{
  "annotation_id": "374863b8-dccf-415b-8a6a-7f8f1dad1082",
  "date_created": "2026-03-02T18:02:20.426000Z",
  "date_modified": "2026-03-02T18:02:20.426000Z",
  "file_hash": "94700f5135999c2bfc0215edd5512a1085cc7ceadc33a961c41d0e98c188b13b",
  "private": false,
  "record": {
    "abstract": "From statistical distinguishability of probability distributions, one can\ndefine distinguishability of quantum states. A corresponding measurement to\nperform, optimal in a definite sense, for distinguishing between two given\nstates rho_A and rho_B, has been derived by Fuchs and Caves. We show that the\nBures-Uhlmann geodesic through the two states singles out this measurement. The\ngeodesic `bounces\u0027 at the boundary of the set of quantum states. Whenever the\ngeodesic hits the boundary, the state orthogonal to that boundary state is one\nof the basis states for the measurement.",
    "arxiv_id": "quant-ph/0508133",
    "authors": [
      "Asa Ericsson"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/44/L01",
    "journal_ref": "J. Phys. A: Math. Gen. 38 (2005) L725-L730",
    "title": "Geodesics and the best measurement for distinguishing quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0508133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "80b0ba60-727d-46f6-ae54-c4c03b570b47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}