{
  "annotation_id": "fee9aff8-2767-4447-8ac5-ebf2f89663a7",
  "date_created": "2026-03-02T18:02:37.946000Z",
  "date_modified": "2026-03-02T18:02:37.946000Z",
  "file_hash": "e214f217bb0c09581172efd247e2e9a94012ace2c21cde2221e10afbb48554e0",
  "private": false,
  "record": {
    "abstract": "We exhibit a simple, systematic procedure for detecting and correcting errors\nusing any of the recently reported quantum error-correcting codes. The\nprocedure is shown explicitly for a code in which one qubit is mapped into\nfive. The quantum networks obtained are fault tolerant, that is, they can\nfunction successfully even if errors occur during the error correction. Our\nconstruction is derived using a recently introduced group-theoretic framework\nfor unifying all known quantum codes.",
    "arxiv_id": "quant-ph/9605031",
    "authors": [
      "David P. DiVincenzo",
      "Peter W. Shor"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.77.3260",
    "title": "Fault-Tolerant Error Correction with Efficient Quantum Codes",
    "url": "https://arxiv.org/abs/quant-ph/9605031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a3b65bd-5021-437a-a2a2-cfbda4946bcc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}