{
  "annotation_id": "82fb9047-d8f5-40bc-a295-1626da2a6c3a",
  "date_created": "2026-03-02T18:02:13.073000Z",
  "date_modified": "2026-03-02T18:02:13.073000Z",
  "file_hash": "5f5d4d71ee90bb5cdefc3743e90be06d7da1d8d6447ed9d6ce83c2d4932402f7",
  "private": false,
  "record": {
    "abstract": "We investigate generalized measurements, based on positive-operator-valued\nmeasures, and von Neumann measurements for the unambiguous discrimination of\ntwo mixed quantum states that occur with given prior probabilities. In\nparticular, we derive the conditions under which the failure probability of the\nmeasurement can reach its absolute lower bound, proportional to the fidelity of\nthe states. The optimum measurement strategy yielding the fidelity bound of the\nfailure probability is explicitly determined for a number of cases. One example\ninvolves two density operators of rank d that jointly span a 2d-dimensional\nHilbert space and are related in a special way. We also present an application\nof the results to the problem of unambiguous quantum state comparison,\ngeneralizing the optimum strategy for arbitrary prior probabilities of the\nstates.",
    "arxiv_id": "quant-ph/0502117",
    "authors": [
      "Ulrike Herzog",
      "Janos A. Bergou"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.050301",
    "journal_ref": "Phys. Rev. A 71, 050301(R) (2005)",
    "title": "Optimum unambiguous discrimination of two mixed quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0502117"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "853f7bed-ac15-47aa-8e27-3d183ba18ae3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}