{
  "annotation_id": "7a66bd4a-907e-4881-ac92-8affbaf12bf6",
  "date_created": "2026-03-02T18:02:20.527000Z",
  "date_modified": "2026-03-02T18:02:20.527000Z",
  "file_hash": "698f88478abcc75fd46e8b533c33f644db7f8b7c453fa197d9513c7ade519211",
  "private": false,
  "record": {
    "abstract": "I give an overview of the basic concepts behind quantum error correction and\nquantum fault tolerance. This includes the quantum error correction conditions,\nstabilizer codes, CSS codes, transversal gates, fault-tolerant error\ncorrection, and the threshold theorem.",
    "arxiv_id": "quant-ph/0507174",
    "authors": [
      "Daniel Gottesman"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G. L.\n  Naber and S. T. Tsou, Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), vol.\n  4, pp. 196-201",
    "title": "Quantum Error Correction and Fault-Tolerance",
    "url": "https://arxiv.org/abs/quant-ph/0507174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "639b6131-f9ee-40bf-9f2f-403b3d521be7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}