{
  "annotation_id": "8ec0205a-a9b8-41d7-9fd8-054450a3620f",
  "date_created": "2026-03-02T18:02:31.145000Z",
  "date_modified": "2026-03-02T18:02:31.145000Z",
  "file_hash": "505c860bc6507a8a7f09af50da27f35a7f2f2f72605e120888778093837a8951",
  "private": false,
  "record": {
    "abstract": "We consider ergodic causal classical-quantum channels (cq-channels) which\nadditionally have a decaying input memory. In the first part we develop some\nstructural properties of ergodic cq-channels and provide equivalent conditions\nfor ergodicity. In the second part we prove the coding theorem with weak\nconverse for causal ergodic cq-channels with decaying input memory. Our proof\nis based on the possibility to introduce joint input-output state for the\ncq-channels and an application of the Shannon-McMillan theorem for ergodic\nquantum states. In the last part of the paper it is shown how this result\nimplies coding theorem for the classical capacity of a class of causal ergodic\nquantum channels.",
    "arxiv_id": "quant-ph/0609229",
    "authors": [
      "Igor Bjelakovic",
      "Holger Boche"
    ],
    "categories": [
      "quant-ph",
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "doi": "10.1109/TIT.2007.913232",
    "journal_ref": "IEEE Transactions on Information Theory Vol. 54, No. 2, pp.\n  723-742, February 2008",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Ergodic Classical-Quantum Channels: Structure and Coding Theorems",
    "url": "https://arxiv.org/abs/quant-ph/0609229"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "37bd1146-114c-43d7-b200-cbd638fafe85",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}