{
  "annotation_id": "dec72af3-6ab3-44fc-927a-d346ee001618",
  "date_created": "2026-03-02T18:02:20.025000Z",
  "date_modified": "2026-03-02T18:02:20.025000Z",
  "file_hash": "c1a7cb51cb2dc6cd10e715378a3393e21ca1a6792870db1917d6489a0d1117e7",
  "private": false,
  "record": {
    "abstract": "Quantum relative entropy $D(\\rho\\|\\sigma)\\defeq\\Tr \\rho (\\log \\rho- \\log\n\\sigma)$ plays an important role in quantum information and related fields.\nHowever, there are many quantum analogues of relative entropy. In this paper,\nwe characterize these analogues from information geometrical viewpoint. We also\nconsider the naturalness of quantum relative entropy among these analogues.",
    "arxiv_id": "quant-ph/0510181",
    "authors": [
      "Masahito Hayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Information and Computation, Vol. 6, 583-596 (2006);",
    "title": "Characterization of several kinds of quantum analogues of relative   entropy",
    "url": "https://arxiv.org/abs/quant-ph/0510181"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cab16e1b-f053-4a5c-9085-028450409e68",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}