{
  "annotation_id": "448edebf-10a0-40c7-8a17-82d7b3dc40ff",
  "date_created": "2026-03-02T18:01:59.406000Z",
  "date_modified": "2026-03-02T18:01:59.406000Z",
  "file_hash": "54be0e479db64380fd38b5f9867968a857f612d14046b42138207bff97d4bfc8",
  "private": false,
  "record": {
    "abstract": "We show how to determine the maximum and minimum possible values of one\nmeasure of entropy for a given value of another measure of entropy. These\nmaximum and minimum values are obtained for two standard forms of probability\ndistribution (or quantum state) independent of the entropy measures, provided\nthe entropy measures satisfy a concavity/convexity relation. These results may\nbe applied to entropies for classical probability distributions, entropies of\nmixed quantum states and measures of entanglement for pure states.",
    "arxiv_id": "quant-ph/0305059",
    "authors": [
      "Dominic W. Berry",
      "Barry C. Sanders"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/49/008",
    "journal_ref": "J. Phys A: Math. Gen. 36, 12255 (2003)",
    "title": "Bounds on general entropy measures",
    "url": "https://arxiv.org/abs/quant-ph/0305059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "546a6100-adc9-4e70-8ff4-99dc846a4c85",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}