{
  "annotation_id": "bb583b0c-e39a-4c0b-b91b-8f295b3159a9",
  "date_created": "2026-03-02T18:02:06.999000Z",
  "date_modified": "2026-03-02T18:02:06.999000Z",
  "file_hash": "2e8937c6c8661ea9ea0c0514cc7023dfc637b6c8ae745ecf46f2f7e0b71fc2ce",
  "private": false,
  "record": {
    "abstract": "We determine all $2\\times 2$ quantum states that can serve as useful\ncatalysts for a given probabilistic entanglement transformation, in the sense\nthat they can increase the maximal transformation probability. When\nhigher-dimensional catalysts are considered, a sufficient and necessary\ncondition is derived under which a certain probabilistic transformation has\nuseful catalysts.",
    "arxiv_id": "quant-ph/0403170",
    "authors": [
      "Yuan Feng",
      "Runyao Duan",
      "Mingsheng Ying"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.062310",
    "journal_ref": "Phys. Rev. A 69, 062310 (2004)",
    "title": "When Catalysis is Useful for Probabilistic Entanglement Transformation",
    "url": "https://arxiv.org/abs/quant-ph/0403170"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "867794ea-efe3-4fa4-a38a-b32ae916e1ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}