{
  "id": "0809.1714",
  "version": "v3",
  "published": "2008-09-10T07:59:06.000Z",
  "updated": "2008-11-22T02:34:27.000Z",
  "title": "Heisenberg's uncertainty principle for simultaneous measurement of positive-operator-valued measures",
  "authors": [
    "Takayuki Miyadera",
    "Hideki Imai"
  ],
  "comment": "7 pages, 1 figure. To appear in Phys. Rev. A",
  "journal": "Phys. Rev. A 78, 052119 (2008)",
  "doi": "10.1103/PhysRevA.78.052119",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A limitation on simultaneous measurement of two arbitrary positive operator valued measures is discussed. In general, simultaneous measurement of two noncommutative observables is only approximately possible. Following Werner's formulation, we introduce a distance between observables to quantify an accuracy of measurement. We derive an inequality that relates the achievable accuracy with noncommutativity between two observables. As a byproduct a necessary condition for two positive operator valued measures to be simultaneously measurable is obtained.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-11-22T02:34:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ta",
      "03.67.-a"
    ],
    "keywords": [
      "heisenbergs uncertainty principle",
      "simultaneous measurement",
      "positive-operator-valued measures",
      "observables",
      "arbitrary positive operator valued measures"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2008,
      "month": "Nov",
      "volume": 78,
      "number": 5,
      "pages": "052119"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvA..78e2119M"
    }
  }
}