metadata.json

{
  "id": "phase-flip-code",
  "name": "Phase-Flip Error Correction Code",
  "category": "error-correction",
  "description": "3-qubit code that corrects single phase-flip (Z) errors by encoding in the X basis.",
  "long_description": "The phase-flip code is the dual of the bit-flip code, operating in the X basis. A logical qubit is encoded as \u03b1|+++\u27e9 + \u03b2|---\u27e9 using CNOT + Hadamard. A Z error on any physical qubit flips the X-basis eigenvalue; the syndrome measurement detects and corrects it. This code cannot correct both bit and phase errors \u2014 that requires the Shor or Steane codes.",
  "difficulty": "intermediate",
  "qubit_count": 3,
  "clbit_count": 1,
  "gate_count": 11,
  "depth": 7,
  "tags": [
    "error-correction",
    "phase-flip",
    "x-basis",
    "fault-tolerant"
  ],
  "circuit_formats": [
    "qasm2"
  ],
  "source_file": "circuit.qasm",
  "expected_output": "c[0]=0 (logical |+\u27e9 decoded correctly despite Z 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"
}