metadata.json

{
  "id": "bit-flip-code",
  "name": "Bit-Flip Error Correction Code",
  "category": "error-correction",
  "description": "3-qubit repetition code that encodes 1 logical qubit and corrects single bit-flip (X) errors.",
  "long_description": "The 3-qubit bit-flip code encodes a logical qubit |\u03c8\u27e9_L = \u03b1|0\u27e9_L + \u03b2|1\u27e9_L into the physical state \u03b1|000\u27e9 + \u03b2|111\u27e9. If any single qubit undergoes a bit-flip (X error), the syndrome measurement identifies the faulty qubit and a correction is applied. This circuit encodes the initial state, applies a simulated error on q[1], then performs syndrome-based majority-vote correction.",
  "difficulty": "intermediate",
  "qubit_count": 3,
  "clbit_count": 1,
  "gate_count": 8,
  "depth": 6,
  "tags": [
    "error-correction",
    "bit-flip",
    "repetition-code",
    "fault-tolerant"
  ],
  "circuit_formats": [
    "qasm2"
  ],
  "source_file": "circuit.qasm",
  "expected_output": "c[0]=0 (logical |+\u27e9 decoded correctly despite X error on q[1])",
  "references": [
    {
      "title": "Nielsen & Chuang: Quantum Computation and Quantum Information, \u00a710.1",
      "url": "https://doi.org/10.1017/CBO9780511976667"
    }
  ],
  "author": "OpenQC Community",
  "license": "MIT",
  "version": "1.0.0"
}