiYmJVV63tLRUDzzwgOrXry+rteqH6S8nbHEHx7lzKr17tNuft7r27t0rS2Cg25/Xlf0vVS8HjNj/BYXnVa/P4hppy2KRPnzpBvn6WDT6+Q3OKaVnf7BTv/1NpGbG99CXGzMv+9KjfXv31uh9QHXtGJDcdxwMi1+jz9cfrnDZr10qeFHmmt+pVfMQHTtZpCsG/NPl5742tpW+Xeyeqe7rWg7U9P6vqfcBd70HSDX/PlBVnAt4BqPOBSSTf8nyL4WGhjonxLg4lXt6erqkC9d+VqSgoEC2H4clKyqQXnvtNW3fvl1S+eKrsralC9/hIElr166t8uuoyJEjR/TCCy9o4MCBlU4c4il8fH3V5eFBLm0T0Li+2v22by1F5DmsVqvzslZ4J2/MgWdHd1VcbHP95a1kpR34aUppu92hB17YKKuvj96fdv0lWoCnuSa6qVc+N6qH94CyvLEf8AamK74WLVqkCRMmaPfussPSubm5euyxx7R//3517tzZec/XxWHcrKysCq+nbdCggXP4dvr06c5CrKSkRHPmzNELL7zgPCh+WXxV1rb0042XEydO1LJly8otz8jI0NSpU/X111//6mvOz8/X0KFD5e/vr/fff/9X1/NE0WNuV+TQ6ypfUZJvoL9+8+EE+YUE1XJUxsvKytKzzz7rvCwV3sfbcqBz24Z6aezV+n/fHddri8pPKb17/2lNeTtZN/ZooT/eF21AhKiOm3q28Mrnhut4DyjP2/oBb2FxOMw1eedDDz2kDz74QNKF+6LatGmjwsJCff/99zp37pxatWqlr776StHRFw7cc+fOqVOnTjp8+LAaN26sjh07ytfXV/fff7/+8Ic/SJLefvttPfHEE5Kk5s2b64orrtC+fftUWFiov//973r88cdlt9t1+vRpNWjQwBlLVdouKirSrbfeqk2bNkmSGjdurMjISNntdmVmZuqHHy58QeX333+vtm3blnu9RUVFuu2225SSkqJNmzY5X1ddYi+1KXHKh0r74L9y/Mo314dENFW/hc+qWWwHN0dXc1y51CAtLa1a3+3Rs2fP6oR2WerapQbWzxbVicsOq5MDRuz/mrzs0F3yN4/y+ssO3XUcOBwOdf3tCqXuP+3ythcvO8zKKXD5ssOWYcE6uPoe+fm55zPmupYDNb3/eR+oOs4FPINR5wKSCUe+Hn30UU2cOFFxcXHy9/dXSkqKDh8+rJiYGE2bNk27du0qU6AEBgZq9erVGjp0qPz8/LRlyxZ9++23Zb4r6/HHH9eCBQvUoUMHnTp1StnZ2Ro8eLC2bdumXr16yWazqV27dmUKr6q2HRQUpHXr1mnu3Lnq06ePSktLtXPnTuXk5CgyMlLx8fFas2ZNhYXX+fPnNWLECCUlJWn16tV1svCSJB+rr3q//LBGbH1b3Z4eoYYdWimwSQOFtGyqiJu66+YPxuvOzX+v04UXAHgji8Wisb9zf9/06J2d3FZ4AYArTHcRaZ8+fcpMI18V0dHRWrly5SXXGTNmjMaMGVPhsksNHlalbT8/P40bN07jxo2rLFQnu92ukSNHat26dfrPf/6jXr16VXlbTxUS0VSx43+n2PG//n0uAIC6ZdQdUZr9QYoOZue75fmaNgrUE/dUb+IpAKhtfCxUR40dO1ZLly7V008/reDgYG3evNn5U9n3hQEA4C4hwX5unSTh75OuVbPG5r83GEDdRPFVR61evVqSNGvWLF177bVlfi5+7xjqrmbNmik+Pr7C73ODdyAHYCY39WqpJ+917fLDYycLlZVTUOn3gf3c3be21d23tnM1PMAj0Q+Yk+kuO/QWBw8eNDoE1KImTZpo5MiRRocBA5EDMJvXn+utg0fO6ouNVfvurcq+B+yX4mKb64NpN1QnNMAj0Q+YEyNfgAc6c+aM1q5dqzNnzhgdCgxCDsBs/Px8tOz132j4b9rUeNs39Wyh1W/douAgPlOGedAPmBPFF+CBsrOzNWnSJGVnZxsdCgxCDsCMAvx99dmcmzXrqR7yr4HZCH18LJr4cDetfvtW1Q/xr4EIAc9BP2BOFF8AAMBtrFYfTXiom7Z/Nkxxsc2r3U63To21+R93aEZ8DwX4+9ZghABQexifBwAAbhfdvpG+WTRYibtO6O3P9mjJ6u91rth2yW2sVovu7B+pJ+7uouuvCZfFYnFTtABQMyi+AACAYXpe2Uw9r2ymtyZfp537crVt90nt3Jer/MLzcjikkCCrotuHqkdMU3Xr2IT7ugDUabyDAR4oICBAnTp1UkBAgNGhwCDkALxNYIDVWYgBoB8wK4ovwAO1bdtWH330kdFhwEDkAAB4N/oBc2LCDQAAAABwA4ovwAOlp6crLi5O6enpRocCg5ADAODd6AfMieIL8EAOh0Pnz5+Xw+EwOhQYhBwAAO9GP2BOFF8AAAAA4AZMuAHg8gQEyPrZIqOjqDpmjapRwUFW5W8eZXQYLqnxqcrr2jEgcRzUtLqWAzW8/3kfgLcfA64g8wBcFovFIgUGGh0GDGKxWBQS7Gd0GIbiGIC35wDvA/D2Y8AVFF+AB4qMjNSSJUsUERFhdCgwCDkAAN6NfsCcKL4ADxQYGKj27dsbHQYMRA4AgHejHzAnJtwAPNDRo0f18ssv6+jRo0aHAoOQAwDg3egHzIniC/BAeXl5WrVqlfLy8owOBQYhBwDAu9EPmBPFFwAAAAC4AcUXAAAAALgBxRcAAAAAuAHFF+CBGjdurNGjR6tx48ZGhwKDkAMA4N3oB8yJ4gvwQD4+PvLz85OPD4eotyIHAMC70Q+YE3sT8EAnT57Uu+++q5MnTxodCgxCDgCAd6MfMCeKLwAAAABwA4ovAAAAAHADii8AAAAAcAOKL8AD1a9fXwMHDlT9+vWNDgUGIQcAwLvRD5iTxeFwOIwOAvAGiYmJtf4cPXv2rPXnQPWw/wEA9AVg5AvwQMXFxcrMzFRxcbHRocAg5AAAeDf6AXOi+AI80IEDB3TnnXfqwIEDRocCg5ADAODd6AfMieILAAAAANyA4gsAAAAA3IDiCwAAAADcgOILAAAAANzAanQAAMrr3Lmztm7danQYMBA5AADejX7AnBj5AgAAAAA3oPgCPNChQ4f00EMP6dChQ0aHAoOQAwDg3egHzIniC/BARUVF2rVrl4qKiowOBQYhBwDAu9EPmBPFFwAAAAC4AcUXAAAAALgBxRcAAAAAuAHFF+CBWrRooalTp6pFixZGhwKDkAMA4N3oB8yJ7/kCPFDDhg01aNAgo8OAgcgBAPBu9APmxMjXz7z66quaMmWK8vLy6lTbMJ/c3FwtXbpUubm5RocCg5ADAODd6AfMieLrR3l5eRo/frxmz56tevXq1Zm2YU45OTmaM2eOcnJyjA4FBiEHAMC70Q+YE8XXj5KTk+VwONS1a1f5+vrWmbYBAAAA1A0UXz9KTk6WJMXGxtaptgEAAADUDaYuvoqLizV37lz17dtXjRo1kr+/v8LDw9WrVy+NHz9e2dnZWr58uSwWi5577jlJ0vz582WxWJw/M2bMcLZ38OBBzZkzRwMHDlT79u0VEhKi4OBgdevWTbNmzVJJSUmZ53elbUkqKSnRwoUL1b9/fzVp0kQBAQGKiorSn//8Z+Xn59fyXwsAAABAbTLtbIcnTpxQ//79lZKSIqvVqrZt2yoqKkpHjhxRUlKSEhMTNWbMGBUUFCguLk7btm3TuXPnFBsbq+DgYGc71113nfP/L730kt5//32FhISoZcuWiomJ0fHjx5WSkqKUlBQlJiZq+fLlzvVdaTsjI0PDhg1TamqqrFar2rVrp7CwMGVkZOiVV17RmjVrtGnTpjLbw7yCg4PVu3dv9rcXIwcAwLvRD5iTxeFwOIwOojaMGjVKH330ke677z69/vrrat68uXPZkSNH9PHHH+tPf/qTLBaL7Ha76tevr8LCQuXm5io0NLTCNj/99FN16NBBsbGxslgszseTkpI0ePBg5eTkKCUlRV27dnUuq0rbp06dUu/evZWRkaFHHnlE06dPV1hYmCRp3759Gjp0qPbs2aOXX35ZkydPrpk/ENwuMTGx1p+jZ8+etf4cqB72PwCAvgCmvexwxYoV8vX11YIFC8oUXpIUERGh8ePHOwuovXv3qrCwUG3atPnVwkuS7rnnHl199dVlCi9J6tGjhwYMGCBJSk1NLbOsKm3Hx8crIyND8fHxWrhwobPwkqQOHTpo3rx5kqSVK1dW5aXDBGw2m/Lz82Wz2YwOBQYhBwDAu9EPmJMpi6/S0lKVlJTIZrPp66+/rnT9HTt2SJK6d+9+yfWKi4u1dOlSPfnkk7r99tt1ww03qG/fvurbt6+++OILSZK/v79LbaempuqTTz5ReHi4Zs6cWeE6F7c9cuSI87FNmzapf//+atGihQICAtSqVSvdc8892rNnz6VfLOqEffv26eabb9a+ffuMDgUGIQcAwLvRD5iTKe/5slqtGjZsmJYuXarBgwfr5ptv1ogRIzRkyBBFRESUW78qxde6dev04IMPKjMz85LP3a5dO5faXrJkiex2u2w2m3P07JcuTuQREhLifCw3N1ddu3bVY489prCwMGVlZWnmzJm69tprtWvXLrVq1eqScVakR48eOnbsmMvboWpGjBhR5XWPHz8uSVq9erW2bdtW5e2GDx/uclxwD1f2v1S9HGD/A4Bn41zAHMLDw5WUlFStbU1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"text/plain": [ - "
" + "
" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "grover_op = GroverOperator(oracle, reflection_qubits=[0, 1, 2], insert_barriers=True)\n", + "grover_op = grover_operator(oracle, reflection_qubits=[0, 1, 2], insert_barriers=True)\n", "grover_op.decompose().draw(output=\"mpl\")" ] }, @@ -471,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": { "tags": [] }, @@ -495,7 +473,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -517,7 +495,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": { "tags": [] }, @@ -543,7 +521,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": { "tags": [] }, @@ -591,7 +569,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -604,7 +582,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -617,7 +595,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -637,7 +615,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -646,7 +624,7 @@ "12" ] }, - "execution_count": 18, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -666,7 +644,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -675,7 +653,7 @@ "[1, -2, 3]" ] }, - "execution_count": 19, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -704,7 +682,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -723,7 +701,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -741,7 +719,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -759,7 +737,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -788,13 +766,13 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ - "

Version Information

SoftwareVersion
qiskit2.0.3
qiskit_algorithms0.4.0
qiskit_aer0.17.1
System information
Python version3.13.5
OSLinux
Thu Aug 07 00:19:55 2025 CEST
" + "

Version Information

SoftwareVersion
qiskit2.1.2
qiskit_aer0.17.1
qiskit_algorithms0.5.0
System information
Python version3.13.7
OSLinux
Sun Sep 14 12:59:35 2025 CEST
" ], "text/plain": [ "" @@ -841,7 +819,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.5" + "version": "3.13.7" }, "vscode": { "interpreter": { diff --git a/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py b/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py index ee5017a6..01a4db04 100644 --- a/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py +++ b/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py @@ -17,7 +17,7 @@ from typing import Any, List, cast from qiskit.circuit import QuantumCircuit, Gate -from qiskit.circuit.library import GroverOperator +from qiskit.circuit.library import grover_operator as grover_operator_builder from qiskit.quantum_info import Statevector @@ -205,10 +205,10 @@ def grover_operator(self) -> QuantumCircuit | None: Returns: The Grover operator, or None if neither the Grover operator nor the - :math:`\mathcal{A}` operator is set. + :math:`\mathcal{A}` operator is set. """ if self._grover_operator is None: - return GroverOperator(self.oracle, self.state_preparation) + return grover_operator_builder(self.oracle, self.state_preparation) return self._grover_operator @grover_operator.setter diff --git a/qiskit_algorithms/amplitude_amplifiers/grover.py b/qiskit_algorithms/amplitude_amplifiers/grover.py index 3ebdb34f..d68eb11e 100644 --- a/qiskit_algorithms/amplitude_amplifiers/grover.py +++ b/qiskit_algorithms/amplitude_amplifiers/grover.py @@ -96,7 +96,7 @@ class Grover(AmplitudeAmplifier): \mathcal{Q} = \mathcal{A} \mathcal{S}_0 \mathcal{A}^\dagger \mathcal{S}_f. - For more information, see the :class:`~qiskit.circuit.library.GroverOperator` in the + For more information, see the :func:`~qiskit.circuit.library.grover_operator` function in the circuit library. References: @@ -217,9 +217,7 @@ def amplify(self, amplification_problem: AmplificationProblem) -> "GroverResult" iterator: Iterator[int] = iter(self._iterations) else: max_iterations = max(10, 2**amplification_problem.oracle.num_qubits) - max_power = np.ceil( - 2 ** (len(amplification_problem.grover_operator.reflection_qubits) / 2) - ) + max_power = np.ceil(2 ** (len(amplification_problem.objective_qubits) / 2)) iterator = self._iterations result = GroverResult() diff --git a/qiskit_algorithms/amplitude_estimators/estimation_problem.py b/qiskit_algorithms/amplitude_estimators/estimation_problem.py index 282ca4cd..0e789b43 100644 --- a/qiskit_algorithms/amplitude_estimators/estimation_problem.py +++ b/qiskit_algorithms/amplitude_estimators/estimation_problem.py @@ -1,6 +1,6 @@ # This code is part of a Qiskit project. # -# (C) Copyright IBM 2020, 2024. +# (C) Copyright IBM 2020, 2025. # # This code is licensed under the Apache License, Version 2.0. You may # obtain a copy of this license in the LICENSE.txt file in the root directory @@ -19,7 +19,7 @@ import numpy from qiskit.circuit import QuantumCircuit, QuantumRegister -from qiskit.circuit.library import GroverOperator +from qiskit.circuit.library import grover_operator as grover_operator_builder class EstimationProblem: @@ -167,7 +167,8 @@ def grover_operator(self) -> QuantumCircuit | None: r"""Get the :math:`\mathcal{Q}` operator, or Grover operator. If the Grover operator is not set, we try to build it from the :math:`\mathcal{A}` operator - and `objective_qubits`. This only works if `objective_qubits` is a list of integers. + and `objective_qubits` using the :func:`~qiskit.circuit.library.grover_operator` function. + This only works if `objective_qubits` is a list of integers. Returns: The Grover operator, or None if neither the Grover operator nor the @@ -190,7 +191,7 @@ def grover_operator(self) -> QuantumCircuit | None: oracle.h(self.objective_qubits[-1]) # construct the grover operator - return GroverOperator(oracle, self.state_preparation) + return grover_operator_builder(oracle, self.state_preparation) @grover_operator.setter def grover_operator(self, grover_operator: QuantumCircuit | None) -> None: @@ -198,7 +199,8 @@ def grover_operator(self, grover_operator: QuantumCircuit | None) -> None: Args: grover_operator: The new :math:`\mathcal{Q}` operator. If set to ``None``, - the default construction via ``qiskit.circuit.library.GroverOperator`` is used. + the default construction via :func:`~qiskit.circuit.library.grover_operator` is + used when accessing the property. """ self._grover_operator = grover_operator diff --git a/releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml b/releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml new file mode 100644 index 00000000..3857aa70 --- /dev/null +++ b/releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml @@ -0,0 +1,9 @@ +--- +upgrade: + - | + :class:`AmplificationProblem` and :class:`EstimationProblem` now use the function + :func:`~qiskit.circuit.library.grover_operator` to construct the Grover operator + by default, instead of the class :class:`~qiskit.circuit.library.GroverOperator`, + to follow with the latter's deprecation in Qiskit 2.1. In particular, if these classes + are instantiated without providing a Grover operator, the new default construction + is used, and it won't be possible to access the attributes of the deprecated class. diff --git a/test/test_grover.py b/test/test_grover.py index 47297319..9167258d 100644 --- a/test/test_grover.py +++ b/test/test_grover.py @@ -17,9 +17,9 @@ from test import QiskitAlgorithmsTestCase import numpy as np -from ddt import data, ddt +from ddt import data, ddt, idata, unpack from qiskit import QuantumCircuit -from qiskit.circuit.library import GroverOperator, PhaseOracle, PhaseOracleGate +from qiskit.circuit.library import grover_operator, GroverOperator, PhaseOracle, PhaseOracleGate from qiskit.primitives import StatevectorSampler from qiskit.quantum_info import Operator, Statevector from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager @@ -36,24 +36,24 @@ def setUp(self): super().setUp() oracle = QuantumCircuit(2) oracle.cz(0, 1) - self._expected_grover_op = GroverOperator(oracle=oracle) - @data("oracle_only", "oracle_and_stateprep") - def test_groverop_getter(self, kind): + @idata(product(["oracle_only", "oracle_and_stateprep"], [GroverOperator, grover_operator])) + @unpack + def test_groverop_getter(self, kind, oracle_builder): """Test the default construction of the Grover operator.""" oracle = QuantumCircuit(2) oracle.cz(0, 1) if kind == "oracle_only": problem = AmplificationProblem(oracle, is_good_state=["11"]) - expected = GroverOperator(oracle) + expected = oracle_builder(oracle) else: stateprep = QuantumCircuit(2) stateprep.ry(0.2, [0, 1]) problem = AmplificationProblem( oracle, state_preparation=stateprep, is_good_state=["11"] ) - expected = GroverOperator(oracle, stateprep) + expected = oracle_builder(oracle, stateprep) self.assertEqual(Operator(expected), Operator(problem.grover_operator)) @@ -204,11 +204,12 @@ def test_run_state_vector_oracle(self): result = grover.amplify(problem) self.assertIn(result.top_measurement, ["11"]) - def test_run_custom_grover_operator(self): + @data(GroverOperator, grover_operator) + def test_run_custom_grover_operator(self, oracle_builder): """Test execution with a grover operator oracle""" oracle = QuantumCircuit(2) oracle.cz(0, 1) - grover_op = GroverOperator(oracle) + grover_op = oracle_builder(oracle) problem = AmplificationProblem( oracle=oracle, grover_operator=grover_op, is_good_state=["11"] ) @@ -225,7 +226,8 @@ def test_optimal_num_iterations(self): actual = Grover.optimal_num_iterations(num_solutions, num_qubits) self.assertEqual(actual, expected) - def test_construct_circuit(self): + @data(GroverOperator, grover_operator) + def test_construct_circuit(self, oracle_builder): """Test construct_circuit""" oracle = QuantumCircuit(2) oracle.cz(0, 1) @@ -233,7 +235,7 @@ def test_construct_circuit(self): grover = Grover() constructed = grover.construct_circuit(problem, 2, measurement=False) - grover_op = GroverOperator(oracle) + grover_op = oracle_builder(oracle) expected = QuantumCircuit(2) expected.h([0, 1]) expected.compose(grover_op.power(2), inplace=True) From 14089c1cfcc7e47630d6b810053ebee3583398df Mon Sep 17 00:00:00 2001 From: Tristan NEMOZ Date: Tue, 16 Sep 2025 14:03:55 +0200 Subject: [PATCH 2/2] Using GroverOperator if the Qiskit version is older than 2.1.0 --- .../amplitude_amplifiers/amplification_problem.py | 7 ++++++- qiskit_algorithms/amplitude_amplifiers/grover.py | 3 ++- .../amplitude_estimators/estimation_problem.py | 12 +++++++++--- ...or-grover_operator-function-8221f7abca3b84d6.yaml | 11 ++++++----- 4 files changed, 23 insertions(+), 10 deletions(-) diff --git a/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py b/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py index 01a4db04..6e29f978 100644 --- a/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py +++ b/qiskit_algorithms/amplitude_amplifiers/amplification_problem.py @@ -16,10 +16,15 @@ from collections.abc import Callable from typing import Any, List, cast +from qiskit.version import get_version_info from qiskit.circuit import QuantumCircuit, Gate -from qiskit.circuit.library import grover_operator as grover_operator_builder from qiskit.quantum_info import Statevector +if get_version_info() >= "2.1.0": + from qiskit.circuit.library import grover_operator as grover_operator_builder +else: + from qiskit.circuit.library import GroverOperator as grover_operator_builder + class AmplificationProblem: """The amplification problem is the input to amplitude amplification algorithms, like Grover. diff --git a/qiskit_algorithms/amplitude_amplifiers/grover.py b/qiskit_algorithms/amplitude_amplifiers/grover.py index d68eb11e..1aa46173 100644 --- a/qiskit_algorithms/amplitude_amplifiers/grover.py +++ b/qiskit_algorithms/amplitude_amplifiers/grover.py @@ -97,7 +97,8 @@ class Grover(AmplitudeAmplifier): \mathcal{Q} = \mathcal{A} \mathcal{S}_0 \mathcal{A}^\dagger \mathcal{S}_f. For more information, see the :func:`~qiskit.circuit.library.grover_operator` function in the - circuit library. + circuit library or the :class:`~qiskit.circuit.library.GroverOperator` class if you're using a + version of Qiskit older than 2.1.0. References: [1]: L. K. Grover (1996), A fast quantum mechanical algorithm for database search, diff --git a/qiskit_algorithms/amplitude_estimators/estimation_problem.py b/qiskit_algorithms/amplitude_estimators/estimation_problem.py index 0e789b43..48c4c283 100644 --- a/qiskit_algorithms/amplitude_estimators/estimation_problem.py +++ b/qiskit_algorithms/amplitude_estimators/estimation_problem.py @@ -17,9 +17,13 @@ from collections.abc import Callable import numpy - from qiskit.circuit import QuantumCircuit, QuantumRegister -from qiskit.circuit.library import grover_operator as grover_operator_builder +from qiskit.version import get_version_info + +if get_version_info() >= "2.1.0": + from qiskit.circuit.library import grover_operator as grover_operator_builder +else: + from qiskit.circuit.library import GroverOperator as grover_operator_builder class EstimationProblem: @@ -200,7 +204,9 @@ def grover_operator(self, grover_operator: QuantumCircuit | None) -> None: Args: grover_operator: The new :math:`\mathcal{Q}` operator. If set to ``None``, the default construction via :func:`~qiskit.circuit.library.grover_operator` is - used when accessing the property. + used when accessing the property using Qiskit in its 2.1.0 version or an older + one. If using Qiskit in an older version, the + :class:`~qiskit.circuit.library.GroverOperator` is instead used. """ self._grover_operator = grover_operator diff --git a/releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml b/releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml index 3857aa70..1b250374 100644 --- a/releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml +++ b/releasenotes/notes/add-support-for-grover_operator-function-8221f7abca3b84d6.yaml @@ -1,9 +1,10 @@ --- -upgrade: +fixes: - | :class:`AmplificationProblem` and :class:`EstimationProblem` now use the function :func:`~qiskit.circuit.library.grover_operator` to construct the Grover operator - by default, instead of the class :class:`~qiskit.circuit.library.GroverOperator`, - to follow with the latter's deprecation in Qiskit 2.1. In particular, if these classes - are instantiated without providing a Grover operator, the new default construction - is used, and it won't be possible to access the attributes of the deprecated class. + by default when using Qiskit in its 2.1.0 version or an older one, instead of the + class :class:`~qiskit.circuit.library.GroverOperator`, to follow with the latter's + deprecation in Qiskit 2.10. In particular, if these classes are instantiated without + providing a Grover operator and the new default construction is used, it won't be + possible to access the attributes of the deprecated class.