{
  "annotation_id": "78b01b2f-18fd-480f-a02d-264497b54310",
  "date_created": "2026-03-02T18:02:00.292000Z",
  "date_modified": "2026-03-02T18:02:00.292000Z",
  "file_hash": "3c3e78ecbe3b14aa2909ac9eae23cd2ba4d70c831639ae29a1aefb04d88557e1",
  "private": false,
  "record": {
    "abstract": "We prove the ergodic version of the quantum Stein\u0027s lemma which was\nconjectured by Hiai and Petz. The result provides an operational and\nstatistical interpretation of the quantum relative entropy as a statistical\nmeasure of distinguishability, and contains as a special case the quantum\nversion of the Shannon-McMillan theorem for ergodic states. A version of the\nquantum relative Asymptotic Equipartition Property (AEP) is given.",
    "arxiv_id": "quant-ph/0306094",
    "authors": [
      "Igor Bjelakovic",
      "Rainer Siegmund-Schultze"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "doi": "10.1007/s00220-004-1054-2",
    "title": "An Ergodic Theorem for the Quantum Relative Entropy",
    "url": "https://arxiv.org/abs/quant-ph/0306094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "706839ae-dfaf-4b4e-ab24-237bc2744af6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}