{
  "id": "0710.3425",
  "version": "v3",
  "published": "2007-10-18T02:02:30.000Z",
  "updated": "2009-01-27T02:58:12.000Z",
  "title": "An entanglement measure for n-qubits",
  "authors": [
    "D. Li",
    "X. Li",
    "H. Huang",
    "X. Li"
  ],
  "comment": "16 pages, no figures",
  "journal": "J. Math. Phys. 50, 012104 (2009)",
  "doi": "10.1063/1.3050298",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Recently, Coffman, Kundu, and Wootters introduced the residual entanglement for three qubits to quantify the three-qubit entanglement in Phys. Rev. A 61, 052306 (2000). In Phys. Rev. A 65, 032304 (2007), we defined the residual entanglement for $n$ qubits, whose values are between 0 and 1. In this paper, we want to show that the residual entanglement for $n$ qubits is a natural measure of entanglement by demonstrating the following properties. (1). It is SL-invariant, especially LU-invariant. (2). It is an entanglement monotone. (3). It is invariant under permutations of the qubits. (4). It vanishes or is multiplicative for product states.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-27T02:58:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "03.67.Mn",
      "03.67.Lx"
    ],
    "keywords": [
      "entanglement measure",
      "residual entanglement",
      "product states",
      "natural measure",
      "entanglement monotone"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2009,
      "month": "Jan",
      "volume": 50,
      "number": 1,
      "pages": 2104
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JMP....50a2104L"
    }
  }
}