{
  "annotation_id": "9f7a92fe-4edb-4b40-ac54-40b24e37c3de",
  "date_created": "2026-03-02T18:01:59.533000Z",
  "date_modified": "2026-03-02T18:01:59.533000Z",
  "file_hash": "d60b8e9f2a7e5fd20aca30380c85a5d41dca656e1ce77ddb65c4e2d7b708fd72",
  "private": false,
  "record": {
    "abstract": "We propose to quantify the entanglement of pure states of $N \\times N$\nbipartite quantum system by defining its Husimi distribution with respect to\n$SU(N)\\times SU(N)$ coherent states. The Wehrl entropy is minimal if and only\nif the pure state analyzed is separable. The excess of the Wehrl entropy is\nshown to be equal to the subentropy of the mixed state obtained by partial\ntrace of the bipartite pure state. This quantity, as well as the generalized\n(R{\\\u0027e}nyi) subentropies, are proved to be Schur--convex, so they are\nentanglement monotones and may be used as alternative measures of entanglement.",
    "arxiv_id": "quant-ph/0307169",
    "authors": [
      "Florian Mintert",
      "Karol Zyczkowski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.022317",
    "journal_ref": "PRA 69, 022317 (2004)",
    "title": "Wehrl entropy, Lieb conjecture and entanglement monotones",
    "url": "https://arxiv.org/abs/quant-ph/0307169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3abb512e-19ba-46df-84e9-6952c308555c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}