{
  "classical_tables": [
    {
      "graph_id": "textbook_cycle4",
      "n": 4,
      "rows": [
        {
          "compute_expectation": 0.0,
          "k": 0,
          "maxcut_obj": 0.0
        },
        {
          "compute_expectation": -2.0,
          "k": 1,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 2,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 3,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 4,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 5,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 6,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 7,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 8,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 9,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 10,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 11,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 12,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 13,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 14,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": 0.0,
          "k": 15,
          "maxcut_obj": 0.0
        }
      ]
    },
    {
      "graph_id": "asymmetric4",
      "n": 4,
      "rows": [
        {
          "compute_expectation": 0.0,
          "k": 0,
          "maxcut_obj": 0.0
        },
        {
          "compute_expectation": -2.0,
          "k": 1,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 2,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 3,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -3.0,
          "k": 4,
          "maxcut_obj": -3.0
        },
        {
          "compute_expectation": -3.0,
          "k": 5,
          "maxcut_obj": -3.0
        },
        {
          "compute_expectation": -3.0,
          "k": 6,
          "maxcut_obj": -3.0
        },
        {
          "compute_expectation": -1.0,
          "k": 7,
          "maxcut_obj": -1.0
        },
        {
          "compute_expectation": -1.0,
          "k": 8,
          "maxcut_obj": -1.0
        },
        {
          "compute_expectation": -3.0,
          "k": 9,
          "maxcut_obj": -3.0
        },
        {
          "compute_expectation": -3.0,
          "k": 10,
          "maxcut_obj": -3.0
        },
        {
          "compute_expectation": -3.0,
          "k": 11,
          "maxcut_obj": -3.0
        },
        {
          "compute_expectation": -2.0,
          "k": 12,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 13,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 14,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": 0.0,
          "k": 15,
          "maxcut_obj": 0.0
        }
      ]
    },
    {
      "graph_id": "cycle5",
      "n": 5,
      "rows": [
        {
          "compute_expectation": 0.0,
          "k": 0,
          "maxcut_obj": 0.0
        },
        {
          "compute_expectation": -2.0,
          "k": 1,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 2,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 3,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 4,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 5,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 6,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 7,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 8,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 9,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -4.0,
          "k": 10,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -4.0,
          "k": 11,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 12,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 13,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 14,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 15,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 16,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 17,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 18,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 19,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 20,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -4.0,
          "k": 21,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -4.0,
          "k": 22,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 23,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 24,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 25,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -4.0,
          "k": 26,
          "maxcut_obj": -4.0
        },
        {
          "compute_expectation": -2.0,
          "k": 27,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 28,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 29,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": -2.0,
          "k": 30,
          "maxcut_obj": -2.0
        },
        {
          "compute_expectation": 0.0,
          "k": 31,
          "maxcut_obj": 0.0
        }
      ]
    }
  ],
  "environment": {
    "architecture": "arm64",
    "distributions": [
      {
        "name": "dill",
        "version": "0.4.1"
      },
      {
        "name": "mqt-core",
        "version": "3.11.0"
      },
      {
        "name": "mqt-qcec",
        "version": "3.11.0"
      },
      {
        "name": "nanobind-backend",
        "version": "1.0.0"
      },
      {
        "name": "networkx",
        "version": "2.8.8"
      },
      {
        "name": "numpy",
        "version": "2.4.6"
      },
      {
        "name": "psutil",
        "version": "7.2.2"
      },
      {
        "name": "python-dateutil",
        "version": "3.0.0"
      },
      {
        "name": "qiskit",
        "version": "2.6.1"
      },
      {
        "name": "qiskit-aer",
        "version": "0.18.0"
      },
      {
        "name": "rustworkx",
        "version": "0.18.1"
      },
      {
        "name": "scipy",
        "version": "1.17.1"
      },
      {
        "name": "six",
        "version": "1.17.0"
      },
      {
        "name": "stevedore",
        "version": "5.9.1"
      },
      {
        "name": "typing-extensions",
        "version": "4.16.0"
      },
      {
        "name": "tzdata",
        "version": "2026.5"
      }
    ],
    "os": "Darwin",
    "python_version": "3.11.12"
  },
  "executions": [
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "textbook_cycle4__p1-a__shots-512.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "textbook_cycle4__p1-a__shots-512.qasm",
        "qpy": "textbook_cycle4__p1-a__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.341520Z",
      "id": "textbook_cycle4/p1-a/shots-512",
      "input_sha256": "bd2973bdd6445b5044d51ceb29adb39c59711345bc804854c53d2f5a3ea64383",
      "numeric": {
        "module_on_counts": -1.61328125,
        "module_on_probabilities": -1.6338345499071139,
        "probabilities": [
          0.1351229263819537,
          0.038004851431660845,
          0.038004851431660845,
          0.08463805201633523,
          0.038004851431660866,
          0.04358156385873218,
          0.08463805201633523,
          0.03800485143166086,
          0.03800485143166086,
          0.08463805201633523,
          0.04358156385873218,
          0.038004851431660866,
          0.08463805201633523,
          0.038004851431660845,
          0.038004851431660845,
          0.1351229263819537
        ],
        "returned": -1.61328125
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 132,
          "0001": 33,
          "0010": 29,
          "0011": 100,
          "0100": 40,
          "0101": 37,
          "0110": 81,
          "0111": 42,
          "1000": 47,
          "1001": 83,
          "1010": 47,
          "1011": 46,
          "1100": 88,
          "1101": 36,
          "1110": 33,
          "1111": 150
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.337095Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "textbook_cycle4__p1-a__shots-17.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "textbook_cycle4__p1-a__shots-17.qasm",
        "qpy": "textbook_cycle4__p1-a__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.344358Z",
      "id": "textbook_cycle4/p1-a/shots-17",
      "input_sha256": "fa07cd28b3b8891420b58ab0cf642e02a0b39068f47667ee27b215036ac8405d",
      "numeric": {
        "module_on_counts": -1.61328125,
        "module_on_probabilities": -1.6338345499071139,
        "probabilities": [
          0.1351229263819537,
          0.038004851431660845,
          0.038004851431660845,
          0.08463805201633523,
          0.038004851431660866,
          0.04358156385873218,
          0.08463805201633523,
          0.03800485143166086,
          0.03800485143166086,
          0.08463805201633523,
          0.04358156385873218,
          0.038004851431660866,
          0.08463805201633523,
          0.038004851431660845,
          0.038004851431660845,
          0.1351229263819537
        ],
        "returned": -1.61328125
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 132,
          "0001": 33,
          "0010": 29,
          "0011": 100,
          "0100": 40,
          "0101": 37,
          "0110": 81,
          "0111": 42,
          "1000": 47,
          "1001": 83,
          "1010": 47,
          "1011": 46,
          "1100": 88,
          "1101": 36,
          "1110": 33,
          "1111": 150
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.342071Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "textbook_cycle4__p1-b__shots-512.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "textbook_cycle4__p1-b__shots-512.qasm",
        "qpy": "textbook_cycle4__p1-b__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.347048Z",
      "id": "textbook_cycle4/p1-b/shots-512",
      "input_sha256": "7d3afa639a7301fd3a9b0fd953d29ce0326e271fea7966fcea861974a2fe10eb",
      "numeric": {
        "module_on_counts": -2.060546875,
        "module_on_probabilities": -2.0900746161779704,
        "probabilities": [
          0.10395455080269549,
          0.06219203858359514,
          0.06219203858359517,
          0.010402045007867799,
          0.06219203858359514,
          0.12647320484718802,
          0.01040204500786779,
          0.06219203858359514,
          0.06219203858359514,
          0.01040204500786779,
          0.12647320484718802,
          0.06219203858359514,
          0.010402045007867799,
          0.06219203858359517,
          0.06219203858359514,
          0.10395455080269549
        ],
        "returned": -2.060546875
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 102,
          "0001": 56,
          "0010": 58,
          "0011": 13,
          "0100": 72,
          "0101": 115,
          "0110": 15,
          "0111": 63,
          "1000": 68,
          "1001": 12,
          "1010": 134,
          "1011": 75,
          "1100": 4,
          "1101": 60,
          "1110": 61,
          "1111": 116
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.344858Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "textbook_cycle4__p1-b__shots-17.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "textbook_cycle4__p1-b__shots-17.qasm",
        "qpy": "textbook_cycle4__p1-b__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.350256Z",
      "id": "textbook_cycle4/p1-b/shots-17",
      "input_sha256": "94f83f59cb93d790a583f7c8012d538506f96d661700aaeb37168ea8a123355e",
      "numeric": {
        "module_on_counts": -2.060546875,
        "module_on_probabilities": -2.0900746161779704,
        "probabilities": [
          0.10395455080269549,
          0.06219203858359514,
          0.06219203858359517,
          0.010402045007867799,
          0.06219203858359514,
          0.12647320484718802,
          0.01040204500786779,
          0.06219203858359514,
          0.06219203858359514,
          0.01040204500786779,
          0.12647320484718802,
          0.06219203858359514,
          0.010402045007867799,
          0.06219203858359517,
          0.06219203858359514,
          0.10395455080269549
        ],
        "returned": -2.060546875
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 102,
          "0001": 56,
          "0010": 58,
          "0011": 13,
          "0100": 72,
          "0101": 115,
          "0110": 15,
          "0111": 63,
          "1000": 68,
          "1001": 12,
          "1010": 134,
          "1011": 75,
          "1100": 4,
          "1101": 60,
          "1110": 61,
          "1111": 116
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.347572Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "textbook_cycle4__p2__shots-512.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "textbook_cycle4__p2__shots-512.qasm",
        "qpy": "textbook_cycle4__p2__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.353178Z",
      "id": "textbook_cycle4/p2/shots-512",
      "input_sha256": "299c7512267d8b1ba78ffe2a027638ca10c6120ea22b6cc365a99f7704106e4b",
      "numeric": {
        "module_on_counts": -2.19140625,
        "module_on_probabilities": -2.1683093997105654,
        "probabilities": [
          0.07712867142038524,
          0.029957586053166996,
          0.029957586053166976,
          0.09191748150945994,
          0.029957586053166976,
          0.11920602134802667,
          0.09191748150945997,
          0.029957586053166965,
          0.029957586053166965,
          0.09191748150945997,
          0.11920602134802667,
          0.029957586053166976,
          0.09191748150945994,
          0.029957586053166976,
          0.029957586053166996,
          0.07712867142038524
        ],
        "returned": -2.19140625
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 75,
          "0001": 28,
          "0010": 29,
          "0011": 86,
          "0100": 34,
          "0101": 119,
          "0110": 87,
          "0111": 36,
          "1000": 36,
          "1001": 92,
          "1010": 138,
          "1011": 27,
          "1100": 85,
          "1101": 31,
          "1110": 37,
          "1111": 84
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.350824Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "textbook_cycle4__p2__shots-17.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "textbook_cycle4__p2__shots-17.qasm",
        "qpy": "textbook_cycle4__p2__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.356175Z",
      "id": "textbook_cycle4/p2/shots-17",
      "input_sha256": "6f82aff743be8d084ef54905861ff4e3bc64e43cc1f6948cc945898b2d7f1348",
      "numeric": {
        "module_on_counts": -2.19140625,
        "module_on_probabilities": -2.1683093997105654,
        "probabilities": [
          0.07712867142038524,
          0.029957586053166996,
          0.029957586053166976,
          0.09191748150945994,
          0.029957586053166976,
          0.11920602134802667,
          0.09191748150945997,
          0.029957586053166965,
          0.029957586053166965,
          0.09191748150945997,
          0.11920602134802667,
          0.029957586053166976,
          0.09191748150945994,
          0.029957586053166976,
          0.029957586053166996,
          0.07712867142038524
        ],
        "returned": -2.19140625
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 75,
          "0001": 28,
          "0010": 29,
          "0011": 86,
          "0100": 34,
          "0101": 119,
          "0110": 87,
          "0111": 36,
          "1000": 36,
          "1001": 92,
          "1010": 138,
          "1011": 27,
          "1100": 85,
          "1101": 31,
          "1110": 37,
          "1111": 84
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.353752Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "asymmetric4__p1-a__shots-512.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "asymmetric4__p1-a__shots-512.qasm",
        "qpy": "asymmetric4__p1-a__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.358812Z",
      "id": "asymmetric4/p1-a/shots-512",
      "input_sha256": "c034adc209e349ea974c7a895cb3cf09077dd1bd25d0be14b82726be6e8bb072",
      "numeric": {
        "module_on_counts": -1.509765625,
        "module_on_probabilities": -1.544021573388693,
        "probabilities": [
          0.11701481993699715,
          0.07155085143995121,
          0.07155085143995121,
          0.07171567193043196,
          0.051179624592461406,
          0.017962245659021606,
          0.017962245659021606,
          0.08106368934216372,
          0.08106368934216372,
          0.017962245659021606,
          0.017962245659021606,
          0.051179624592461406,
          0.07171567193043196,
          0.07155085143995121,
          0.07155085143995121,
          0.11701481993699715
        ],
        "returned": -1.509765625
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 114,
          "0001": 60,
          "0010": 79,
          "0011": 81,
          "0100": 40,
          "0101": 15,
          "0110": 20,
          "0111": 85,
          "1000": 89,
          "1001": 13,
          "1010": 22,
          "1011": 56,
          "1100": 85,
          "1101": 68,
          "1110": 64,
          "1111": 133
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.356784Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "asymmetric4__p1-a__shots-17.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "asymmetric4__p1-a__shots-17.qasm",
        "qpy": "asymmetric4__p1-a__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.361547Z",
      "id": "asymmetric4/p1-a/shots-17",
      "input_sha256": "1510f88f4839aceb42d92237aea2c1d58556669eb1a2a8f5c7ed5f2b43369268",
      "numeric": {
        "module_on_counts": -1.509765625,
        "module_on_probabilities": -1.544021573388693,
        "probabilities": [
          0.11701481993699715,
          0.07155085143995121,
          0.07155085143995121,
          0.07171567193043196,
          0.051179624592461406,
          0.017962245659021606,
          0.017962245659021606,
          0.08106368934216372,
          0.08106368934216372,
          0.017962245659021606,
          0.017962245659021606,
          0.051179624592461406,
          0.07171567193043196,
          0.07155085143995121,
          0.07155085143995121,
          0.11701481993699715
        ],
        "returned": -1.509765625
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 114,
          "0001": 60,
          "0010": 79,
          "0011": 81,
          "0100": 40,
          "0101": 15,
          "0110": 20,
          "0111": 85,
          "1000": 89,
          "1001": 13,
          "1010": 22,
          "1011": 56,
          "1100": 85,
          "1101": 68,
          "1110": 64,
          "1111": 133
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.359461Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "asymmetric4__p1-b__shots-512.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "asymmetric4__p1-b__shots-512.qasm",
        "qpy": "asymmetric4__p1-b__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.364337Z",
      "id": "asymmetric4/p1-b/shots-512",
      "input_sha256": "c473a1c2746c91dd29bd70e18dce8db8dbb4f2281b3c032bac27168ee28a22a8",
      "numeric": {
        "module_on_counts": -1.677734375,
        "module_on_probabilities": -1.6863427887741944,
        "probabilities": [
          0.13268173959675933,
          0.04408109486316266,
          0.04408109486316266,
          0.017716744777212745,
          0.0867908929293112,
          0.0490981034054239,
          0.0490981034054239,
          0.07645222615954321,
          0.07645222615954321,
          0.0490981034054239,
          0.0490981034054239,
          0.0867908929293112,
          0.017716744777212745,
          0.04408109486316266,
          0.04408109486316266,
          0.13268173959675933
        ],
        "returned": -1.677734375
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 131,
          "0001": 37,
          "0010": 37,
          "0011": 24,
          "0100": 98,
          "0101": 43,
          "0110": 43,
          "0111": 81,
          "1000": 85,
          "1001": 48,
          "1010": 54,
          "1011": 102,
          "1100": 10,
          "1101": 43,
          "1110": 43,
          "1111": 145
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.362269Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "asymmetric4__p1-b__shots-17.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "asymmetric4__p1-b__shots-17.qasm",
        "qpy": "asymmetric4__p1-b__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.367267Z",
      "id": "asymmetric4/p1-b/shots-17",
      "input_sha256": "44c7b709acc93eeefa1bfe1cc9dccdcd5b2bbb7da3923ed587695cd59eecc71b",
      "numeric": {
        "module_on_counts": -1.677734375,
        "module_on_probabilities": -1.6863427887741944,
        "probabilities": [
          0.13268173959675933,
          0.04408109486316266,
          0.04408109486316266,
          0.017716744777212745,
          0.0867908929293112,
          0.0490981034054239,
          0.0490981034054239,
          0.07645222615954321,
          0.07645222615954321,
          0.0490981034054239,
          0.0490981034054239,
          0.0867908929293112,
          0.017716744777212745,
          0.04408109486316266,
          0.04408109486316266,
          0.13268173959675933
        ],
        "returned": -1.677734375
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 131,
          "0001": 37,
          "0010": 37,
          "0011": 24,
          "0100": 98,
          "0101": 43,
          "0110": 43,
          "0111": 81,
          "1000": 85,
          "1001": 48,
          "1010": 54,
          "1011": 102,
          "1100": 10,
          "1101": 43,
          "1110": 43,
          "1111": 145
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.365074Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "asymmetric4__p2__shots-512.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "asymmetric4__p2__shots-512.qasm",
        "qpy": "asymmetric4__p2__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.370210Z",
      "id": "asymmetric4/p2/shots-512",
      "input_sha256": "8c06c7c002ada04d2131a4caf2816446e875e7b39dc77e62c475b49004938147",
      "numeric": {
        "module_on_counts": -2.0751953125,
        "module_on_probabilities": -2.070008921354287,
        "probabilities": [
          0.0213994141037601,
          0.08099658074104067,
          0.08099658074104067,
          0.1115730276221365,
          0.021961323264526364,
          0.059728759786908156,
          0.0597287597869082,
          0.06361555395367897,
          0.06361555395367897,
          0.0597287597869082,
          0.059728759786908156,
          0.021961323264526364,
          0.1115730276221365,
          0.08099658074104067,
          0.08099658074104067,
          0.0213994141037601
        ],
        "returned": -2.0751953125
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 21,
          "0001": 79,
          "0010": 71,
          "0011": 123,
          "0100": 24,
          "0101": 53,
          "0110": 59,
          "0111": 64,
          "1000": 69,
          "1001": 62,
          "1010": 65,
          "1011": 27,
          "1100": 114,
          "1101": 79,
          "1110": 95,
          "1111": 19
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.368015Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            4
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ]
        ],
        "metadata": "asymmetric4__p2__shots-17.circuit.json",
        "num_clbits": 4,
        "num_parameters": 0,
        "num_qubits": 4,
        "qasm": "asymmetric4__p2__shots-17.qasm",
        "qpy": "asymmetric4__p2__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.373511Z",
      "id": "asymmetric4/p2/shots-17",
      "input_sha256": "50d20a5f68c1e06d4d947c142f1ff96f0d6b9f772c0df0257850e0022587ac67",
      "numeric": {
        "module_on_counts": -2.0751953125,
        "module_on_probabilities": -2.070008921354287,
        "probabilities": [
          0.0213994141037601,
          0.08099658074104067,
          0.08099658074104067,
          0.1115730276221365,
          0.021961323264526364,
          0.059728759786908156,
          0.0597287597869082,
          0.06361555395367897,
          0.06361555395367897,
          0.0597287597869082,
          0.059728759786908156,
          0.021961323264526364,
          0.1115730276221365,
          0.08099658074104067,
          0.08099658074104067,
          0.0213994141037601
        ],
        "returned": -2.0751953125
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "0000": 21,
          "0001": 79,
          "0010": 71,
          "0011": 123,
          "0100": 24,
          "0101": 53,
          "0110": 59,
          "0111": 64,
          "1000": 69,
          "1001": 62,
          "1010": 65,
          "1011": 27,
          "1100": 114,
          "1101": 79,
          "1110": 95,
          "1111": 19
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.370999Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            5
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ],
          [
            4,
            4
          ]
        ],
        "metadata": "cycle5__p1-a__shots-512.circuit.json",
        "num_clbits": 5,
        "num_parameters": 0,
        "num_qubits": 5,
        "qasm": "cycle5__p1-a__shots-512.qasm",
        "qpy": "cycle5__p1-a__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.377061Z",
      "id": "cycle5/p1-a/shots-512",
      "input_sha256": "f97f1cbaab27825e6250187b3b1d1c6805f704ccd1f0c4f0885eb3b2516c816b",
      "numeric": {
        "module_on_counts": -2.0234375,
        "module_on_probabilities": -2.0422931873838923,
        "probabilities": [
          0.08214193351800432,
          0.024778728796004693,
          0.024778728796004693,
          0.04024983842759892,
          0.024778728796004693,
          0.018543046072795468,
          0.040249838427598904,
          0.04024983842759892,
          0.024778728796004675,
          0.018543046072795468,
          0.018543046072795468,
          0.01854304607279548,
          0.040249838427598925,
          0.01854304607279548,
          0.040249838427598904,
          0.024778728796004693,
          0.024778728796004693,
          0.040249838427598904,
          0.01854304607279548,
          0.040249838427598925,
          0.01854304607279548,
          0.018543046072795468,
          0.018543046072795468,
          0.024778728796004675,
          0.04024983842759892,
          0.040249838427598904,
          0.018543046072795468,
          0.024778728796004693,
          0.04024983842759892,
          0.024778728796004693,
          0.024778728796004693,
          0.08214193351800432
        ],
        "returned": -2.0234375
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "00000": 81,
          "00001": 22,
          "00010": 27,
          "00011": 33,
          "00100": 17,
          "00101": 17,
          "00110": 47,
          "00111": 50,
          "01000": 27,
          "01001": 17,
          "01010": 16,
          "01011": 17,
          "01100": 36,
          "01101": 18,
          "01110": 37,
          "01111": 32,
          "10000": 29,
          "10001": 42,
          "10010": 21,
          "10011": 40,
          "10100": 21,
          "10101": 23,
          "10110": 17,
          "10111": 30,
          "11000": 44,
          "11001": 38,
          "11010": 20,
          "11011": 23,
          "11100": 37,
          "11101": 24,
          "11110": 27,
          "11111": 94
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.374338Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            5
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ],
          [
            4,
            4
          ]
        ],
        "metadata": "cycle5__p1-a__shots-17.circuit.json",
        "num_clbits": 5,
        "num_parameters": 0,
        "num_qubits": 5,
        "qasm": "cycle5__p1-a__shots-17.qasm",
        "qpy": "cycle5__p1-a__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.380895Z",
      "id": "cycle5/p1-a/shots-17",
      "input_sha256": "82bd560dc7768e2d844bb0e6d03d95df65fe12e6feb77d44ab4446f3e50c976f",
      "numeric": {
        "module_on_counts": -2.0234375,
        "module_on_probabilities": -2.0422931873838923,
        "probabilities": [
          0.08214193351800432,
          0.024778728796004693,
          0.024778728796004693,
          0.04024983842759892,
          0.024778728796004693,
          0.018543046072795468,
          0.040249838427598904,
          0.04024983842759892,
          0.024778728796004675,
          0.018543046072795468,
          0.018543046072795468,
          0.01854304607279548,
          0.040249838427598925,
          0.01854304607279548,
          0.040249838427598904,
          0.024778728796004693,
          0.024778728796004693,
          0.040249838427598904,
          0.01854304607279548,
          0.040249838427598925,
          0.01854304607279548,
          0.018543046072795468,
          0.018543046072795468,
          0.024778728796004675,
          0.04024983842759892,
          0.040249838427598904,
          0.018543046072795468,
          0.024778728796004693,
          0.04024983842759892,
          0.024778728796004693,
          0.024778728796004693,
          0.08214193351800432
        ],
        "returned": -2.0234375
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "00000": 81,
          "00001": 22,
          "00010": 27,
          "00011": 33,
          "00100": 17,
          "00101": 17,
          "00110": 47,
          "00111": 50,
          "01000": 27,
          "01001": 17,
          "01010": 16,
          "01011": 17,
          "01100": 36,
          "01101": 18,
          "01110": 37,
          "01111": 32,
          "10000": 29,
          "10001": 42,
          "10010": 21,
          "10011": 40,
          "10100": 21,
          "10101": 23,
          "10110": 17,
          "10111": 30,
          "11000": 44,
          "11001": 38,
          "11010": 20,
          "11011": 23,
          "11100": 37,
          "11101": 24,
          "11110": 27,
          "11111": 94
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.377932Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            5
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ],
          [
            4,
            4
          ]
        ],
        "metadata": "cycle5__p1-b__shots-512.circuit.json",
        "num_clbits": 5,
        "num_parameters": 0,
        "num_qubits": 5,
        "qasm": "cycle5__p1-b__shots-512.qasm",
        "qpy": "cycle5__p1-b__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.384756Z",
      "id": "cycle5/p1-b/shots-512",
      "input_sha256": "c3f73a72ca79ed97502a85430c27be8abc06c90841254deae282a5650b73b80b",
      "numeric": {
        "module_on_counts": -2.62109375,
        "module_on_probabilities": -2.612593270222463,
        "probabilities": [
          0.055209224631422076,
          0.037447759914292056,
          0.037447759914292056,
          0.009838886722015907,
          0.03744775991429206,
          0.04167150843740751,
          0.00983888672201592,
          0.009838886722015926,
          0.03744775991429206,
          0.04167150843740751,
          0.04167150843740751,
          0.04167150843740751,
          0.00983888672201592,
          0.04167150843740751,
          0.009838886722015924,
          0.037447759914292035,
          0.037447759914292035,
          0.009838886722015924,
          0.04167150843740751,
          0.00983888672201592,
          0.04167150843740751,
          0.04167150843740751,
          0.04167150843740751,
          0.03744775991429206,
          0.009838886722015926,
          0.00983888672201592,
          0.04167150843740751,
          0.03744775991429206,
          0.009838886722015907,
          0.037447759914292056,
          0.037447759914292056,
          0.055209224631422076
        ],
        "returned": -2.62109375
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "00000": 54,
          "00001": 35,
          "00010": 39,
          "00011": 7,
          "00100": 33,
          "00101": 34,
          "00110": 16,
          "00111": 11,
          "01000": 41,
          "01001": 48,
          "01010": 36,
          "01011": 35,
          "01100": 10,
          "01101": 46,
          "01110": 8,
          "01111": 41,
          "10000": 45,
          "10001": 11,
          "10010": 39,
          "10011": 7,
          "10100": 47,
          "10101": 47,
          "10110": 53,
          "10111": 40,
          "11000": 4,
          "11001": 7,
          "11010": 41,
          "11011": 37,
          "11100": 8,
          "11101": 38,
          "11110": 52,
          "11111": 54
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.381824Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            5
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ],
          [
            4,
            4
          ]
        ],
        "metadata": "cycle5__p1-b__shots-17.circuit.json",
        "num_clbits": 5,
        "num_parameters": 0,
        "num_qubits": 5,
        "qasm": "cycle5__p1-b__shots-17.qasm",
        "qpy": "cycle5__p1-b__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.388187Z",
      "id": "cycle5/p1-b/shots-17",
      "input_sha256": "02f3163452f862163df14f4e60bf05ef1b8054ba2e5a050239e9627275656895",
      "numeric": {
        "module_on_counts": -2.62109375,
        "module_on_probabilities": -2.612593270222463,
        "probabilities": [
          0.055209224631422076,
          0.037447759914292056,
          0.037447759914292056,
          0.009838886722015907,
          0.03744775991429206,
          0.04167150843740751,
          0.00983888672201592,
          0.009838886722015926,
          0.03744775991429206,
          0.04167150843740751,
          0.04167150843740751,
          0.04167150843740751,
          0.00983888672201592,
          0.04167150843740751,
          0.009838886722015924,
          0.037447759914292035,
          0.037447759914292035,
          0.009838886722015924,
          0.04167150843740751,
          0.00983888672201592,
          0.04167150843740751,
          0.04167150843740751,
          0.04167150843740751,
          0.03744775991429206,
          0.009838886722015926,
          0.00983888672201592,
          0.04167150843740751,
          0.03744775991429206,
          0.009838886722015907,
          0.037447759914292056,
          0.037447759914292056,
          0.055209224631422076
        ],
        "returned": -2.62109375
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "00000": 54,
          "00001": 35,
          "00010": 39,
          "00011": 7,
          "00100": 33,
          "00101": 34,
          "00110": 16,
          "00111": 11,
          "01000": 41,
          "01001": 48,
          "01010": 36,
          "01011": 35,
          "01100": 10,
          "01101": 46,
          "01110": 8,
          "01111": 41,
          "10000": 45,
          "10001": 11,
          "10010": 39,
          "10011": 7,
          "10100": 47,
          "10101": 47,
          "10110": 53,
          "10111": 40,
          "11000": 4,
          "11001": 7,
          "11010": 41,
          "11011": 37,
          "11100": 8,
          "11101": 38,
          "11110": 52,
          "11111": 54
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.385722Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            5
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ],
          [
            4,
            4
          ]
        ],
        "metadata": "cycle5__p2__shots-512.circuit.json",
        "num_clbits": 5,
        "num_parameters": 0,
        "num_qubits": 5,
        "qasm": "cycle5__p2__shots-512.qasm",
        "qpy": "cycle5__p2__shots-512.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.392648Z",
      "id": "cycle5/p2/shots-512",
      "input_sha256": "a8085140a5ff07050f7aee8ab10981b351b825cd6a4049701473b22c6385abb7",
      "numeric": {
        "module_on_counts": -3.05078125,
        "module_on_probabilities": -3.028195073905924,
        "probabilities": [
          0.029119961367939276,
          0.016450882494322094,
          0.016450882494322094,
          0.020491379263205944,
          0.0164508824943221,
          0.057233745968883996,
          0.02049137926320593,
          0.020491379263205944,
          0.016450882494322094,
          0.057233745968883996,
          0.05723374596888397,
          0.05723374596888397,
          0.020491379263205937,
          0.057233745968884024,
          0.020491379263205954,
          0.01645088249432208,
          0.01645088249432208,
          0.020491379263205954,
          0.057233745968884024,
          0.020491379263205937,
          0.05723374596888397,
          0.05723374596888397,
          0.057233745968883996,
          0.016450882494322094,
          0.020491379263205944,
          0.02049137926320593,
          0.057233745968883996,
          0.0164508824943221,
          0.020491379263205944,
          0.016450882494322094,
          0.016450882494322094,
          0.029119961367939276
        ],
        "returned": -3.05078125
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "00000": 29,
          "00001": 13,
          "00010": 20,
          "00011": 19,
          "00100": 16,
          "00101": 52,
          "00110": 19,
          "00111": 12,
          "01000": 16,
          "01001": 66,
          "01010": 69,
          "01011": 44,
          "01100": 18,
          "01101": 60,
          "01110": 19,
          "01111": 22,
          "10000": 19,
          "10001": 25,
          "10010": 56,
          "10011": 19,
          "10100": 64,
          "10101": 72,
          "10110": 54,
          "10111": 16,
          "11000": 17,
          "11001": 20,
          "11010": 56,
          "11011": 18,
          "11100": 29,
          "11101": 23,
          "11110": 16,
          "11111": 26
        },
        "requested_shots": 512,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.389203Z",
      "state": "completed"
    },
    {
      "circuit": {
        "classical_registers": [
          [
            "meas",
            5
          ]
        ],
        "global_phase": 0.0,
        "layout": null,
        "measurement_map": [
          [
            0,
            0
          ],
          [
            1,
            1
          ],
          [
            2,
            2
          ],
          [
            3,
            3
          ],
          [
            4,
            4
          ]
        ],
        "metadata": "cycle5__p2__shots-17.circuit.json",
        "num_clbits": 5,
        "num_parameters": 0,
        "num_qubits": 5,
        "qasm": "cycle5__p2__shots-17.qasm",
        "qpy": "cycle5__p2__shots-17.qpy"
      },
      "error_ref": null,
      "finished_at": "2026-10-26T01:46:18.396632Z",
      "id": "cycle5/p2/shots-17",
      "input_sha256": "0518eefd156133a6f84afa770855228a0d182b04e4b5d53c1d2d3dcaf8da6c4a",
      "numeric": {
        "module_on_counts": -3.05078125,
        "module_on_probabilities": -3.028195073905924,
        "probabilities": [
          0.029119961367939276,
          0.016450882494322094,
          0.016450882494322094,
          0.020491379263205944,
          0.0164508824943221,
          0.057233745968883996,
          0.02049137926320593,
          0.020491379263205944,
          0.016450882494322094,
          0.057233745968883996,
          0.05723374596888397,
          0.05723374596888397,
          0.020491379263205937,
          0.057233745968884024,
          0.020491379263205954,
          0.01645088249432208,
          0.01645088249432208,
          0.020491379263205954,
          0.057233745968884024,
          0.020491379263205937,
          0.05723374596888397,
          0.05723374596888397,
          0.057233745968883996,
          0.016450882494322094,
          0.020491379263205944,
          0.02049137926320593,
          0.057233745968883996,
          0.0164508824943221,
          0.020491379263205944,
          0.016450882494322094,
          0.016450882494322094,
          0.029119961367939276
        ],
        "returned": -3.05078125
      },
      "reason_code": null,
      "sampling": {
        "backend_class": "qiskit_aer.backends.aer_simulator.AerSimulator",
        "completed_shots": 1024,
        "count_sum": 1024,
        "counts": {
          "00000": 29,
          "00001": 13,
          "00010": 20,
          "00011": 19,
          "00100": 16,
          "00101": 52,
          "00110": 19,
          "00111": 12,
          "01000": 16,
          "01001": 66,
          "01010": 69,
          "01011": 44,
          "01100": 18,
          "01101": 60,
          "01110": 19,
          "01111": 22,
          "10000": 19,
          "10001": 25,
          "10010": 56,
          "10011": 19,
          "10100": 64,
          "10101": 72,
          "10110": 54,
          "10111": 16,
          "11000": 17,
          "11001": 20,
          "11010": 56,
          "11011": 18,
          "11100": 29,
          "11101": 23,
          "11110": 16,
          "11111": 26
        },
        "requested_shots": 17,
        "run_kwargs": {
          "seed_simulator": 10
        }
      },
      "started_at": "2026-10-26T01:46:18.393714Z",
      "state": "completed"
    }
  ],
  "finished_at": "2026-10-26T01:46:18.397727Z",
  "import": {
    "error_ref": null,
    "reason_code": null,
    "state": "completed"
  },
  "module_sha256": "af682e2f23fc08a20cbc38799dda15b5712c11f23b23de059445863bc65f51aa",
  "schema": "qref.qaoa-observations/v1",
  "side": "target",
  "started_at": "2026-10-26T01:46:18.178528Z"
}