{
  "annotation_id": "8e6f13c7-3ef2-434d-bb05-27a3d059a212",
  "date_created": "2026-03-02T18:01:59.407000Z",
  "date_modified": "2026-03-02T18:01:59.407000Z",
  "file_hash": "a8e7f7c44f2662d5ed79dd5fd45b7b4d7207c0ceb20b72fd508a7c6dfb5ddce1",
  "private": false,
  "record": {
    "abstract": "Relations between Shannon entropy and Renyi entropies of integer order are\ndiscussed. For any N-point discrete probability distribution for which the\nRenyi entropies of order two and three are known, we provide an lower and an\nupper bound for the Shannon entropy. The average of both bounds provide an\nexplicit extrapolation for this quantity. These results imply relations between\nthe von Neumann entropy of a mixed quantum state, its linear entropy and\ntraces.",
    "arxiv_id": "quant-ph/0305062",
    "authors": [
      "Karol Zyczkowski"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Open Syst. Inf. Dyn. 10, 297-310 (2003)",
    "title": "Renyi extrapolation of Shannon entropy",
    "url": "https://arxiv.org/abs/quant-ph/0305062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "426cac41-d5d4-4c0c-aa1b-bbe181d723c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}