{
  "annotation_id": "7aad6ec1-5a4e-422a-b719-1057ba9833f2",
  "date_created": "2026-03-02T18:02:03.251000Z",
  "date_modified": "2026-03-02T18:02:03.251000Z",
  "file_hash": "8e9b75fa176a1b07cf1ce8886067198f2be14a90d7ee8f1b45c3ee2f6b7ef4b5",
  "private": false,
  "record": {
    "abstract": "We demonstrate that multiple copies of a bipartite entangled pure state may\nserve as a catalyst for certain entanglement transformations while a single\ncopy cannot. Such a state is termed a \"multiple-copy catalyst\" for the\ntransformations. A trade-off between the number of copies of source state and\nthat of the catalyst is also observed. These results can be generalized to\nprobabilistic entanglement transformations directly.",
    "arxiv_id": "quant-ph/0312010",
    "authors": [
      "Runyao Duan",
      "Yuan Feng",
      "Xin Li",
      "Mingsheng Ying"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.062306",
    "journal_ref": "Phys. Rev. A 71, 062306 (2005)",
    "title": "Trade-off between multiple-copy transformation and entanglement   catalysis",
    "url": "https://arxiv.org/abs/quant-ph/0312010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2345bebf-c7f4-439e-9d2a-0860a0fc65fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}