{
  "annotation_id": "fbb5b7dc-225c-4451-bb40-40cea3a30bdb",
  "date_created": "2026-03-02T18:01:38.916000Z",
  "date_modified": "2026-03-02T18:01:38.916000Z",
  "file_hash": "29ea6188aad5ade79c6920cdebe1221ce8dbb89615a41e31de45b5c035050bdc",
  "private": false,
  "record": {
    "abstract": "Quantum entanglements, describing truly quantum couplings, are stu died and\nclassified from the point of view of quantum compound states. We show that c\nlassical-quantum correspondences such as quantum encodings can be treated as\nd-entanglements leading to a special class of the separable compound states.\nThe mutual information of the d-compound and entangled states lead to two di\nfferent types of entropies for a given quantum state: the von Neumann entrop y,\nwhich is achieved as the supremum of the information over all d-entanglem ents,\nand the dimensional entropy, which is achieved at the standard entangl ement,\nthe true quantum entanglement, coinciding with a d-entanglement only in the\ncommutative case. The q-capacity of a quantum noiseless channel, defi ned as\nthe supremum over all entanglements, is given as the logarithm of the\ndimensionality of the input von Neumann algebra. It can double the classical\ncapacity, achieved as the supremum over all semi-quantum couplings (d-entang\nlements, or encodings), which is bounded by the logarithm of the dimensional\nity of a maximal Abelian subalgebra.",
    "arxiv_id": "quant-ph/0004069",
    "authors": [
      "Viacheslav P Belavkin",
      "Masanori Ohya"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Entanglements and compound states in quantum information theory",
    "url": "https://arxiv.org/abs/quant-ph/0004069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6c86bd5f-d5e4-4740-a0eb-44762bdb2c23",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}