{
  "annotation_id": "03635563-15c3-4ecb-a729-2b0d12da646c",
  "date_created": "2026-03-02T18:02:44.593000Z",
  "date_modified": "2026-03-02T18:02:44.593000Z",
  "file_hash": "a11377a33e932fd9de9f7ac152fbc07b6de66b7be5e5615ddf3fdac063de7625",
  "private": false,
  "record": {
    "abstract": "This note will introduce some notation and definitions for information\ntheoretic quantities in the context of quantum systems, such as (conditional)\nentropy and (conditional) mutual information. We will employ the natural\nC*-algebra formalism, and it turns out that one has an allover dualism of\nlanguage: we can define everything for (compatible) observables, but also for\n(compatible) C*-subalgebras. The two approaches are unified in the formalism of\nquantum operations, and they are connected by a very satisfying inequality,\ngeneralizing the well known Holevo bound. Then we turn to communication via\n(discrete memoryless) quantum channels: we formulate the Fano inequality, bound\nthe capacity region of quantum multiway channels, and comment on the quantum\nbroadcast channel.",
    "arxiv_id": "quant-ph/9807008",
    "authors": [
      "Andreas Winter"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Languages of Quantum Information Theory",
    "url": "https://arxiv.org/abs/quant-ph/9807008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8832a6d-1dae-427e-a11c-3329a315d839",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}