{
  "annotation_id": "d1ee9894-2b69-4c52-b00c-66949c99055a",
  "date_created": "2026-03-02T18:01:45.511000Z",
  "date_modified": "2026-03-02T18:01:45.511000Z",
  "file_hash": "cf65be936ad9cfdf910415dc5d86328bf39f6868ead5d8244bd03b07876a9691",
  "private": false,
  "record": {
    "abstract": "We generalize the concept of the Wehrl entropy of quantum states which gives\na basis-independent measure of their localization in phase space. We discuss\nthe minimal values and the typical values of these R{enyi-Wehrl entropies for\npure states for spin systems. According to Lieb\u0027s conjecture the minimal values\nare provided by the spin coherent states. Though Lieb\u0027s conjecture remains\nunproven, we give new proofs of partial results that may be generalized for\nother systems. We also investigate random pure states and calculate the mean\nRenyi-Wehrl entropies averaged over the natural measure in the space of pure\nquantum states.",
    "arxiv_id": "quant-ph/0106016",
    "authors": [
      "Sven Gnutzmann",
      "Karol Zyczkowski"
    ],
    "categories": [
      "quant-ph",
      "nlin.CD"
    ],
    "doi": "10.1088/0305-4470/34/47/317",
    "journal_ref": "J. Phys. A: Math. Gen. 34, p. 10123-10139 (2001)",
    "title": "Renyi-Wehrl entropies as measures of localization in phase space",
    "url": "https://arxiv.org/abs/quant-ph/0106016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4b2caf98-a46b-4733-ae65-ee0f4a0884b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}