{
  "annotation_id": "94a7a861-5718-434b-aabd-07838edef73e",
  "date_created": "2026-03-02T18:02:44.481000Z",
  "date_modified": "2026-03-02T18:02:44.481000Z",
  "file_hash": "ffd1cafdc564abdb2f5c3ee7183381114dc2454511268da42269a8528db8fa8a",
  "private": false,
  "record": {
    "abstract": "The mathematical structure of quantum entanglement is studied and classified\nfrom the point of view of quantum compound states. We show that t he\nclassical-quantum correspondences such as encodings can be treated as dia gonal\n(d-) entanglements. The mutual entropy of the d-compound and entangled states\nlead to two different types of entropies for a given quantum state: t he von\nNeumann entropy, which is achieved as the supremum of the information over all\nd-entanglements, and the dimensional entropy, which is achieved at the standard\nentanglement, the true quantum entanglement, coinciding with a d-entanglement\nonly in the case of pure marginal states. The q-capacity of a quantum noiseless\nchannel, defined as the supremum over all entanglements, i s given by the\nlogarithm of the dimensionality of the input algebra. It doub les the classical\ncapacity, achieved as the supremum over all d-entanglement s (encodings), which\nis bounded by the logarithm of the dimensionality of a maximal Abelian\nsubalgebra.",
    "arxiv_id": "quant-ph/9812082",
    "authors": [
      "Viacheslav P Belavkin",
      "Masanori Ohya"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Proc.Roy.Soc.Lond. A458 (2001) 209-232",
    "title": "Quantum entanglements and entangled mutual entropy",
    "url": "https://arxiv.org/abs/quant-ph/9812082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab40816f-d882-4940-abc8-8d23ce0339dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}