{
  "id": "1005.3675",
  "version": "v1",
  "published": "2010-05-20T12:14:20.000Z",
  "updated": "2010-05-20T12:14:20.000Z",
  "title": "Degree of separability of bipartite quantum states",
  "authors": [
    "Guo Chuan Thiang"
  ],
  "comment": "11 pages, 7 figures, submitted to PRA",
  "journal": "Phys. Rev. A 82, 012332 (2010)",
  "doi": "10.1103/PhysRevA.82.012332",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We investigate the problem of finding the optimal convex decomposition of a bipartite quantum state into a separable part and a positive remainder, in which the weight of the separable part is maximal. This weight is naturally identified with the degree of separability of the state. In a recent work, the problem was solved for two-qubit states using semidefinite programming. In this paper, we describe a procedure to obtain the optimal decomposition of a bipartite state of any finite dimension via a sequence of semidefinite relaxations. The sequence of decompositions thus obtained is shown to converge to the optimal one. This provides, for the first time, a systematic method to determine the so-called optimal Lewenstein-Sanpera decomposition of any bipartite state. Numerical results are provided to illustrate this procedure, and the special case of rank-2 states is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-20T12:14:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "03.65.Aa"
    ],
    "keywords": [
      "bipartite quantum state",
      "separability",
      "bipartite state",
      "optimal convex decomposition",
      "separable part"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Jul",
      "volume": 82,
      "number": 1,
      "pages": "012332"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..82a2332T"
    }
  }
}