{
  "annotation_id": "6e9af1d2-a21b-49a2-90d5-c71e1b3f2ece",
  "date_created": "2026-03-02T18:02:06.984000Z",
  "date_modified": "2026-03-02T18:02:06.984000Z",
  "file_hash": "64a101ababf786f35ca7ab16a356fa53e20554cea56e1297b794068a8dc55393",
  "private": false,
  "record": {
    "abstract": "Certain trace inequalities related to matrix logarithm are shown.\n  These results enable us to give a partial answer of the open problem\nconjectured by A.S.Holevo.\n  That is, concavity of the auxiliary function which appears in the random\ncoding exponent as the lower bound of the quantum reliability function for\ngeneral quantum states is proven in the case of $0\\leq s\\leq 1$.",
    "arxiv_id": "quant-ph/0403187",
    "authors": [
      "Kenjiro Yanagi",
      "Shigeru Furuichi",
      "Ken Kuriyama"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Linear Algebra and its Applications, Volume 395, 15 January 2005,\n  Pages 351-359",
    "title": "On trace inequalities and their applications to noncommutative   communication theory",
    "url": "https://arxiv.org/abs/quant-ph/0403187"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a286263d-702f-422f-8091-8c14b71b4885",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}