{
  "ok": true,
  "route": "/api/cirq-bell-pair",
  "ts": "2026-10-28T03:19:20.642Z",
  "draft_circuit": {
    "name": "Bell Pair (Φ⁺)",
    "qubits": [
      "q(0)",
      "q(1)"
    ],
    "gates": [
      {
        "step": 0,
        "gate": "H",
        "target": "q(0)",
        "control": null
      },
      {
        "step": 1,
        "gate": "CNOT",
        "target": "q(1)",
        "control": "q(0)"
      },
      {
        "step": 2,
        "gate": "M",
        "target": [
          "q(0)",
          "q(1)"
        ],
        "key": "m"
      }
    ],
    "diagram": "0: ───H───@───M('m')───\n          │\n1: ───────X───M('m')───"
  },
  "ideal_verification": {
    "state": "Φ⁺ (phi-plus Bell state)",
    "shots": 1000,
    "counts": {
      "10": 0,
      "11": 474,
      "00": 526,
      "01": 0
    },
    "fidelity": 1,
    "entangled": true,
    "separable": false,
    "entropy_ebits": 1,
    "governance": {
      "data_qubit_id": "ab2cd88ee59acea1",
      "gov_qubit_id": "7e5e32a1700d1bcb",
      "note": "Data and governance qubits entangled at Bell. Cannot read data without governance."
    }
  },
  "amplitude_map": {
    "state_label": "|Φ⁺⟩",
    "state_vector": [
      {
        "basis": "|00⟩",
        "amplitude": 0.7071067811865476,
        "probability": 0.5000000000000001
      },
      {
        "basis": "|01⟩",
        "amplitude": 0,
        "probability": 0
      },
      {
        "basis": "|10⟩",
        "amplitude": 0,
        "probability": 0
      },
      {
        "basis": "|11⟩",
        "amplitude": 0.7071067811865476,
        "probability": 0.5000000000000001
      }
    ],
    "note": "Amplitudes are real-valued (no phase) for the canonical Φ⁺ state.",
    "graph_hint": {
      "type": "bar",
      "x_axis": "Basis state",
      "y_axis": "|amplitude|²",
      "non_zero_bars": [
        "|00⟩",
        "|11⟩"
      ],
      "expected_height": 0.5
    }
  },
  "authority": "Joshua Lopez — DCGP.AI",
  "patent": "USPTO 19/555,951"
}