{
  "annotation_id": "7bb4f1b7-daa7-4274-a999-16707fbd7914",
  "date_created": "2026-03-02T18:02:24.009000Z",
  "date_modified": "2026-03-02T18:02:24.009000Z",
  "file_hash": "a8f4a52a07fb459d57f49a680ade6cf1d6a04782350779d1eedd974ccf8d1375",
  "private": false,
  "record": {
    "abstract": "We introduce the general catalysts for pure entanglement transformations\nunder local operations and classical communications in such a way that we\ndisregard the profit and loss of entanglement of the catalysts per se. As such,\nthe possibilities of pure entanglement transformations are greatly expanded.\nRemarkably, we find an interesting phenomenon that, in some situations,\nincomparable pairs ${| \\psi\u003e ,| \\phi\u003e \\} $ and ${| \\chi\u003e ,| \\chi^{\\prime}\u003e \\} $\ncan assist each other mutually so as to realize the transformation $| \\psi\u003e |\n\\chi\u003e \\to| \\phi\u003e | \\chi^{\\prime}\u003e$. We also design an efficient algorithm to\ndetect whether a $k\\times k$ general catalyst exists for a given entanglement\ntransformation. This algorithm can as well be exploited to witness the\nexistence of standard catalysts.",
    "arxiv_id": "quant-ph/0603085",
    "authors": [
      "Wei Song",
      "Yan Huang",
      "Nai-Le Liu",
      "Zeng-Bing Chen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/4/014",
    "journal_ref": "J.Phys.A:Math.Gen.40,785-792(2007)",
    "title": "General entanglement-assisted transformation for bipartite pure quantum   states",
    "url": "https://arxiv.org/abs/quant-ph/0603085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1c49b8e7-843d-4160-86af-3218cd03ba95",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}