{
  "annotation_id": "4f4beb0a-21fd-48cb-b884-1fdb44d8b774",
  "date_created": "2026-03-02T18:01:42.599000Z",
  "date_modified": "2026-03-02T18:01:42.599000Z",
  "file_hash": "de5ac5fc26fc26b8c4677762728a1b4d2dee9f875d8e63c2d1cff6bf1354071d",
  "private": false,
  "record": {
    "abstract": "The fidelity of two pure states (also known as transition probability) is a\nsymmetric function of two operators, and well-founded operationally as an event\nprobability in a certain preparation-test pair. Motivated by the idea that the\nfidelity is the continuous quantum extension of the combinatorial equality\nfunction, we enquire whether there exists a symmetric operational way of\nobtaining the fidelity. It is shown that this is impossible. Finally, we\ndiscuss the optimal universal approximation by a quantum operation.",
    "arxiv_id": "quant-ph/0011053",
    "authors": [
      "Andreas Winter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/35/333",
    "journal_ref": "J. Phys. A: Math. Gen., vol. 34(35), pp 7095-7101, 2001.",
    "title": "On the fidelity of two pure states",
    "url": "https://arxiv.org/abs/quant-ph/0011053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b804f481-912b-4180-b594-f237d8ba7f3c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}