{
  "annotation_id": "0f5ea11c-bb68-4ffe-b5e1-75ff0f10ae9a",
  "date_created": "2026-03-02T18:01:52.627000Z",
  "date_modified": "2026-03-02T18:01:52.627000Z",
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  "record": {
    "abstract": "Monotonicity under coarse-graining is a crucial property of the quantum\nrelative entropy. The aim of this paper is to investigate the condition of\nequality in the monotonicity theorem and in its consequences such as the strong\nsub-additivity of the von Neumann entropy, the Golden-Thompson trace inequality\nand the monotonicity of the Holevo quantity.The relation to quantum Markovian\nstates is briefly indicated.",
    "arxiv_id": "quant-ph/0209053",
    "authors": [
      "D. Petz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0129055X03001576",
    "journal_ref": "Rev. Math. Phys. 15(2003), 79--91.",
    "title": "Monotonicity of quantum relative entropy revisited",
    "url": "https://arxiv.org/abs/quant-ph/0209053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e64b513c-990d-45db-9f91-a336604baeaf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}