{
  "annotation_id": "0ee01060-12c2-417b-81d8-dc7dbc2241df",
  "date_created": "2026-03-02T18:01:49.454000Z",
  "date_modified": "2026-03-02T18:01:49.454000Z",
  "file_hash": "7e5d010ab0d188cfebe51feb22c9a5e102e780ee166fb2b3589d2cf7165629c7",
  "private": false,
  "record": {
    "abstract": "A measurement strategy is developed for a new kind of hypothesis testing. It\nassigns, with minimum probability of error, the state of a quantum system to\none or the other of two complementary subsets of a set of N given\nnon-orthogonal quantum states occurring with given a priori probabilities. A\ngeneral analytical solution is obtained for N states that are restricted to a\ntwo-dimensional subspace of the Hilbert space of the system. The result for the\nspecial case of three arbitrary but linearly dependent states is applied to a\nvariety of sets of three states that are symmetric and equally probable. It is\nfound that, in this case, the minimum error probability for distinguishing one\nof the states from the other two is only about half as large as the minimum\nerror probability for distinguishing all three states individually.",
    "arxiv_id": "quant-ph/0112171",
    "authors": [
      "Ulrike Herzog",
      "Janos A. Bergou"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.050305",
    "title": "Minimum-error discrimination between subsets of linearly dependent   quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0112171"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "78d980ca-2978-4b11-9767-c59722bb9cd1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}