{
  "annotation_id": "6c1de54c-1ccb-4a06-a041-9521e6210c77",
  "date_created": "2026-03-02T18:02:37.405000Z",
  "date_modified": "2026-03-02T18:02:37.405000Z",
  "file_hash": "646101237612e3a0d7a15712ffaf74568b1fa7be4344578d814e35999deade50",
  "private": false,
  "record": {
    "abstract": "Methods of finding good quantum error correcting codes are discussed, and\nmany example codes are presented. The recipe C_2^{\\perp} \\subseteq C_1, where\nC_1 and C_2 are classical codes, is used to obtain codes for up to 16\ninformation qubits with correction of small numbers of errors. The results are\ntabulated. More efficient codes are obtained by allowing C_1 to have reduced\ndistance, and introducing sign changes among the code words in a systematic\nmanner. This systematic approach leads to single-error correcting codes for 3,\n4 and 5 information qubits with block lengths of 8, 10 and 11 qubits\nrespectively.",
    "arxiv_id": "quant-ph/9605021",
    "authors": [
      "Andrew Steane"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.54.4741",
    "journal_ref": "Phys.Rev.A54:4741,1996",
    "title": "Simple Quantum Error Correcting Codes",
    "url": "https://arxiv.org/abs/quant-ph/9605021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7f73b6a6-1d4c-403b-b4cb-59834aaaedab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}