{
  "annotation_id": "a5352340-dc13-4641-b7cd-d030a46e6463",
  "date_created": "2026-03-02T18:02:20.699000Z",
  "date_modified": "2026-03-02T18:02:20.699000Z",
  "file_hash": "585530843396f433f3274e5143b4be9e2be966a624c665c99ab940dc61f0e1e8",
  "private": false,
  "record": {
    "abstract": "This paper is devoted to systematic study of properties of the quantum\nentropy and of the Holevo capacity considered as a function of a set of quantum\nstates.\n  The properties of restriction of the quantum entropy to arbitrary set of\nstates are discussed. For some types of sets necessary and sufficient\nconditions of boundedness and of continuity of restriction of the quantum\nentropy as well as necessary and sufficient conditions of existence of the\nGibbs state are obtained.\n  The Holevo capacity of an arbitrary set of states and its general properties\nas a function of a set are considered. The notion of the optimal average state\nof an arbitrary set of states with finite Holevo capacity is introduced. The\ncondition of existence of optimal measure for a set of states is obtained.\n  The general results concerning the quantum entropy and the Holevo capacity\nare illustrated by considering the several examples of sets of states.",
    "arxiv_id": "quant-ph/0510073",
    "authors": [
      "M. E. Shirokov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1070/IM2006v070n06ABEH002346",
    "journal_ref": "Izvestiya Mathematics, Vol. 70, No. 6, (2006), 1265--1292, Vol.\n  71, No. 1, (2007), 181--218",
    "title": "Entropic characteristics of subsets of states",
    "url": "https://arxiv.org/abs/quant-ph/0510073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d05cbacf-b236-43f3-8c74-21cda918b319",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}