{
  "annotation_id": "b0043387-531b-47ca-880f-f90737b6ace3",
  "date_created": "2026-03-02T18:02:00.264000Z",
  "date_modified": "2026-03-02T18:02:00.264000Z",
  "file_hash": "7ff04adbd6303bbbcf3cae455abd81bfd818999e5866c8c8c81b6755548b74b8",
  "private": false,
  "record": {
    "abstract": "Let A = {rho_1,...,rho_n} be a given set of quantum states. We consider the\nproblem of finding necessary and sufficient conditions on another set B =\n{sigma_1,...,sigma_n} that guarantee the existence of a physical transformation\ntaking rho_i to sigma_i for all i. Uhlmann has given an elegant such condition\nwhen both sets comprise pure states. We give a simple proof of this condition\nand develop some consequences. Then we consider multi-probabilistic\ntransformations between sets of pure states which leads to conditions for the\nproblem of transformability between A and B when one set is pure and the other\nis arbitrary.",
    "arxiv_id": "quant-ph/0307227",
    "authors": [
      "Anthony Chefles",
      "Richard Jozsa",
      "Andreas Winter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0219749904000031",
    "journal_ref": "Int. J. Quantum Information, vol. 2, no. 1, 11-21 (2004)",
    "title": "On the existence of physical transformations between sets of quantum   states",
    "url": "https://arxiv.org/abs/quant-ph/0307227"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a7761871-f0b8-4263-b960-eced314a2fa8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}