{
  "id": "0905.2094",
  "version": "v3",
  "published": "2009-05-13T12:24:08.000Z",
  "updated": "2009-06-24T17:12:08.000Z",
  "title": "The geometric measure of multipartite entanglement and the singular values of a hypermatrix",
  "authors": [
    "Joseph J. Hilling",
    "Anthony Sudbery"
  ],
  "comment": "18 pages. Significant correction made; our results now agree with those of Tamaryan et al",
  "journal": "J. Math. Phys. 51, 072102 (2010)",
  "doi": "10.1063/1.3451264",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is shown that the geometric measure of entanglement of a pure multipartite state satisfies a polynomial equation, generalising the characteristic equation of the matrix of coefficients of a bipartite state. The equation is solved for a class of three-qubit states.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-06-24T17:12:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "02.40.-k",
      "03.65.Fd",
      "03.67.Lx"
    ],
    "keywords": [
      "geometric measure",
      "multipartite entanglement",
      "singular values",
      "hypermatrix",
      "pure multipartite state satisfies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2010,
      "month": "Jul",
      "volume": 51,
      "number": 7,
      "pages": 2102
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JMP....51g2102H"
    }
  }
}