{
  "annotation_id": "31589181-b5e4-4dcd-8047-92f6a75f3827",
  "date_created": "2026-03-02T18:01:59.556000Z",
  "date_modified": "2026-03-02T18:01:59.556000Z",
  "file_hash": "e640828236ce7c71a092b689d677fb32a1affb19992789f2fcebaa4343705cda",
  "private": false,
  "record": {
    "abstract": "The main ideas of quantum error correction are introduced. These are\nencoding, extraction of syndromes, error operators, and code construction. It\nis shown that general noise and relaxation of a set of 2-state quantum systems\ncan always be understood as a combination of Pauli operators acting on the\nsystem. Each quantum error correcting code allows a subset of these errors to\nbe corrected. In many situations the noise is such that the remaining\nuncorrectable errors are unlikely to arise, and hence quantum error correction\nhas a high probability of success. In order to achieve the best noise tolerance\nin the presence of noise and imprecision throughout the computer, a\nhierarchical construction of a quantum computer is proposed.",
    "arxiv_id": "quant-ph/0304016",
    "authors": [
      "A. M. Steane"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "A. Steane in \"Decoherence and its implications in quantum\n  computation and information transfer\", Gonis and Turchi, eds, pp.284-298 (IOS\n  Press, Amsterdam, 2001)",
    "title": "Quantum Computing and Error Correction",
    "url": "https://arxiv.org/abs/quant-ph/0304016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc4d4293-310f-4eac-a232-a8de8830a114",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}