{
  "annotation_id": "6a1b8c30-5d93-473b-b21d-10586c5b6fa0",
  "date_created": "2026-03-02T18:02:45.146000Z",
  "date_modified": "2026-03-02T18:02:45.146000Z",
  "file_hash": "4f8e713032d8142e00a0496556734f374f4989c82262afe8fb881e7b41783519",
  "private": false,
  "record": {
    "abstract": "We consider the problem of a state determination for a two-level quantum\nsystem which can be in one of two nonorthogonal mixed states. It is proved that\nfor the two independent identical systems the optimal combined measurement\n(which considers the pair as one system) cannot be less optimal than the\ncorresponding sequential one (local measurements, accompanying by transfer of\nclassical information). The case of equality is achieved only when the mixed\nstates have the same eigenvalues or the same eigenvectors. Further, we consider\na case then the two systems are entangled: measurement of one system induces a\nreduction of the another one\u0027s state. The conclusion about optimal character of\ncombined measurement takes place again, and conditions where the\nabove-mentioned methods coincide are derived.",
    "arxiv_id": "quant-ph/9810057",
    "authors": [
      "A. E. Allahverdyan",
      "D. B. Saakian"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "About optimal measurements in quantum hypothesizes testing",
    "url": "https://arxiv.org/abs/quant-ph/9810057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e2ba8ee7-621f-43de-b696-7e8d84c2408b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}