{
  "annotation_id": "d9ea5479-6b77-40c9-a0ba-7ff9064138c9",
  "date_created": "2026-03-02T18:02:38.141000Z",
  "date_modified": "2026-03-02T18:02:38.141000Z",
  "file_hash": "8eefdd449384e413bab900f2729c427719bdf145caeca2c500118acea48a8e05",
  "private": false,
  "record": {
    "abstract": "We define a large class of quantum sources and prove a quantum analog of the\nasymptotic equipartition property. Our proof relies on using local measurements\non the quantum source to obtain an associated classical source. The classical\nsource provides an upper bound for the dimension of the relevant subspace of\nthe quantum source, via the Shannon-McMillan noiseless coding theorem. Along\nthe way we derive a bound for the von Neumann entropy of the quantum source in\nterms of the Shannon entropy of the classical source, and we provide a\ndefinition of ergodicity of the quantum source. Several explicit models of\nquantum sources are also presented.",
    "arxiv_id": "quant-ph/9511019",
    "authors": [
      "Christopher King",
      "Andrzej Lesniewski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.532309",
    "journal_ref": "J.Math.Phys. 39 (1998) 88-101",
    "title": "Quantum sources and a quantum coding theorem",
    "url": "https://arxiv.org/abs/quant-ph/9511019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca9a074f-5a76-4f51-9326-174e7c7a9d10",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}