{
  "annotation_id": "e51dda3c-b6c8-4b76-b092-8b95a7b5a8fa",
  "date_created": "2026-03-02T18:02:24.188000Z",
  "date_modified": "2026-03-02T18:02:24.188000Z",
  "file_hash": "c940629719c72487ecca20261e221ef2115be2bc4d9a901c6493b3a1da46fad6",
  "private": false,
  "record": {
    "abstract": "Hilbert space operators may be mapped onto a space of ordinary functions\n(operator symbols) equipped with an associative (but noncommutative)\nstar-product. A unified framework for such maps is reviewed. Because of its\nclear probabilistic interpretation, a particular class of operator symbols\n(tomograms) is proposed as a framework for quantum information problems. Qudit\nstates are identified with maps of the unitary group into the simplex. The\nimage of the unitary group on the simplex provides a geometrical\ncharacterization of the nature of the quantum states. Generalized measurements,\ntypical quantum channels, entropies and entropy inequalities are discussed in\nthis setting.",
    "arxiv_id": "quant-ph/0602189",
    "authors": [
      "M. A. Man\u0027ko",
      "V. I. Man\u0027ko",
      "R. Vilela Mendes"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "J. of Russian Laser Research 27 (2006) 507-532",
    "title": "A probabilistic operator symbol framework for quantum information",
    "url": "https://arxiv.org/abs/quant-ph/0602189"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e299fae-11ef-4a1f-a0b6-f44b502db507",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}