{
  "annotation_id": "b292cd96-ef07-4bf4-ba51-2a8a97afa9d1",
  "date_created": "2026-03-02T18:01:59.812000Z",
  "date_modified": "2026-03-02T18:01:59.812000Z",
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  "record": {
    "abstract": "Two non-commutative dynamical entropies are studied in connection with the\nclassical limit. For systems with a strongly chaotic classical limit, the\nKolmogorov-Sinai invariant is recovered on time scales that are logarithmic in\nthe quantisation parameter. The model of the quantised hyperbolic automorphisms\nof the 2-torus is examined in detail.",
    "arxiv_id": "quant-ph/0308069",
    "authors": [
      "F. Benatti",
      "V. Cappellini",
      "M. De Cock",
      "M. Fannes",
      "D. Vanpeteghem"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0129055X03001837",
    "journal_ref": "Rev. Math. Phys., Vol. 15 Num. 8 (October 2003) 847-875",
    "title": "Classical Limit of Quantum Dynamical Entropies",
    "url": "https://arxiv.org/abs/quant-ph/0308069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9fc58854-665b-4058-add8-625d1fb76846",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}