{
  "id": "1003.0726",
  "version": "v2",
  "published": "2010-03-03T05:16:16.000Z",
  "updated": "2010-06-15T01:32:05.000Z",
  "title": "Tight Upper Bound Of The Maximum Speed Of Evolution Of A Quantum State",
  "authors": [
    "H. F. Chau"
  ],
  "comment": "4 pages, 1 figure, minor changes with an additional reference added, to appear in PRA",
  "doi": "10.1103/PhysRevA.81.062133",
  "categories": [
    "quant-ph"
  ],
  "abstract": "I report a tight upper bound of the maximum speed of evolution from one quantum state $\\rho$ to another $\\rho'$ with fidelity $F(\\rho,\\rho')$ less than or equal to an arbitrary but fixed value under the action of a time-independent Hamiltonian. Since the bound is directly proportional to the average absolute deviation from the median of the energy of the state ${\\mathscr D}E$, one may interpret ${\\mathscr D}E$ as a meaningful measure of the maximum information processing capability of a system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-15T01:32:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Xp",
      "03.67.-a",
      "89.70.Eg"
    ],
    "keywords": [
      "tight upper bound",
      "quantum state",
      "average absolute deviation",
      "maximum information processing capability"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Jun",
      "volume": 81,
      "number": 6,
      "pages": "062133"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..81f2133C"
    }
  }
}