{
  "annotation_id": "2e456dba-5678-4415-a17d-925f0e2b1f2c",
  "date_created": "2026-03-02T18:01:52.356000Z",
  "date_modified": "2026-03-02T18:01:52.356000Z",
  "file_hash": "6c37758b53356c3b1430d8c9663b86b871c1428722c5a1787f1d3a4883917f8d",
  "private": false,
  "record": {
    "abstract": "We derive a necessary and sufficient condition for a sequence of quantum\nmeasurements to achieve the optimal performance in quantum hypothesis testing.\nUsing an information-spectrum method, we discuss what quantum measurement we\nshould perform in order to attain the optimal exponent of the second error\nprobability under the condition that the first error probability goes to 0. As\nan asymptotically optimal measurement, we propose a projection measurement\ncharacterized by the irreducible representation theory of the special linear\ngroup SL(H). Specially, in spin 1/2 system, it is realized by the simultaneous\nmeasurement of the total momentum and a momentum of a specified direction. As a\nbyproduct, we obtain another proof of quantum Stein\u0027s lemma.",
    "arxiv_id": "quant-ph/0208020",
    "authors": [
      "Masahito Hayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/50/307",
    "journal_ref": "Journal of Physics A: Mathematical and General, Vol.35, No.50,\n  pp.10759-10773 (2002).",
    "title": "Optimal sequence of quantum measurements in the sense of Stein\u0027s lemma   in quantum hypothesis testing",
    "url": "https://arxiv.org/abs/quant-ph/0208020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7143e94a-d033-4094-997b-754e39c5e921",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}