{
  "annotation_id": "6367ed08-0b32-4f1b-b8dc-2cb4369c4665",
  "date_created": "2026-03-02T18:02:48.054000Z",
  "date_modified": "2026-03-02T18:02:48.054000Z",
  "file_hash": "a2c7bab2bf8d3d0cd5e717f86cfca50ac4ebafd191fc1429698b66ca58fd9e41",
  "private": false,
  "record": {
    "abstract": "The hypothesis testing problem of two quantum states is treated. We show a\nnew inequality between the error of the first kind and the second kind, which\ncomplements the result of Hiai and Petz to establish the quantum version of\nStein\u0027s lemma. The inequality is also used to show a bound on the first kind\nerror when the power exponent for the second kind error exceeds the quantum\nrelative entropy, and the bound yields the strong converse in the quantum\nhypothesis testing. Finally, we discuss the relation between the bound and the\npower exponent derived by Han and Kobayashi in the classical hypothesis\ntesting.",
    "arxiv_id": "quant-ph/9906090",
    "authors": [
      "Tomohiro Ogawa",
      "Hiroshi Nagaoka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/9789812563071_0003",
    "title": "Strong Converse and Stein\u0027s Lemma in the Quantum Hypothesis Testing",
    "url": "https://arxiv.org/abs/quant-ph/9906090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ee782c5a-d372-4534-ba4b-76346329ed53",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}