{
  "id": "0911.1493",
  "version": "v6",
  "published": "2009-11-08T08:35:16.000Z",
  "updated": "2012-04-19T13:41:09.000Z",
  "title": "Geometric measure of entanglement for pure multipartite states",
  "authors": [
    "Lin Chen",
    "Aimin Xu",
    "Huangjun Zhu"
  ],
  "comment": "A minor error on the explanation of three-qubit GHZ state has been corrected in the fourth paragraph of page 1. Thanks for Martin Aulbach pointing out this error",
  "journal": "Phys. Rev. A 82, 032301 (2010)",
  "doi": "10.1103/PhysRevA.82.032301",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We provide methods for computing the geometric measure of entanglement for two families of pure states with both experimental and theoretical interests: symmetric multiqubit states with non-negative amplitudes in the Dicke basis and symmetric three-qubit states. In addition, we study the geometric measure of pure three-qubit states systematically in virtue of a canonical form of their two-qubit reduced states, and derive analytical formulae for a three-parameter family of three-qubit states. Based on this result, we further show that the W state is the maximally entangled three-qubit state with respect to the geometric measure.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2012-04-19T13:41:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "02.10.Yn",
      "03.65.Ud",
      "03.65.Wj"
    ],
    "keywords": [
      "geometric measure",
      "pure multipartite states",
      "entanglement",
      "symmetric three-qubit states",
      "symmetric multiqubit states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Sep",
      "volume": 82,
      "number": 3,
      "pages": "032301"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..82c2301C"
    }
  }
}