{
  "annotation_id": "996e5eff-4dd6-4031-8f86-39849d78c62d",
  "date_created": "2026-03-02T18:02:03.539000Z",
  "date_modified": "2026-03-02T18:02:03.539000Z",
  "file_hash": "9cae2fa602514e22d1bb6e351ccc0303fcee26bb37d61c80b189b09220942d2b",
  "private": false,
  "record": {
    "abstract": "We show that in some cases, catalyst-assisted entanglement transformation\ncannot be implemented by multiple-copy transformation for pure states. This\nfact, together with the result we obtained in [R. Y. Duan, Y. Feng, X. Li, and\nM. S. Ying, Phys. Rev. A 71, 042319 (2005)] that the latter can be completely\nimplemented by the former, indicates that catalyst-assisted transformation is\nstrictly more powerful than multiple-copy transformation. For purely\nprobabilistic setting we find, however, these two kinds of transformations are\ngeometrically equivalent in the sense that the sets of pure states which can be\nconverted into a given pure state with maximal probabilities not less than a\ngiven value have the same closure, no matter catalyst-assisted transformation\nor multiple-copy transformation is used.",
    "arxiv_id": "quant-ph/0312110",
    "authors": [
      "Yuan Feng",
      "Runyao Duan",
      "Mingsheng Ying"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.042312",
    "journal_ref": "Phys. Rev. A 74, 042312 (2006)",
    "title": "Relation Between Catalyst-assisted Entanglement Transformation and   Multiple-copy Transformation",
    "url": "https://arxiv.org/abs/quant-ph/0312110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da378f2f-7538-483c-98fd-07151b7e46b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}