{
  "annotation_id": "18dcc696-e407-4bd5-b39f-26df4f856506",
  "date_created": "2026-03-02T18:01:42.198000Z",
  "date_modified": "2026-03-02T18:01:42.198000Z",
  "file_hash": "0abf670ab95ceeb02e77071c9242e7e9cc48c0e53b53ff109ae82f5c4fa269a8",
  "private": false,
  "record": {
    "abstract": "Quantum error avoiding codes are constructed by exploiting a geometric\ninterpretation of the algebra of measurements of an open quantum system. The\nnotion of a generalized Dirac operator is introduced and used to naturally\nconstruct families of decoherence free subspaces for the encoding of quantum\ninformation. The members of the family are connected to each other by the\ndiscrete Morita equivalences of the algebra of observables, which render\npossible several choices of noiseless code in which to perform quantum\ncomputation. The construction is applied to various examples of discrete and\ncontinuous quantum systems.",
    "arxiv_id": "quant-ph/0011021",
    "authors": [
      "David D. Song",
      "Richard J. Szabo"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Duality and Decoherence Free Subspaces",
    "url": "https://arxiv.org/abs/quant-ph/0011021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db90066f-5974-46c6-b8a3-4d37d1485fe5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}