{
  "annotation_id": "0a0226b4-bf8b-4531-a8ad-07dde733c134",
  "date_created": "2026-03-02T18:02:41.532000Z",
  "date_modified": "2026-03-02T18:02:41.532000Z",
  "file_hash": "9a585227e0f8d28e69676890daee1508714cda34bd965a2e75a9ddaaf569a8bb",
  "private": false,
  "record": {
    "abstract": "We present relaxed criteria for quantum error correction which are useful\nwhen the specific dominant noise process is known. These criteria have no\nclassical analogue. As an example, we provide a four-bit code which corrects\nfor a single amplitude damping error. This code violates the usual Hamming\nbound calculated for a Pauli description of the error process, and does not fit\ninto the GF(4) classification.",
    "arxiv_id": "quant-ph/9704002",
    "authors": [
      "D. W. Leung",
      "M. A. Nielsen",
      "I. L. Chuang",
      "Y. Yamamoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.56.2567",
    "journal_ref": "Phys.Rev.A56:2567-2573,1997",
    "title": "Approximate quantum error correction can lead to better codes",
    "url": "https://arxiv.org/abs/quant-ph/9704002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cf302028-aaa7-47eb-92ad-116e54ff02d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}