{
  "id": "quant-ph/0303111",
  "version": "v2",
  "published": "2003-03-18T18:42:57.000Z",
  "updated": "2003-09-26T04:55:13.000Z",
  "title": "Operationally Invariant Measure of the Distance between Quantum States by Complementary Measurements",
  "authors": [
    "Jinhyoung Lee",
    "M. S. Kim",
    "Caslav Brukner"
  ],
  "comment": "4 pages",
  "journal": "Phys. Rev. Lett. 91, 087902 (2003)",
  "doi": "10.1103/PhysRevLett.91.087902",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We propose an operational measure of distance of two quantum states, which conversely tells us their closeness. This is defined as a sum of differences in partial knowledge over a complete set of mutually complementary measurements for the two states. It is shown that the measure is operationally invariant and it is equivalent to the Hilbert-Schmidt distance. The operational measure of distance provides a remarkable interpretation of the information distance between quantum states.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-09-26T04:55:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum states",
      "operationally invariant measure",
      "operational measure",
      "information distance",
      "hilbert-schmidt distance"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}