{
  "id": "quant-ph/0110045",
  "version": "v2",
  "published": "2001-10-08T09:48:31.000Z",
  "updated": "2002-12-19T01:21:05.000Z",
  "title": "A Necessary And Sufficient Condition of Distillability with unite fidelity from Finite Copies of a Mixed State: The Most Efficient Purification Protocol",
  "authors": [
    "Ping-Xing Chen",
    "Lin-Mei Liang",
    "Cheng-Zu Li",
    "Ming-Qiu Huang"
  ],
  "comment": "a revised version",
  "journal": "Phys. Rev.A 66, (2002) 022309",
  "doi": "10.1103/PhysRevA.66.022309",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is well known that any entangled mixed state in $2\\otimes 2$ systems can be purified via infinite copies of the mixed state. But can one distill a pure maximally entangled state from finite copies of a mixed state in any bipartite system by local operation and classical communication? This is more meaningful in practical application. We give a necessary and sufficient condition of this distillability. This condition can be expressed as: there exists distillable-subspaces. According to this condition, one can judge whether a mixed state is distillable or not easily. We also analyze some properties of distillable-subspaces, and discuss the most efficient purification protocols. Finally, we discuss the distillable enanglement of two-quibt system for the case of finite copies.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-12-19T01:21:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mixed state",
      "efficient purification protocol",
      "sufficient condition",
      "unite fidelity",
      "distillability"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}