2_QAOA-executed.ipynb

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      "source": [
        "#2.- QAOA\n",
        "\n",
        "### Setup"
      ],
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      }
    },
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      ],
      "source": [
        "pip install qiskit"
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      "source": [
        "pip install qiskit-optimization"
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      "execution_count": 2,
      "outputs": [
        {
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          "name": "stdout",
          "text": [
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          ]
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    },
    {
      "cell_type": "code",
      "source": [
        "pip install pylatexenc"
      ],
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        "id": "u7WsETz2yfDy",
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          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7ed92912-d269-43bb-dda9-92969d2af592"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
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          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "token = \"\""
      ],
      "metadata": {
        "id": "iKU3RovckA0I"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "##2.1- Using QAOA with Hamiltonians"
      ],
      "metadata": {
        "id": "qMC67bzcyVnU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit.opflow import Z\n",
        "from qiskit.algorithms import QAOA\n",
        "\n",
        "H1 = Z^Z # Define Z_0Z_1\n",
        "qaoa = QAOA()\n",
        "circuit = qaoa.construct_circuit([1,2],H1)[0]\n",
        "circuit.draw(output=\"mpl\")"
      ],
      "metadata": {
        "id": "G9eXuA9gyBSY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 140
        },
        "outputId": "e06a313d-0ac5-4382-bfdd-b6154734af40"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 447.652x144.48 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "circuit.decompose().decompose().draw(output=\"mpl\")"
      ],
      "metadata": {
        "id": "ZuKdmRaTyYgY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 140
        },
        "outputId": "fcd1847a-0dca-401f-ac4c-9a7e5f305d18"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 387.452x144.48 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "qaoa = QAOA(reps = 2)\n",
        "circuit = qaoa.construct_circuit([1,2,3,4],H1)[0]\n",
        "circuit.decompose().decompose().draw(output=\"mpl\")"
      ],
      "metadata": {
        "id": "D-LVuod9y0Ul",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 140
        },
        "outputId": "4cdfe8be-4994-4e01-ee82-d67bf8bc7e35"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 628.252x144.48 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit.utils import algorithm_globals, QuantumInstance\n",
        "from qiskit import Aer\n",
        "from qiskit.algorithms.optimizers import COBYLA\n",
        "\n",
        "seed = 1234\n",
        "algorithm_globals.random_seed = seed\n",
        "quantum_instance = QuantumInstance(Aer.get_backend(\"aer_simulator\"), \n",
        "                   seed_simulator=seed, seed_transpiler=seed, \n",
        "                   shots = 10)\n",
        "qaoa = QAOA(optimizer = COBYLA(), quantum_instance=quantum_instance)\n",
        "result = qaoa.compute_minimum_eigenvalue(H1)\n",
        "print(result)"
      ],
      "metadata": {
        "id": "LVXjeDJhzA_W",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "0deba258-0866-4e4c-8d0b-9a510d23642e"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{   'aux_operator_eigenvalues': None,\n",
            "    'cost_function_evals': 20,\n",
            "    'eigenstate': {'01': 0.5477225575051661, '10': 0.8366600265340756},\n",
            "    'eigenvalue': (-1+0j),\n",
            "    'optimal_circuit': None,\n",
            "    'optimal_parameters': {   ParameterVectorElement(γ[0]): -0.847240391875931,\n",
            "                              ParameterVectorElement(β[0]): 6.7647519845416655},\n",
            "    'optimal_point': array([ 6.76475198, -0.84724039]),\n",
            "    'optimal_value': -1.0,\n",
            "    'optimizer_evals': None,\n",
            "    'optimizer_result': None,\n",
            "    'optimizer_time': 0.07387089729309082}\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Using Runtime"
      ],
      "metadata": {
        "id": "f_OkI_NuTEEP"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit import IBMQ\n",
        "\n",
        "IBMQ.save_account(token)\n",
        "\n",
        "provider = IBMQ.load_account()\n",
        "program_id = \"qaoa\"\n",
        "\n",
        "H1 = Z^Z\n",
        "opt = COBYLA()\n",
        "reps = 1\n",
        "shots = 1024\n",
        "\n",
        "runtime_inputs = {\n",
        "    \"operator\": H1,\n",
        "    \"reps\": reps,\n",
        "    \"optimizer\": opt,\n",
        "    \"initial_point\": [0,0],\n",
        "    \"use_swap_strategies\": False\n",
        "}\n",
        "\n",
        "#options = {\"backend_name\": \"ibmq_belem\"}\n",
        "options = {\"backend_name\": \"ibmq_qasm_simulator\"}\n",
        "\n",
        "job = provider.runtime.run(program_id=program_id, \n",
        "      options=options, inputs=runtime_inputs)"
      ],
      "metadata": {
        "id": "ZUJricUrz3L3"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "job.status()"
      ],
      "metadata": {
        "id": "0kMDZwN6TlNd",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c81acf6b-b784-4291-f561-9ac4ed4d2002"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<JobStatus.RUNNING: 'job is actively running'>"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "result = job.result()\n",
        "print(\"Optimizer time\", result['optimizer_time'])\n",
        "print(\"Optimal value\", result['optimal_value'])\n",
        "print(\"Optimal point\", result['optimal_point'])\n",
        "print(\"Optimal state\", result['eigenstate'])"
      ],
      "metadata": {
        "id": "7DH8vGVsT9Dq",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "89eeb047-5221-4c0f-c213-e58de4955edb"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Optimizer time 0.44562244415283203\n",
            "Optimal value -0.9999999999999999\n",
            "Optimal point [1.15353836 0.76719149]\n",
            "Optimal state {'00': 0.04419417382415922, '01': 0.7194290270763336, '10': 0.6931585316505886}\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## 2.2- Solving QUBO problems with QAOA in Qiskit"
      ],
      "metadata": {
        "id": "MOZ7VVZYUeJH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit_optimization.problems import QuadraticProgram\n",
        "\n",
        "qp = QuadraticProgram()\n",
        "qp.binary_var('x')\n",
        "qp.binary_var('y')\n",
        "qp.binary_var('z')\n",
        "\n",
        "qp.minimize(linear = {'y':-1}, quadratic = {('x','y'):2, ('z','y'):-4})\n",
        "qp.linear_constraint(linear = {'x':1, 'y':2, 'z':3}, \n",
        "    sense =\"<=\", rhs = 5)\n",
        "\n",
        "print(qp.export_as_lp_string())"
      ],
      "metadata": {
        "id": "ZzsU1HzFT-yS",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "854fa8c1-e605-4bea-b3bd-d14a46b3ccc2"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\\ This file has been generated by DOcplex\n",
            "\\ ENCODING=ISO-8859-1\n",
            "\\Problem name: CPLEX\n",
            "\n",
            "Minimize\n",
            " obj: - y + [ 4 x*y - 8 y*z ]/2\n",
            "Subject To\n",
            " c0: x + 2 y + 3 z <= 5\n",
            "\n",
            "Bounds\n",
            " 0 <= x <= 1\n",
            " 0 <= y <= 1\n",
            " 0 <= z <= 1\n",
            "\n",
            "Binaries\n",
            " x y z\n",
            "End\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit_optimization.algorithms import MinimumEigenOptimizer\n",
        "from qiskit.algorithms import NumPyMinimumEigensolver\n",
        "np_solver = NumPyMinimumEigensolver()\n",
        "np_optimizer = MinimumEigenOptimizer(np_solver)\n",
        "result = np_optimizer.solve(qp)\n",
        "print(result)"
      ],
      "metadata": {
        "id": "Miixj6krNGkw",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a32ded00-b855-49ee-be96-2dcd2f0f94c0"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "fval=-5.0, x=0.0, y=1.0, z=1.0, status=SUCCESS\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit import Aer\n",
        "from qiskit.algorithms import QAOA\n",
        "from qiskit.algorithms.optimizers import COBYLA\n",
        "from qiskit.utils import QuantumInstance\n",
        "quantum_instance = QuantumInstance(Aer.get_backend(\"aer_simulator\"), \n",
        "    shots = 1024)\n",
        "qaoa = QAOA(optimizer = COBYLA(), \n",
        "    quantum_instance=quantum_instance, reps = 1)  \n",
        "qaoa_optimizer = MinimumEigenOptimizer(qaoa)\n",
        "result = qaoa_optimizer.solve(qp)\n",
        "print(result)"
      ],
      "metadata": {
        "id": "FJDlFXwDUnbG",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3a1215ba-627b-4c92-b8ba-36e562c38853"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "fval=-5.0, x=0.0, y=1.0, z=1.0, status=SUCCESS\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "print('Variable order:', [var.name for var in result.variables])\n",
        "for s in result.samples:\n",
        "    print(s)"
      ],
      "metadata": {
        "id": "U9wF4Ds9Ushm",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a82e3245-c953-47ac-d0a0-67d9a7716080"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Variable order: ['x', 'y', 'z']\n",
            "SolutionSample(x=array([0., 1., 1.]), fval=-5.0, probability=0.1572265625, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([0., 1., 0.]), fval=-1.0, probability=0.0859375, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 0., 1.]), fval=0.0, probability=0.0673828125, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([0., 0., 1.]), fval=0.0, probability=0.09375, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 0., 0.]), fval=0.0, probability=0.1337890625, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([0., 0., 0.]), fval=0.0, probability=0.2177734375, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 1., 0.]), fval=1.0, probability=0.0986328125, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 1., 1.]), fval=-3.0, probability=0.1455078125, status=<OptimizationResultStatus.INFEASIBLE: 2>)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "print(result.min_eigen_solver_result)"
      ],
      "metadata": {
        "id": "JPcAPc84UwRY",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b1f6b999-a455-4595-a9bc-ced95ff5163a"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{   'aux_operator_eigenvalues': None,\n",
            "    'cost_function_evals': 27,\n",
            "    'eigenstate': {   '000000': 0.13258252147247765,\n",
            "                      '000001': 0.05412658773652741,\n",
            "                      '000010': 0.12103072956898178,\n",
            "                      '000011': 0.10825317547305482,\n",
            "                      '000100': 0.03125,\n",
            "                      '000101': 0.0625,\n",
            "                      '000110': 0.33946189035000673,\n",
            "                      '000111': 0.10825317547305482,\n",
            "                      '001000': 0.07654655446197431,\n",
            "                      '001001': 0.09375,\n",
            "                      '001010': 0.08267972847076846,\n",
            "                      '001011': 0.07654655446197431,\n",
            "                      '001100': 0.07654655446197431,\n",
            "                      '001101': 0.14657549249448218,\n",
            "                      '001110': 0.05412658773652741,\n",
            "                      '001111': 0.33511891546136274,\n",
            "                      '010000': 0.11267347735824966,\n",
            "                      '010001': 0.04419417382415922,\n",
            "                      '010010': 0.15309310892394862,\n",
            "                      '010011': 0.05412658773652741,\n",
            "                      '010100': 0.13258252147247765,\n",
            "                      '010101': 0.05412658773652741,\n",
            "                      '010110': 0.08838834764831845,\n",
            "                      '010111': 0.08838834764831845,\n",
            "                      '011000': 0.06987712429686843,\n",
            "                      '011001': 0.14657549249448218,\n",
            "                      '011010': 0.0625,\n",
            "                      '011011': 0.10364452469860624,\n",
            "                      '011100': 0.08838834764831845,\n",
            "                      '011101': 0.13258252147247765,\n",
            "                      '011110': 0.0625,\n",
            "                      '100000': 0.11267347735824966,\n",
            "                      '100010': 0.14657549249448218,\n",
            "                      '100011': 0.0625,\n",
            "                      '100100': 0.13258252147247765,\n",
            "                      '100101': 0.03125,\n",
            "                      '100110': 0.05412658773652741,\n",
            "                      '100111': 0.07654655446197431,\n",
            "                      '101001': 0.16535945694153692,\n",
            "                      '101010': 0.08267972847076846,\n",
            "                      '101011': 0.08267972847076846,\n",
            "                      '101100': 0.09375,\n",
            "                      '101101': 0.08267972847076846,\n",
            "                      '101110': 0.0625,\n",
            "                      '110000': 0.3232525135246438,\n",
            "                      '110001': 0.2072890493972125,\n",
            "                      '110010': 0.0625,\n",
            "                      '110011': 0.10825317547305482,\n",
            "                      '110100': 0.18221724671391565,\n",
            "                      '110101': 0.05412658773652741,\n",
            "                      '110110': 0.13258252147247765,\n",
            "                      '111000': 0.24407030237208294,\n",
            "                      '111001': 0.16828640022295324,\n",
            "                      '111010': 0.06987712429686843,\n",
            "                      '111011': 0.21194781197266463,\n",
            "                      '111100': 0.04419417382415922,\n",
            "                      '111101': 0.10364452469860624,\n",
            "                      '111110': 0.05412658773652741,\n",
            "                      '111111': 0.08838834764831845},\n",
            "    'eigenvalue': (-19.389648437499996+0j),\n",
            "    'optimal_circuit': None,\n",
            "    'optimal_parameters': {   ParameterVectorElement(γ[0]): -2.9828628133018444,\n",
            "                              ParameterVectorElement(β[0]): 5.319396056371163},\n",
            "    'optimal_point': array([ 5.31939606, -2.98286281]),\n",
            "    'optimal_value': -19.389648437499996,\n",
            "    'optimizer_evals': None,\n",
            "    'optimizer_result': None,\n",
            "    'optimizer_time': 0.7263884544372559}\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Transforming the problem into the Ising model"
      ],
      "metadata": {
        "id": "bXYnEhfNV5hX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit_optimization.converters import QuadraticProgramToQubo\n",
        "qp_to_qubo = QuadraticProgramToQubo()\n",
        "qubo = qp_to_qubo.convert(qp)\n",
        "print(qubo.export_as_lp_string())"
      ],
      "metadata": {
        "id": "42Y-MzYmU63t",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d77ae837-c4de-4e85-89ad-016566162321"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\\ This file has been generated by DOcplex\n",
            "\\ ENCODING=ISO-8859-1\n",
            "\\Problem name: CPLEX\n",
            "\n",
            "Minimize\n",
            " obj: - 80 x - 161 y - 240 z - 80 c0@int_slack@0 - 160 c0@int_slack@1\n",
            "      - 160 c0@int_slack@2 + [ 16 x^2 + 68 x*y + 96 x*z + 32 x*c0@int_slack@0\n",
            "      + 64 x*c0@int_slack@1 + 64 x*c0@int_slack@2 + 64 y^2 + 184 y*z\n",
            "      + 64 y*c0@int_slack@0 + 128 y*c0@int_slack@1 + 128 y*c0@int_slack@2\n",
            "      + 144 z^2 + 96 z*c0@int_slack@0 + 192 z*c0@int_slack@1\n",
            "      + 192 z*c0@int_slack@2 + 16 c0@int_slack@0^2\n",
            "      + 64 c0@int_slack@0*c0@int_slack@1 + 64 c0@int_slack@0*c0@int_slack@2\n",
            "      + 64 c0@int_slack@1^2 + 128 c0@int_slack@1*c0@int_slack@2\n",
            "      + 64 c0@int_slack@2^2 ]/2 + 200\n",
            "Subject To\n",
            "\n",
            "Bounds\n",
            " 0 <= x <= 1\n",
            " 0 <= y <= 1\n",
            " 0 <= z <= 1\n",
            " 0 <= c0@int_slack@0 <= 1\n",
            " 0 <= c0@int_slack@1 <= 1\n",
            " 0 <= c0@int_slack@2 <= 1\n",
            "\n",
            "Binaries\n",
            " x y z c0@int_slack@0 c0@int_slack@1 c0@int_slack@2\n",
            "End\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "H1, offset = qubo.to_ising()\n",
        "print(\"The Hamiltonian is\", H1)\n",
        "print(\"The constant term is\", offset)"
      ],
      "metadata": {
        "id": "UHiacsYjVC_l",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3f584ce3-e4bf-4b14-b837-b7f4e01cc096"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The Hamiltonian is -7.0 * IIIIZI\n",
            "- 4.5 * IIIIIZ\n",
            "- 11.0 * IIIZII\n",
            "- 4.0 * IIZIII\n",
            "- 8.0 * IZIIII\n",
            "- 8.0 * ZIIIII\n",
            "+ 8.5 * IIIIZZ\n",
            "+ 12.0 * IIIZIZ\n",
            "+ 23.0 * IIIZZI\n",
            "+ 4.0 * IIZIIZ\n",
            "+ 8.0 * IIZIZI\n",
            "+ 12.0 * IIZZII\n",
            "+ 8.0 * IZIIIZ\n",
            "+ 16.0 * IZIIZI\n",
            "+ 24.0 * IZIZII\n",
            "+ 8.0 * IZZIII\n",
            "+ 8.0 * ZIIIIZ\n",
            "+ 16.0 * ZIIIZI\n",
            "+ 24.0 * ZIIZII\n",
            "+ 8.0 * ZIZIII\n",
            "+ 16.0 * ZZIIII\n",
            "The constant term is 47.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Using Runtime"
      ],
      "metadata": {
        "id": "OBPe-1d6V_U3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit_optimization.runtime import QAOAClient\n",
        "from qiskit import IBMQ\n",
        "\n",
        "provider = IBMQ.load_account()\n",
        "qaoa_client = QAOAClient(provider=provider, \n",
        "                      #backend=provider.get_backend(\"ibm_manila\"), reps=1)\n",
        "                      backend=provider.get_backend(\"ibmq_qasm_simulator\"), reps=1)\n",
        "\n",
        "qaoa = MinimumEigenOptimizer(qaoa_client)\n",
        "result = qaoa.solve(qp)\n",
        "print(result)"
      ],
      "metadata": {
        "id": "5lT1_8U3VLvU",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b4a876f7-f57f-49d5-ae32-28857b125c44"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "ibmqfactory.load_account:WARNING:2022-10-17 16:17:58,864: Credentials are already in use. The existing account in the session will be replaced.\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "fval=-5.0, x=0.0, y=1.0, z=1.0, status=SUCCESS\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "print('Variable order:', [var.name for var in result.variables])\n",
        "for s in result.samples:\n",
        "    print(s)"
      ],
      "metadata": {
        "id": "buPv6VQ6VsG3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3c1ff51b-7d45-42ad-d901-f99ae5688083"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Variable order: ['x', 'y', 'z']\n",
            "SolutionSample(x=array([0., 1., 1.]), fval=-5.0, probability=0.13671875, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([0., 1., 0.]), fval=-1.0, probability=0.146484375, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 0., 1.]), fval=0.0, probability=0.125, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([0., 0., 1.]), fval=0.0, probability=0.1083984375, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 0., 0.]), fval=0.0, probability=0.103515625, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([0., 0., 0.]), fval=0.0, probability=0.1416015625, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 1., 0.]), fval=1.0, probability=0.1435546875, status=<OptimizationResultStatus.SUCCESS: 0>)\n",
            "SolutionSample(x=array([1., 1., 1.]), fval=-3.0, probability=0.0947265625, status=<OptimizationResultStatus.INFEASIBLE: 2>)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "print(result.min_eigen_solver_result)"
      ],
      "metadata": {
        "id": "J5AkBIFVWJTc",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f09c33da-d9f3-40d6-913a-edb77b67dd51"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{   'aux_operator_eigenvalues': None,\n",
            "    'cost_function_evals': 600,\n",
            "    'eigenstate': {   '000000': 0.14986973510352247,\n",
            "                      '000001': 0.08838834764831845,\n",
            "                      '000010': 0.15309310892394862,\n",
            "                      '000011': 0.1288470508005519,\n",
            "                      '000100': 0.11267347735824966,\n",
            "                      '000101': 0.14320549046737,\n",
            "                      '000110': 0.14657549249448218,\n",
            "                      '000111': 0.09882117688026186,\n",
            "                      '001000': 0.13975424859373686,\n",
            "                      '001001': 0.12103072956898178,\n",
            "                      '001010': 0.13975424859373686,\n",
            "                      '001011': 0.1288470508005519,\n",
            "                      '001100': 0.13975424859373686,\n",
            "                      '001101': 0.11692679333668567,\n",
            "                      '001110': 0.08838834764831845,\n",
            "                      '001111': 0.09375,\n",
            "                      '010000': 0.09882117688026186,\n",
            "                      '010001': 0.09375,\n",
            "                      '010010': 0.10825317547305482,\n",
            "                      '010011': 0.125,\n",
            "                      '010100': 0.09882117688026186,\n",
            "                      '010101': 0.125,\n",
            "                      '010110': 0.09882117688026186,\n",
            "                      '010111': 0.125,\n",
            "                      '011000': 0.13258252147247765,\n",
            "                      '011001': 0.125,\n",
            "                      '011010': 0.14657549249448218,\n",
            "                      '011011': 0.14986973510352247,\n",
            "                      '011100': 0.125,\n",
            "                      '011101': 0.11267347735824966,\n",
            "                      '011110': 0.13621559198564606,\n",
            "                      '011111': 0.08267972847076846,\n",
            "                      '100000': 0.15934435979977452,\n",
            "                      '100001': 0.125,\n",
            "                      '100010': 0.14320549046737,\n",
            "                      '100011': 0.12103072956898178,\n",
            "                      '100100': 0.09375,\n",
            "                      '100101': 0.13621559198564606,\n",
            "                      '100110': 0.13975424859373686,\n",
            "                      '100111': 0.13258252147247765,\n",
            "                      '101000': 0.11692679333668567,\n",
            "                      '101001': 0.11267347735824966,\n",
            "                      '101010': 0.10825317547305482,\n",
            "                      '101011': 0.1288470508005519,\n",
            "                      '101100': 0.10364452469860624,\n",
            "                      '101101': 0.11692679333668567,\n",
            "                      '101110': 0.09375,\n",
            "                      '101111': 0.12103072956898178,\n",
            "                      '110000': 0.125,\n",
            "                      '110001': 0.12103072956898178,\n",
            "                      '110010': 0.14320549046737,\n",
            "                      '110011': 0.14657549249448218,\n",
            "                      '110100': 0.1288470508005519,\n",
            "                      '110101': 0.13975424859373686,\n",
            "                      '110110': 0.16237976320958225,\n",
            "                      '110111': 0.10364452469860624,\n",
            "                      '111000': 0.13258252147247765,\n",
            "                      '111001': 0.11692679333668567,\n",
            "                      '111010': 0.13258252147247765,\n",
            "                      '111011': 0.13975424859373686,\n",
            "                      '111100': 0.12103072956898178,\n",
            "                      '111101': 0.10364452469860624,\n",
            "                      '111110': 0.15625,\n",
            "                      '111111': 0.10364452469860624},\n",
            "    'eigenvalue': (0.8232421875000009+0j),\n",
            "    'job_id': 'cd6o0fkhragmaklru580',\n",
            "    'optimal_circuit': None,\n",
            "    'optimal_parameters': None,\n",
            "    'optimal_point': array([ 6.4126562 , -5.09997941]),\n",
            "    'optimal_value': 0.8232421875000009,\n",
            "    'optimizer_evals': None,\n",
            "    'optimizer_history': {   'energy': [   8.0068359375,\n",
            "                                           -12.453125,\n",
            "                                           3.4228515624999996,\n",
            "                                           -10.041015625,\n",
            "                                           6.927734375000001,\n",
            "                                           -21.077148437499996,\n",
            "                                           -20.9423828125,\n",
            "                                           4.810546875000001,\n",
            "                                           2.2724609375,\n",
            "                                           -22.422851562500004,\n",
            "                                           4.395507812499998,\n",
            "                                           -14.7392578125,\n",
            "                                           -20.7216796875,\n",
            "                                           2.015625,\n",
            "                                           -10.236328125,\n",
            "                                           6.9130859375,\n",
            "                                           1.6640625000000013,\n",
            "                                           -20.499023437499996,\n",
            "                                           1.7978515624999996,\n",
            "                                           -13.941406249999998,\n",
            "                                           -12.196289062499998,\n",
            "                                           4.040039062500002,\n",
            "                                           0.4287109374999972,\n",
            "                                           -20.561523437499996,\n",
            "                                           1.6162109375000018,\n",
            "                                           -10.874023437499996,\n",
            "                                           5.449218750000002,\n",
            "                                           -12.408203125,\n",
            "                                           -21.3564453125,\n",
            "                                           3.893554687500003,\n",
            "                                           2.168945312500002,\n",
            "                                           -12.435546875000002,\n",
            "                                           4.745117187499997,\n",
            "                                           -22.962890625,\n",
            "                                           4.916015625000002,\n",
            "                                           -21.384765625,\n",
            "                                           1.9111328125000007,\n",
            "                                           -11.3154296875,\n",
            "                                           5.1279296875000036,\n",
            "                                           -10.0732421875,\n",
            "                                           1.4111328124999998,\n",
            "                                           -13.4892578125,\n",
            "                                           -11.8056640625,\n",
            "                                           5.994140624999999,\n",
            "                                           -12.172851562499996,\n",
            "                                           7.075195312500002,\n",
            "                                           -12.467773437500002,\n",
            "                                           6.274414062499999,\n",
            "                                           -21.419921875,\n",
            "                                           3.0146484374999987,\n",
            "                                           -13.797851562500004,\n",
            "                                           0.4824218750000024,\n",
            "                                           53.6728515625,\n",
            "                                           23.846679687500007,\n",
            "                                           5.928710937499998,\n",
            "                                           26.119140624999996,\n",
            "                                           32.4267578125,\n",
            "                                           -0.7109374999999981,\n",
            "                                           5.1708984375,\n",
            "                                           5.754882812499999,\n",
            "                                           21.1064453125,\n",
            "                                           -1.681640625,\n",
            "                                           11.3544921875,\n",
            "                                           -2.900390624999999,\n",
            "                                           -2.152343749999999,\n",
            "                                           3.4082031250000013,\n",
            "                                           -12.7978515625,\n",
            "                                           0.8847656249999997,\n",
            "                                           13.133789062499998,\n",
            "                                           17.508789062500004,\n",
            "                                           -0.41992187499999983,\n",
            "                                           -15.806640625,\n",
            "                                           3.2333984375000004,\n",
            "                                           26.361328125,\n",
            "                                           -4.013671875,\n",
            "                                           2.5869140625000027,\n",
            "                                           0.15332031250000155,\n",
            "                                           -10.527343750000002,\n",
            "                                           0.49023437500000094,\n",
            "                                           4.294921874999998,\n",
            "                                           1.3906250000000027,\n",
            "                                           -16.3271484375,\n",
            "                                           22.100585937500004,\n",
            "                                           0.09082031249999978,\n",
            "                                           -2.5351562500000027,\n",
            "                                           -15.483398437500002,\n",
            "                                           -7.2275390624999964,\n",
            "                                           -2.5175781249999987,\n",
            "                                           10.5947265625,\n",
            "                                           3.2646484375000018,\n",
            "                                           8.6162109375,\n",
            "                                           -2.1943359375000018,\n",
            "                                           0.24218749999999556,\n",
            "                                           8.755859374999995,\n",
            "                                           -0.9648437499999993,\n",
            "                                           -8.1943359375,\n",
            "                                           -5.9267578125000036,\n",
            "                                           -4.293945312499998,\n",
            "                                           -2.3564453125000004,\n",
            "                                           10.922851562500004,\n",
            "                                           -3.769531250000001,\n",
            "                                           11.7109375,\n",
            "                                           2.1347656250000036,\n",
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            "                                           array([ 6.42779737, -5.21960293]),\n",
            "                                           array([ 6.18830694, -5.22174811]),\n",
            "                                           array([ 6.42994255, -4.9801125 ]),\n",
            "                                           array([ 6.43067995, -5.22084531]),\n",
            "                                           array([ 6.18920974, -4.9793751 ]),\n",
            "                                           array([ 6.19915551, -4.98932087]),\n",
            "                                           array([ 6.44046154, -5.2306269 ]),\n",
            "                                           array([ 6.44308179, -4.99210408]),\n",
            "                                           array([ 6.20193872, -5.23324715]),\n",
            "                                           array([ 6.43778444, -4.99740143]),\n",
            "                                           array([ 6.19680315, -5.23838272]),\n",
            "                                           array([ 6.43493244, -5.24107411]),\n",
            "                                           array([ 6.19411176, -5.00025343]),\n",
            "                                           array([ 6.19312203, -4.99926369]),\n",
            "                                           array([ 6.43378327, -5.23992494]),\n",
            "                                           array([ 6.18754193, -4.9936836 ]),\n",
            "                                           array([ 6.42804488, -5.23418655]),\n",
            "                                           array([ 6.17914066, -5.2256281 ]),\n",
            "                                           array([ 6.41948643, -4.98528232]),\n",
            "                                           array([ 6.44402406, -5.2009344 ]),\n",
            "                                           array([ 6.20383435, -4.96074469]),\n",
            "                                           array([ 6.20110095, -5.19804604]),\n",
            "                                           array([ 6.4411357 , -4.95801129]),\n",
            "                                           array([ 6.17216829, -4.98709783]),\n",
            "                                           array([ 6.41204916, -5.2269787 ]),\n",
            "                                           array([ 6.42503868, -5.00024015]),\n",
            "                                           array([ 6.18531061, -5.23996822]),\n",
            "                                           array([ 6.17111541, -5.25416342]),\n",
            "                                           array([ 6.41069172, -5.01458711]),\n",
            "                                           array([ 6.17977587, -5.00607736]),\n",
            "                                           array([ 6.41920147, -5.24550296]),\n",
            "                                           array([ 6.41329858, -5.00032416]),\n",
            "                                           array([ 6.17402267, -5.23960007]),\n",
            "                                           array([ 6.17446574, -5.239157  ]),\n",
            "                                           array([ 6.41359298, -5.00002976]),\n",
            "                                           array([ 6.40535215, -5.24725016]),\n",
            "                                           array([ 6.16637258, -5.0082706 ]),\n",
            "                                           array([ 6.39808191, -5.00114705]),\n",
            "                                           array([ 6.15924904, -5.23997993]),\n",
            "                                           array([ 6.38888948, -5.01033949]),\n",
            "                                           array([ 6.15020231, -5.24902666]),\n",
            "                                           array([ 6.14447294, -5.25475602]),\n",
            "                                           array([ 6.38301537, -5.0162136 ]),\n",
            "                                           array([ 6.1706208 , -5.22860817]),\n",
            "                                           array([ 6.40901942, -4.99020954]),\n",
            "                                           array([ 6.41818572, -4.98104324]),\n",
            "                                           array([ 6.17992995, -5.21929902]),\n",
            "                                           array([ 6.42781194, -4.97141703]),\n",
            "                                           array([ 6.18969809, -5.20953087]),\n",
            "                                           array([ 6.41033661, -4.98889236]),\n",
            "                                           array([ 6.17236377, -5.22686519]),\n",
            "                                           array([ 6.42387804, -5.21318366]),\n",
            "                                           array([ 6.18604531, -4.97535093]),\n",
            "                                           array([ 6.41451182, -5.20381744]),\n",
            "                                           array([ 6.17681831, -4.96612392]),\n",
            "                                           array([ 6.17443919, -4.96374481]),\n",
            "                                           array([ 6.41199438, -5.2013    ]),\n",
            "                                           array([ 6.3964217 , -4.94830959]),\n",
            "                                           array([ 6.15900397, -5.18572732]),\n",
            "                                           array([ 6.15882721, -4.94862294]),\n",
            "                                           array([ 6.39610835, -5.18590408]),\n",
            "                                           array([ 6.4020726 , -5.19186833]),\n",
            "                                           array([ 6.16492721, -4.95472294]),\n",
            "                                           array([ 6.16351179, -4.95330752]),\n",
            "                                           array([ 6.40052228, -5.19031801]),\n",
            "                                           array([ 6.16279435, -4.95259008]),\n",
            "                                           array([ 6.39967078, -5.18946651]),\n",
            "                                           array([ 6.40654537, -5.1963411 ]),\n",
            "                                           array([ 6.1698022 , -4.95959792]),\n",
            "                                           array([ 6.40004052, -4.95322551]),\n",
            "                                           array([ 6.16342978, -5.18983625]),\n",
            "                                           array([ 6.37980593, -4.97346011]),\n",
            "                                           array([ 6.14332682, -5.20993922]),\n",
            "                                           array([ 6.14083832, -5.21242771]),\n",
            "                                           array([ 6.3771866 , -4.97607944]),\n",
            "                                           array([ 6.37390142, -4.97936462]),\n",
            "                                           array([ 6.1376832 , -5.21558284]),\n",
            "                                           array([ 6.39063332, -5.19872166]),\n",
            "                                           array([ 6.15454438, -4.96263272]),\n",
            "                                           array([ 6.14922925, -5.19327802]),\n",
            "                                           array([ 6.38518968, -4.95731759]),\n",
            "                                           array([ 6.14219881, -4.96447577]),\n",
            "                                           array([ 6.3780315 , -5.20030846]),\n",
            "                                           array([ 6.37312999, -5.19540695]),\n",
            "                                           array([ 6.13742431, -4.95970127]),\n",
            "                                           array([ 6.357432  , -4.94412954]),\n",
            "                                           array([ 6.12185258, -5.17970896]),\n",
            "                                           array([ 6.1326223 , -4.93348535]),\n",
            "                                           array([ 6.3680762 , -5.16893924]),\n",
            "                                           array([ 6.38394224, -4.94947619]),\n",
            "                                           array([ 6.14861315, -5.18480529]),\n",
            "                                           array([ 6.38270747, -5.18591598]),\n",
            "                                           array([ 6.14750246, -4.95071097]),\n",
            "                                           array([ 6.37486582, -4.94299269]),\n",
            "                                           array([ 6.13978418, -5.17807433]),\n",
            "                                           array([ 6.1496363 , -4.93326324]),\n",
            "                                           array([ 6.38459527, -5.16822221]),\n",
            "                                           array([ 6.17966748, -5.1981314 ]),\n",
            "                                           array([ 6.41450447, -4.96329442]),\n",
            "                                           array([ 6.17045866, -5.20734023]),\n",
            "                                           array([ 6.40517435, -4.97262453]),\n",
            "                                           array([ 6.16685639, -4.97634741]),\n",
            "                                           array([ 6.40145147, -5.21094249]),\n",
            "                                           array([ 6.40248022, -4.9774961 ]),\n",
            "                                           array([ 6.16800508, -5.21197124]),\n",
            "                                           array([ 6.3935596 , -5.22077258]),\n",
            "                                           array([ 6.15920373, -4.98641672]),\n",
            "                                           array([ 6.17706069, -5.23851092]),\n",
            "                                           array([ 6.41129794, -5.00427367]),\n",
            "                                           array([ 6.17367516, -5.24189646]),\n",
            "                                           array([ 6.40779444, -5.00777717]),\n",
            "                                           array([ 6.17266036, -5.00890928]),\n",
            "                                           array([ 6.40666233, -5.24291125]),\n",
            "                                           array([ 6.40581773, -5.00818137]),\n",
            "                                           array([ 6.17193245, -5.24206665]),\n",
            "                                           array([ 6.16725209, -5.24674701]),\n",
            "                                           array([ 6.40102132, -5.01297778]),\n",
            "                                           array([ 6.18041369, -5.23358541]),\n",
            "                                           array([ 6.41406749, -4.99993161]),\n",
            "                                           array([ 6.41014222, -5.00385688]),\n",
            "                                           array([ 6.17660323, -5.23739587]),\n",
            "                                           array([ 6.4028457, -5.0111534]),\n",
            "                                           array([ 6.16942091, -5.24457819]),\n",
            "                                           array([ 6.39680286, -5.01719624]),\n",
            "                                           array([ 6.16349165, -5.25050744]),\n",
            "                                           array([ 6.39438126, -5.25281605]),\n",
            "                                           array([ 6.16118305, -5.01961784]),\n",
            "                                           array([ 6.40599621, -5.264431  ]),\n",
            "                                           array([ 6.17291039, -5.03134518]),\n",
            "                                           array([ 6.17037393, -5.02880873]),\n",
            "                                           array([ 6.40334794, -5.26178273]),\n",
            "                                           array([ 6.17634572, -5.03478051]),\n",
            "                                           array([ 6.4092085 , -5.26764329]),\n",
            "                                           array([ 6.17879881, -5.26998572]),\n",
            "                                           array([ 6.41155093, -5.0372336 ]),\n",
            "                                           array([ 6.41194639, -5.03683814]),\n",
            "                                           array([ 6.17930435, -5.26948018]),\n",
            "                                           array([ 6.41758042, -5.26373663]),\n",
            "                                           array([ 6.1850479 , -5.03120411]),\n",
            "                                           array([ 6.42294253, -5.26909873]),\n",
            "                                           array([ 6.19051896, -5.03667517]),\n",
            "                                           array([ 6.40872618, -5.02256722]),\n",
            "                                           array([ 6.17641102, -5.25488239]),\n",
            "                                           array([ 6.19485225, -5.00423385]),\n",
            "                                           array([ 6.42705956, -5.23644116]),\n",
            "                                           array([ 6.40896404, -4.98624564]),\n",
            "                                           array([ 6.17686404, -5.21834564]),\n",
            "                                           array([ 6.19294688, -5.20226281]),\n",
            "                                           array([ 6.4249401 , -4.97026958]),\n",
            "                                           array([ 6.41356813, -5.21352854]),\n",
            "                                           array([ 6.18168114, -4.98164156]),\n",
            "                                           array([ 6.1896905 , -4.98965092]),\n",
            "                                           array([ 6.42147177, -5.22143219]),\n",
            "                                           array([ 6.19343476, -5.22507126]),\n",
            "                                           array([ 6.42511084, -4.99339517]),\n",
            "                                           array([ 6.20616596, -4.98076865]),\n",
            "                                           array([ 6.43773737, -5.21234006]),\n",
            "                                           array([ 6.44426832, -5.21887101]),\n",
            "                                           array([ 6.21280106, -4.98740376]),\n",
            "                                           array([ 6.21650335, -4.99110604]),\n",
            "                                           array([ 6.44786695, -5.22246964]),\n",
            "                                           array([ 6.22663402, -5.23249717]),\n",
            "                                           array([ 6.45789448, -5.00123672]),\n",
            "                                           array([ 6.45301039, -5.00612081]),\n",
            "                                           array([ 6.22185258, -5.23727862]),\n",
            "                                           array([ 6.44216827, -5.01696293]),\n",
            "                                           array([ 6.21111261, -5.24801859]),\n",
            "                                           array([ 6.2064824, -5.0216948]),\n",
            "                                           array([ 6.43743639, -5.2526488 ]),\n",
            "                                           array([ 6.43573728, -5.25094968]),\n",
            "                                           array([ 6.20488446, -5.02009686]),\n",
            "                                           array([ 6.20874053, -5.25470506]),\n",
            "                                           array([ 6.43949265, -5.02395293]),\n",
            "                                           array([ 6.21604925, -5.24739634]),\n",
            "                                           array([ 6.44670115, -5.01674444]),\n",
            "                                           array([ 6.45299849, -5.0104471 ]),\n",
            "                                           array([ 6.22244633, -5.24099925]),\n",
            "                                           array([ 6.44449866, -5.01894693]),\n",
            "                                           array([ 6.21404578, -5.24939981]),\n",
            "                                           array([ 6.2200428 , -5.24340279]),\n",
            "                                           array([ 6.45039686, -5.01304872]),\n",
            "                                           array([ 6.45080577, -5.01263982]),\n",
            "                                           array([ 6.22055006, -5.24289553]),\n",
            "                                           array([ 6.2146806 , -5.01860717]),\n",
            "                                           array([ 6.44483841, -5.24876498]),\n",
            "                                           array([ 6.22191368, -5.02584025]),\n",
            "                                           array([ 6.45197404, -5.25590061]),\n",
            "                                           array([ 6.46553539, -5.03949859]),\n",
            "                                           array([ 6.23557202, -5.26946196]),\n",
            "                                           array([ 6.46057015, -5.27433064]),\n",
            "                                           array([ 6.23070334, -5.04446383]),\n",
            "                                           array([ 6.43604612, -5.2498066 ]),\n",
            "                                           array([ 6.20627542, -5.02003591]),\n",
            "                                           array([ 6.20907906, -5.02283955]),\n",
            "                                           array([ 6.43875408, -5.25251457]),\n",
            "                                           array([ 6.44852886, -5.03270957]),\n",
            "                                           array([ 6.21894909, -5.26228935]),\n",
            "                                           array([ 6.21818047, -5.03357301]),\n",
            "                                           array([ 6.44766542, -5.26305797]),\n",
            "                                           array([ 6.2222541 , -5.03764664]),\n",
            "                                           array([ 6.45164466, -5.2670372 ]),\n",
            "                                           array([ 6.21739735, -5.0327899 ]),\n",
            "                                           array([ 6.44669395, -5.26208649]),\n",
            "                                           array([ 6.44756819, -5.26296073]),\n",
            "                                           array([ 6.21836515, -5.03375769]),\n",
            "                                           array([ 6.2248615 , -5.26936394]),\n",
            "                                           array([ 6.4539714 , -5.04025404]),\n",
            "                                           array([ 6.23053687, -5.26368856]),\n",
            "                                           array([ 6.45955405, -5.03467139]),\n",
            "                                           array([ 6.45945128, -5.03477416]),\n",
            "                                           array([ 6.23052643, -5.26369901]),\n",
            "                                           array([ 6.23796135, -5.02743115]),\n",
            "                                           array([ 6.46679428, -5.25626409]),\n",
            "                                           array([ 6.4771907, -5.2666605]),\n",
            "                                           array([ 6.24844927, -5.03791908]),\n",
            "                                           array([ 6.47236612, -5.03318562]),\n",
            "                                           array([ 6.24371582, -5.26183593]),\n",
            "                                           array([ 6.25609856, -5.24945318]),\n",
            "                                           array([ 6.48465815, -5.0208936 ]),\n",
            "                                           array([ 6.26772437, -5.00935813]),\n",
            "                                           array([ 6.49619362, -5.23782738]),\n",
            "                                           array([ 6.47975302, -5.22138679]),\n",
            "                                           array([ 6.25137372, -4.99300748]),\n",
            "                                           array([ 6.47753476, -5.21916853]),\n",
            "                                           array([ 6.24924502, -4.99087879]),\n",
            "                                           array([ 6.25964014, -5.22947447]),\n",
            "                                           array([ 6.48784071, -5.00127391]),\n",
            "                                           array([ 6.49093937, -5.22628701]),\n",
            "                                           array([ 6.26282761, -4.99817525]),\n",
            "                                           array([ 6.25958936, -5.22296034]),\n",
            "                                           array([ 6.4876127, -4.994937 ]),\n",
            "                                           array([ 6.27251641, -5.21003328]),\n",
            "                                           array([ 6.50045169, -4.982098  ]),\n",
            "                                           array([ 6.29066759, -4.9640345 ]),\n",
            "                                           array([ 6.51851519, -5.1918821 ]),\n",
            "                                           array([ 6.29191014, -5.19303733]),\n",
            "                                           array([ 6.51967043, -4.96527705]),\n",
            "                                           array([ 6.50377466, -5.20884615]),\n",
            "                                           array([ 6.27610133, -4.98117282]),\n",
            "                                           array([ 6.50807842, -5.2131499 ]),\n",
            "                                           array([ 6.28049168, -4.98556317]),\n",
            "                                           array([ 6.50919712, -5.21426861]),\n",
            "                                           array([ 6.28169662, -4.98676811]),\n",
            "                                           array([ 6.28313529, -5.21562139]),\n",
            "                                           array([ 6.5105499 , -4.98820677]),\n",
            "                                           array([ 6.53087976, -5.19520601]),\n",
            "                                           array([ 6.30355067, -4.96787692]),\n",
            "                                           array([ 6.31105011, -5.20262027]),\n",
            "                                           array([ 6.53829402, -4.97537636]),\n",
            "                                           array([ 6.3023292 , -5.21134117]),\n",
            "                                           array([ 6.52948828, -4.9841821 ]),\n",
            "                                           array([ 6.54711459, -5.19363038]),\n",
            "                                           array([ 6.32004   , -4.96655579]),\n",
            "                                           array([ 6.55644718, -4.97597253]),\n",
            "                                           array([ 6.32945674, -5.20296297]),\n",
            "                                           array([ 6.31724244, -4.98827064]),\n",
            "                                           array([ 6.54414907, -5.21517727]),\n",
            "                                           array([ 6.31413345, -4.98516165]),\n",
            "                                           array([ 6.54095661, -5.21198481]),\n",
            "                                           array([ 6.30532255, -5.20309076]),\n",
            "                                           array([ 6.53206257, -4.97635075]),\n",
            "                                           array([ 6.31068028, -4.97107583]),\n",
            "                                           array([ 6.53733748, -5.19773303]),\n",
            "                                           array([ 6.53989026, -4.97371108]),\n",
            "                                           array([ 6.31331553, -5.20028581]),\n",
            "                                           array([ 6.29801863, -5.21558271]),\n",
            "                                           array([ 6.5245112 , -4.98909014]),\n",
            "                                           array([ 6.53816412, -4.97543722]),\n",
            "                                           array([ 6.31175338, -5.20184797]),\n",
            "                                           array([ 6.52518437, -5.21474621]),\n",
            "                                           array([ 6.29885513, -4.98841697]),\n",
            "                                           array([ 6.5229181, -4.9862319]),\n",
            "                                           array([ 6.29667005, -5.21247994]),\n",
            "                                           array([ 6.3146882 , -5.19446179]),\n",
            "                                           array([ 6.54085537, -4.96829462]),\n",
            "                                           array([ 6.52432574, -5.21091086]),\n",
            "                                           array([ 6.29823913, -4.98482425]),\n",
            "                                           array([ 6.52759268, -5.2141778 ]),\n",
            "                                           array([ 6.30158632, -4.98817144]),\n",
            "                                           array([ 6.29934138, -4.98592649]),\n",
            "                                           array([ 6.5252678 , -5.21185291]),\n",
            "                                           array([ 6.51623938, -4.97697771]),\n",
            "                                           array([ 6.29039259, -5.20282449]),\n",
            "                                           array([ 6.51241456, -5.20656999]),\n",
            "                                           array([ 6.28664709, -4.98080253]),\n",
            "                                           array([ 6.2817261 , -5.20156997]),\n",
            "                                           array([ 6.50741454, -4.97588153]),\n",
            "                                           array([ 6.50207113, -5.20683466]),\n",
            "                                           array([ 6.27646141, -4.98122494]),\n",
            "                                           array([ 6.27401084, -4.97877437]),\n",
            "                                           array([ 6.49954212, -5.20430566]),\n",
            "                                           array([ 6.49468401, -5.19944755]),\n",
            "                                           array([ 6.26923086, -4.97399439]),\n",
            "                                           array([ 6.26823141, -5.19837027]),\n",
            "                                           array([ 6.49360674, -4.97299494]),\n",
            "                                           array([ 6.25818738, -4.98311652]),\n",
            "                                           array([ 6.48348516, -5.2084143 ]),\n",
            "                                           array([ 6.49231175, -5.21724089]),\n",
            "                                           array([ 6.26709123, -4.99202037]),\n",
            "                                           array([ 6.26701832, -4.99194746]),\n",
            "                                           array([ 6.49216188, -5.21709102]),\n",
            "                                           array([ 6.50154879, -5.00141105]),\n",
            "                                           array([ 6.27648191, -5.22647793]),\n",
            "                                           array([ 6.28257754, -5.2203823 ]),\n",
            "                                           array([ 6.50756802, -4.99539182]),\n",
            "                                           array([ 6.29122079, -4.98682468]),\n",
            "                                           array([ 6.51613516, -5.21173905]),\n",
            "                                           array([ 6.52093513, -4.99170048]),\n",
            "                                           array([ 6.29609659, -5.21653901]),\n",
            "                                           array([ 6.4126562 , -5.09997941])],\n",
            "                             'std': [   2.026025468209724,\n",
            "                                        1.4097138025108586,\n",
            "                                        1.8513899209177866,\n",
            "                                        1.5722893647954665,\n",
            "                                        1.9946710766521532,\n",
            "                                        1.1623280163255316,\n",
            "                                        1.1842178766251417,\n",
            "                                        1.9410960747914385,\n",
            "                                        1.8479615253159054,\n",
            "                                        1.1048517152160338,\n",
            "                                        1.9513617087665185,\n",
            "                                        1.350700458724434,\n",
            "                                        1.2626963240729319,\n",
            "                                        1.8950053142986414,\n",
            "                                        1.5249350388851526,\n",
            "                                        1.9920422704437295,\n",
            "                                        1.827259462001956,\n",
            "                                        1.1552878831974385,\n",
            "                                        1.8625244024517473,\n",
            "                                        1.422843346608044,\n",
            "                                        1.4776250807261164,\n",
            "                                        1.902850852826237,\n",
            "                                        1.8327959938700384,\n",
            "                                        1.2336138052484849,\n",
            "                                        1.8698691218517134,\n",
            "                                        1.4525915824866047,\n",
            "                                        1.9183325296277942,\n",
            "                                        1.4688945848744148,\n",
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            "                                        1.7153762260062364,\n",
            "                                        1.9465183631640368,\n",
            "                                        1.7693359357208747,\n",
            "                                        1.898386872169856,\n",
            "                                        1.8236649375080543,\n",
            "                                        1.9628935619351255,\n",
            "                                        1.9119517297411937,\n",
            "                                        1.826431255993425,\n",
            "                                        1.9559383993391288,\n",
            "                                        1.8869498446508717,\n",
            "                                        1.8739785747614839,\n",
            "                                        1.7793216261309421,\n",
            "                                        1.8483930050354849,\n",
            "                                        1.871311850966943,\n",
            "                                        1.9011642980160046,\n",
            "                                        1.8081527361768175,\n",
            "                                        1.7537186103820337,\n",
            "                                        2.001137914291244,\n",
            "                                        1.9980159544579834,\n",
            "                                        1.7310540862105526,\n",
            "                                        1.9060407576475589,\n",
            "                                        1.7740823814156814,\n",
            "                                        1.83755095988603,\n",
            "                                        1.708385304764341,\n",
            "                                        1.753616151575258,\n",
            "                                        1.9047275581931489,\n",
            "                                        1.8569393752191394,\n",
            "                                        1.9973552414324722,\n",
            "                                        1.7589024100033417,\n",
            "                                        1.8021805241536422,\n",
            "                                        1.8766994632396554,\n",
            "                                        1.7159391122159815,\n",
            "                                        1.7998171144595647,\n",
            "                                        1.896350130767102,\n",
            "                                        1.8647744153397439,\n",
            "                                        1.811184541152163,\n",
            "                                        1.8784959881998196,\n",
            "                                        1.797636283146492,\n",
            "                                        1.9766878304589783,\n",
            "                                        1.8700852991477994,\n",
            "                                        1.873374512282081,\n",
            "                                        1.4895577150645016,\n",
            "                                        2.086823919587019,\n",
            "                                        1.918822247924586,\n",
            "                                        1.850218698705539,\n",
            "                                        1.7234872726829935,\n",
            "                                        1.793027389622936,\n",
            "                                        1.9093926135400325,\n",
            "                                        1.9502228805129294,\n",
            "                                        1.5891769563828537,\n",
            "                                        2.0329050160227724,\n",
            "                                        1.9092961814832596,\n",
            "                                        1.731387524950214,\n",
            "                                        1.5405899539926007,\n",
            "                                        1.7758733071738988,\n",
            "                                        1.5439157884273405,\n",
            "                                        1.8323778910370456,\n",
            "                                        1.5807005640013025,\n",
            "                                        1.5585217205292494,\n",
            "                                        1.8384010739148806,\n",
            "                                        1.9475674677450918,\n",
            "                                        1.9214306672437005,\n",
            "                                        1.9340621262960802,\n",
            "                                        2.010000376434433,\n",
            "                                        1.9764087580928742,\n",
            "                                        2.0108602960626603,\n",
            "                                        1.839618684281225,\n",
            "                                        1.5503634336181857,\n",
            "                                        1.558947508384884,\n",
            "                                        1.7359655825629345,\n",
            "                                        1.900477453200671,\n",
            "                                        1.9777283377784114,\n",
            "                                        1.8275381505518924,\n",
            "                                        1.9358685136731208,\n",
            "                                        1.8618749411240556,\n",
            "                                        2.0192807443873826,\n",
            "                                        1.8474721471569624,\n",
            "                                        1.8182106315753859,\n",
            "                                        1.8002180490509627,\n",
            "                                        1.904635370932164,\n",
            "                                        1.9298293140266936,\n",
            "                                        2.1382173795572332,\n",
            "                                        1.8071722083687376,\n",
            "                                        1.7934712262192947,\n",
            "                                        1.9803560267671492,\n",
            "                                        1.9507200786725902,\n",
            "                                        1.9190652669052106,\n",
            "                                        1.6547540482776666,\n",
            "                                        1.8864627192021215,\n",
            "                                        1.8821110464921307,\n",
            "                                        1.8651909186508737,\n",
            "                                        1.8152991743509004,\n",
            "                                        1.8947754238026915,\n",
            "                                        1.9610746789724824,\n",
            "                                        1.8114501730095,\n",
            "                                        1.7971554223777095,\n",
            "                                        1.8563874728319396,\n",
            "                                        1.9034428016389606,\n",
            "                                        1.967515791077345,\n",
            "                                        1.7604720235807523,\n",
            "                                        1.8804783539156333,\n",
            "                                        1.90010110520805,\n",
            "                                        1.8316787825986884,\n",
            "                                        1.9401271259732957,\n",
            "                                        1.9773170779873628,\n",
            "                                        1.6135821717035166,\n",
            "                                        1.7743664589743855,\n",
            "                                        1.8728604179154669,\n",
            "                                        1.9770315142969543,\n",
            "                                        1.8310465980351092,\n",
            "                                        1.7628543845385738,\n",
            "                                        1.7641391029653737,\n",
            "                                        1.678358322799872,\n",
            "                                        1.867784185068478,\n",
            "                                        1.9148146102906687,\n",
            "                                        1.7428802940457977,\n",
            "                                        1.8848998815027567,\n",
            "                                        1.9088865157496262,\n",
            "                                        1.9304373513493023,\n",
            "                                        1.8132172842383893,\n",
            "                                        1.8602360984934765,\n",
            "                                        1.7901768480476667,\n",
            "                                        2.103714942343947,\n",
            "                                        1.8800304077468537,\n",
            "                                        1.756508538537592,\n",
            "                                        1.6925970314492116,\n",
            "                                        1.6365017064198846,\n",
            "                                        1.8999288805145362,\n",
            "                                        1.8335545435298948,\n",
            "                                        1.8947606820370095,\n",
            "                                        1.894538513395799,\n",
            "                                        1.9331328582075933,\n",
            "                                        1.7973675672090887,\n",
            "                                        1.8410160433681537,\n",
            "                                        1.714390718754472,\n",
            "                                        1.8868901498706947,\n",
            "                                        1.859933064163873,\n",
            "                                        1.7966036954563578,\n",
            "                                        1.9825180403869775,\n",
            "                                        1.7806489371108924,\n",
            "                                        1.8057107037410087,\n",
            "                                        1.9097471481680972,\n",
            "                                        1.993903808047821,\n",
            "                                        1.8140568107919088,\n",
            "                                        1.7993627068658486,\n",
            "                                        2.1181424923788232,\n",
            "                                        2.069727109523988,\n",
            "                                        1.9506467257132105,\n",
            "                                        1.7968405925006512,\n",
            "                                        1.8287670442643447,\n",
            "                                        1.9391071043563357,\n",
            "                                        2.0351459407728334,\n",
            "                                        1.8194887933490789,\n",
            "                                        1.825881852360132,\n",
            "                                        1.9990539548451842,\n",
            "                                        1.786450115143017,\n",
            "                                        2.0531488210259314,\n",
            "                                        1.9088626530047936,\n",
            "                                        1.8740975910442614,\n",
            "                                        1.9767676904720064,\n",
            "                                        1.8330220304231395,\n",
            "                                        1.8163828694469284,\n",
            "                                        1.839573089064187,\n",
            "                                        1.7198777357091188,\n",
            "                                        1.9164100436897378]},\n",
            "    'optimizer_result': None,\n",
            "    'optimizer_time': 41.92782378196716}\n"
          ]
        }
      ]
    }
  ]
}