{
  "id": "quant-ph/0006087",
  "version": "v3",
  "published": "2000-06-19T20:38:16.000Z",
  "updated": "2002-04-05T13:33:49.000Z",
  "title": "Conceptual Inadequacy of the Shannon Information in Quantum Measurements",
  "authors": [
    "Caslav Brukner",
    "Anton Zeilinger"
  ],
  "comment": "11 pages, 5 figures, important Ref. [6] is now cited in all appropriate places",
  "journal": "Phys.Rev.A63:022113,2001",
  "doi": "10.1103/PhysRevA.63.022113",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In a classical measurement the Shannon information is a natural measure of our ignorance about properties of a system. There, observation removes that ignorance in revealing properties of the system which can be considered to preexist prior to and independent of observation. Because of the completely different root of a quantum measurement as compared to a classical measurement conceptual difficulties arise when we try to define the information gain in a quantum measurement using the notion of Shannon information. The reason is that, in contrast to classical measurement, quantum measurement, with very few exceptions, cannot be claimed to reveal a property of the individual quantum system existing before the measurement is performed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-04-05T13:33:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.-a",
      "03.65.Ta"
    ],
    "keywords": [
      "quantum measurement",
      "shannon information",
      "conceptual inadequacy",
      "classical measurement conceptual difficulties arise",
      "individual quantum system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 807627
    }
  }
}