{
  "annotation_id": "a9afacfa-9527-4f44-bdd3-214fc719c95f",
  "date_created": "2026-03-02T18:01:45.191000Z",
  "date_modified": "2026-03-02T18:01:45.191000Z",
  "file_hash": "ce9da77fe10c92d869739d4b5aa7bbacaf7c8daaacc0f9ca257623a5d6daf190",
  "private": false,
  "record": {
    "abstract": "It is well known that any entangled mixed state in $2\\otimes 2$ systems can\nbe purified via infinite copies of the mixed state. But can one distill a pure\nmaximally entangled state from finite copies of a mixed state in any bipartite\nsystem by local operation and classical communication? This is more meaningful\nin practical application. We give a necessary and sufficient condition of this\ndistillability. This condition can be expressed as: there exists\ndistillable-subspaces. According to this condition, one can judge whether a\nmixed state is distillable or not easily. We also analyze some properties of\ndistillable-subspaces, and discuss the most efficient purification protocols.\nFinally, we discuss the distillable enanglement of two-quibt system for the\ncase of finite copies.",
    "arxiv_id": "quant-ph/0110045",
    "authors": [
      "Ping-Xing Chen",
      "Lin-Mei Liang",
      "Cheng-Zu Li",
      "Ming-Qiu Huang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.66.022309",
    "journal_ref": "Phys. Rev.A 66, (2002) 022309",
    "title": "A Necessary And Sufficient Condition of Distillability with unite   fidelity from Finite Copies of a Mixed State: The Most Efficient Purification   Protocol",
    "url": "https://arxiv.org/abs/quant-ph/0110045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e21d0dc-30d4-441d-bb6f-1609a74ad29f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}