{
  "annotation_id": "7f389146-9188-4885-9671-1ec85f2f32de",
  "date_created": "2026-03-02T18:02:17.084000Z",
  "date_modified": "2026-03-02T18:02:17.084000Z",
  "file_hash": "4a3f7370dacf236646d32c4a47d1a280198a754b5c501c5ecdd217247c86c4c6",
  "private": false,
  "record": {
    "abstract": "Operator quantum error-correction is a technique for robustly storing quantum\ninformation in the presence of noise. It generalizes the standard theory of\nquantum error-correction, and provides a unified framework for topics such as\nquantum error-correction, decoherence-free subspaces, and noiseless subsystems.\nThis paper develops (a) easily applied algebraic and information-theoretic\nconditions which characterize when operator quantum error-correction is\nfeasible; (b) a representation theorem for a class of noise processes which can\nbe corrected using operator quantum error-correction; and (c) generalizations\nof the coherent information and quantum data processing inequality to the\nsetting of operator quantum error-correction.",
    "arxiv_id": "quant-ph/0506069",
    "authors": [
      "Michael A. Nielsen",
      "David Poulin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.064304",
    "journal_ref": "Phys. Rev. A 064304(R) (2007)",
    "title": "Algebraic and information-theoretic conditions for operator quantum   error-correction",
    "url": "https://arxiv.org/abs/quant-ph/0506069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "704e4abc-dea8-4021-aee3-8e9f13f2354b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}