{
  "annotation_id": "f3cf1c8a-e145-430e-86d3-fc74e9e21d2a",
  "date_created": "2026-03-02T18:01:55.592000Z",
  "date_modified": "2026-03-02T18:01:55.592000Z",
  "file_hash": "ad847497907937de59202539e6791cd598752d80e354798619a3875c4bf282f0",
  "private": false,
  "record": {
    "abstract": "The Kullback-Leibler divergence offers an information-theoretic basis for\nmeasuring the difference between two given distributions. Its quantum analog,\nhowever, fails to play a corresponding role for comparing two density matrices,\nif the reference states are pure states. Here, it is shown that nonadditive\n(nonextensive) generalization of quantum information theory is free from such a\ndifficulty and the associated quantity, termed the quantum q-divergence, can in\nfact be a good information-theoretic measure of the degree of purification. The\ncorrespondence relation between the ordinary divergence and the q-divergence is\nviolated for the pure reference states, in general.",
    "arxiv_id": "quant-ph/0301136",
    "authors": [
      "Sumiyoshi Abe"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevA.68.032302",
    "title": "Nonadditive generalization of the quantum Kullback-Leibler divergence   for measuring the degree of purification",
    "url": "https://arxiv.org/abs/quant-ph/0301136"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3d6f3e1-caff-49fb-b928-ab5448dd7b3d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}