{
  "canonical_url": "https://farpy.com/labs/research/seeded-bell-state-simulator-reproducibility/",
  "citation": "Farpy Research Station. \"Reproducibility of a Seeded Bell-State Measurement Simulator.\" FQR-2026-001, 2026.",
  "classification": "LOCAL_SIMULATOR_RESEARCH",
  "contract": "FARPY-QUANTUM-INTEGRATION-R1",
  "evidence": {
    "base_evidence": "/opt/farpy/quantum-integration-r1/current",
    "circuit_sha256": "d9e4befcdb7f19f161248e7b0267858eca85a781f31a7435bbbfcf04788c9557",
    "kaizen_review": "/opt/farpy/proof/quantum-integration-r1-kaizen-current",
    "receipt_id": "FQIR1-20260729T220616Z",
    "receipt_status": "PASS"
  },
  "finding": [
    "The frozen circuit definition remained identical across the base run and replay.",
    "All 20 seeded run records and runs.csv reproduced byte-for-byte.",
    "All 81,920 simulated measurements were either 00 or 11.",
    "Every run passed the frozen chi-square balance gate.",
    "Circuit definition determinism and measurement randomness are separate properties.",
    "Reproducibility applies only to the frozen implementation, seeds, shot count, and runtime."
  ],
  "fixture": "BELL-PHI-PLUS-V1",
  "implementation": {
    "external_qpu": false,
    "external_quantum_sdk": false,
    "implementation": "Python standard-library seeded ideal measurement simulator",
    "network_execution": false,
    "platform": "Linux-6.8.0-86-generic-x86_64-with-glibc2.39",
    "python_version": "3.12.3"
  },
  "limitations": [
    "The simulator implements only the frozen Bell Phi-plus fixture.",
    "The simulator is an ideal seeded classical emulation of quantum measurement probabilities.",
    "The chi-square gate checks gross balance failure, not physical quantum fidelity.",
    "No density matrix, noise channel, tomography, entanglement witness, or hardware calibration was evaluated.",
    "No physical QPU or external provider was used.",
    "No quantum advantage or production readiness is established."
  ],
  "method": {
    "balance_gate": "Each run must satisfy chi-square < 10.827566 with df=1 and alpha=0.001.",
    "operations": [
      {
        "gate": "H",
        "target": 0
      },
      {
        "control": 0,
        "gate": "CX",
        "target": 1
      },
      {
        "classical_bits": [
          0,
          1
        ],
        "gate": "MEASURE",
        "qubits": [
          0,
          1
        ]
      }
    ],
    "overall_gate": "All 20 runs must pass support and balance gates.",
    "qubits": 2,
    "runs": 20,
    "seed_range": [
      20260730,
      20260749
    ],
    "shots_per_run": 4096,
    "support_gate": "Every shot must be 00 or 11.",
    "total_shots": 81920
  },
  "not_proven": [
    "Physical entanglement.",
    "Physical quantum hardware behavior.",
    "Quantum fidelity.",
    "Noise tolerance.",
    "Quantum advantage.",
    "External provider integration.",
    "Production quantum service readiness."
  ],
  "publication_status": {
    "approved_for_public": true,
    "production_capability": false,
    "public": true
  },
  "report_id": "FQR-2026-001",
  "research_question": "Can a frozen, seeded local simulator reproduce the measurement records of a two-qubit Bell Phi-plus fixture while preserving the distinction between deterministic circuit definition and probabilistic measurement outcomes?",
  "results": {
    "forbidden_outcomes": 0,
    "maximum_proportion_00": 0.51806640625,
    "mean_proportion_00": 0.50186767578125,
    "minimum_proportion_00": 0.484130859375,
    "population_stddev_proportion_00": 0.008084806280203916,
    "runs_passing": 20,
    "runs_total": 20,
    "stable_files_reproduced": 22,
    "stable_files_total": 22
  },
  "schema": "farpy.quantum.research-report.v1",
  "status": "PUBLISHED_LOCAL_SIMULATOR_RESEARCH",
  "title": "Reproducibility of a Seeded Bell-State Measurement Simulator"
}