{
  "annotation_id": "8e1b1ede-27cf-4647-810b-f91666c602a7",
  "date_created": "2026-03-02T18:02:13.072000Z",
  "date_modified": "2026-03-02T18:02:13.072000Z",
  "file_hash": "a810768ba3e71c6bde4ab168954f7cc3e158724bb15b5184deb926efb4ffdb70",
  "private": false,
  "record": {
    "abstract": "Recently the problem of Unambiguous State Discrimination (USD) of mixed\nquantum states has attracted much attention. So far, bounds on the optimum\nsuccess probability have been derived [1]. For two mixed states they are given\nin terms of the fidelity. Here we give tighter bounds as well as necessary and\nsufficient conditions for two mixed states to reach these bounds. Moreover we\nconstruct the corresponding optimal measurement strategies. With this result,\nwe provide analytical solutions for unambiguous discrimination of a class of\ngeneric mixed states. This goes beyond known results which are all reducible to\nsome pure state case. Additionally, we show that examples exist where the\nbounds cannot be reached.",
    "arxiv_id": "quant-ph/0502165",
    "authors": [
      "Philippe Raynal",
      "Norbert L\u00fctkenhaus"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.022342",
    "journal_ref": "Phys. Rev. A 72, 022342 (2005)",
    "title": "Optimal Unambiguous State Discrimination of two density matrices and its   link with the Fidelity",
    "url": "https://arxiv.org/abs/quant-ph/0502165"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b8bd3e8d-0954-41dc-a469-519b6dc1df41",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}