{
  "annotation_id": "69d25070-e41c-49c5-9859-48a0b6c60233",
  "date_created": "2026-03-02T18:02:16.748000Z",
  "date_modified": "2026-03-02T18:02:16.748000Z",
  "file_hash": "60da2e998414740c66025509ea23243334debbd5c39f0bbca009844c68318884",
  "private": false,
  "record": {
    "abstract": "On a family of classical dynamical systems on the 2-torus, we perform a\ndiscretization procedure similar to the Anti-Wick quantization. Such a\ndiscretization is performed by using a particular class of states, fulfilling\nan appropriate dynamical localization property, typical of quantum Coherent\nStates. The same set of states is involved in the construction of a quantum\nentropy, that we test on the discrete approximants; a correspondence with the\nclassical metric entropy of Kolmogorov-Sinai is found only over time scales\nthat are logarithmic in the discretization parameter.",
    "arxiv_id": "quant-ph/0506254",
    "authors": [
      "Valerio Cappellini"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "doi": "10.1088/0305-4470/38/31/003",
    "journal_ref": "J. Phys. A: Math. Gen. 38(31), 6893-6915 (2005)",
    "title": "Quantum dynamical entropies for discrete classical systems: a comparison",
    "url": "https://arxiv.org/abs/quant-ph/0506254"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6f9ccf4a-10b4-4d1d-9031-07fbfab5e68c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}