{
  "annotation_id": "e2ac58d6-144d-49e8-ab56-468c6eea40a6",
  "date_created": "2026-03-02T18:02:12.707000Z",
  "date_modified": "2026-03-02T18:02:12.707000Z",
  "file_hash": "73f7c6077b8795af724445251ddd532a81a2f9e29a94ee0e26dab9fc7189447e",
  "private": false,
  "record": {
    "abstract": "General quantum measurements are represented by instruments. In this paper\nthe mathematical formalization is given of the idea that an instrument is a\nchannel which accepts a quantum state as input and produces a probability and\nan a posteriori state as output. Then, by using mutual entropies on von Neumann\nalgebras and the identification of instruments and channels, many old and new\ninformational inequalities are obtained in a unified manner. Such inequalities\ninvolve various quantities which characterize the performances of the\ninstrument under study; in particular, these inequalities include and\ngeneralize the famous Holevo\u0027s bound.",
    "arxiv_id": "quant-ph/0412116",
    "authors": [
      "Alberto Barchielli",
      "Giancarlo Lupieri"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Banach Center Publications 73 (2006) 65-80",
    "title": "Instruments and mutual entropies in quantum information",
    "url": "https://arxiv.org/abs/quant-ph/0412116"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "831b3bb1-d446-4fa0-b237-8347ba4c4fa2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}