{
  "id": "0810.2020",
  "version": "v1",
  "published": "2008-10-11T11:42:47.000Z",
  "updated": "2008-10-11T11:42:47.000Z",
  "title": "Volume of Separable States for Arbitrary $N$-dimensional System",
  "authors": [
    "Dong-Ling Deng",
    "Jing-Ling Chen"
  ],
  "comment": "3 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In a celebrated paper ([Phys. Rev. A 58, 883 (1998)]), K. Zyczkowski, P. Horodecki, A. Sanpera,and M. Lewenstein proved for the frst time a very interesting theorem that the volume of separable quantum states is nonzero. Inspired by their ideas, we obtain a general analytical lower bound of the volume of separable states (VOSS) for arbitrary N-dimensional system. Our results give quite simple and computable suffcient conditions for separability. Moreover, for bipartite system, an upper bound of the VOSS is also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-11T11:42:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "separable states",
      "arbitrary n-dimensional system",
      "general analytical lower bound",
      "computable suffcient conditions",
      "quite simple"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.2020D"
    }
  }
}