{
  "annotation_id": "50a07cdb-64bf-4bad-811f-d9e79b17c993",
  "date_created": "2026-03-02T18:02:23.623000Z",
  "date_modified": "2026-03-02T18:02:23.623000Z",
  "file_hash": "8c9a71d41fb8681063271cb055fb5de1ac0c24e1aee4801ef351f26aa398b7f9",
  "private": false,
  "record": {
    "abstract": "We consider a nontrivial class of infinite dimensional quantum channels\ncharacterized by finiteness of the Holevo capacity. Some general properties of\nchannels of this class are described. In particular, a special sufficient\ncondition of existence of an optimal measure is obtained and examples of\nchannels with no optimal measure are constructed.\n  It is shown that each channel with finite Holevo capacity has a natural\nextension to the set of all positive normalized functionals on the algebra of\nall bounded operators. General properties of such an extension are described.\n  The class of infinite dimensional channels, for which the Holevo capacity can\nbe explicitly determined, is considered.",
    "arxiv_id": "quant-ph/0602073",
    "authors": [
      "M. E. Shirokov"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Theory of Probability and its Applications, Vol. 53, No. 4,\n  (2008), 732-750",
    "title": "On channels with finite Holevo capacity",
    "url": "https://arxiv.org/abs/quant-ph/0602073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4814afac-0ca4-4da6-b221-4355b736b059",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}