{
  "id": "quant-ph/0105090",
  "version": "v5",
  "published": "2001-05-18T18:13:59.000Z",
  "updated": "2003-05-30T12:22:50.000Z",
  "title": "Normal forms and entanglement measures for multipartite quantum states",
  "authors": [
    "Frank Verstraete",
    "Jeroen Dehaene",
    "Bart De Moor"
  ],
  "comment": "Proof of uniqueness of normal form added",
  "journal": "Phys. Rev. A 68, 012103 (2003)",
  "doi": "10.1103/PhysRevA.68.012103",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A general mathematical framework is presented to describe local equivalence classes of multipartite quantum states under the action of local unitary and local filtering operations. This yields multipartite generalizations of the singular value decomposition. The analysis naturally leads to the introduction of entanglement measures quantifying the multipartite entanglement (as generalizations of the concurrence and the 3-tangle), and the optimal local filtering operations maximizing these entanglement monotones are obtained. Moreover a natural extension of the definition of GHZ-states to e.g. $2\\times 2\\times N$ systems is obtained.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2003-05-30T12:22:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multipartite quantum states",
      "entanglement measures",
      "normal forms",
      "local filtering operations maximizing",
      "optimal local filtering operations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}