{
  "id": "0910.1365",
  "version": "v2",
  "published": "2009-10-07T20:50:02.000Z",
  "updated": "2010-02-18T08:24:25.000Z",
  "title": "On the Geometric Measures of Entanglement",
  "authors": [
    "K. Uyanik",
    "S. Turgut"
  ],
  "comment": "7 pages, 1 figures, minor content change, references added, 1 figure added",
  "journal": "Phys. Rev. A 81, 032306 (2010)",
  "doi": "10.1103/PhysRevA.81.032306",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The geometric measure of entanglement, which expresses the minimum distance to product states, has been generalized to distances to sets that remain invariant under the stochastic reducibility relation. For each such set, an associated entanglement monotone can be defined. The explicit analytical forms of these measures are obtained for bipartite entangled states. Moreover, the three qubit case is discussed and argued that the distance to the W states is a new monotone.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-18T08:24:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "03.65.Ud"
    ],
    "keywords": [
      "geometric measure",
      "stochastic reducibility relation",
      "associated entanglement monotone",
      "remain invariant",
      "product states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Mar",
      "volume": 81,
      "number": 3,
      "pages": "032306"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..81c2306U"
    }
  }
}