{
  "id": "0909.4443",
  "version": "v3",
  "published": "2009-09-24T13:56:04.000Z",
  "updated": "2011-03-11T11:58:20.000Z",
  "title": "Entanglement and Discord of superposition of Greenberger-Horne-Zeilinger states",
  "authors": [
    "Preeti Parashar",
    "Swapan Rana"
  ],
  "comment": "7 pages (2 columns), 2 figures",
  "journal": "Phys. Rev. A 83, 032301 (2011)",
  "doi": "10.1103/PhysRevA.83.032301",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We calculate the analytic expression for geometric measure of entanglement for arbitrary superposition of two $N$-qubit canonical orthonormal Greenberger-Horne-Zeilinger ($GHZ$) states and the same for two $W$ states. In course of characterizing all kinds of nonclassical correlations, explicit formula for quantum discord (via relative entropy) for the former class of states has been presented. Contrary to the $GHZ$ state, the closest separable state to the $W$ state is not classical. Therefore, in this case the discord is different from the relative entropy of entanglement. We conjecture that the discord for the $N$-qubit $W$ state is $\\log_2N$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-03-11T11:58:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "greenberger-horne-zeilinger states",
      "entanglement",
      "relative entropy",
      "qubit canonical orthonormal greenberger-horne-zeilinger",
      "geometric measure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4443P"
    }
  }
}