{
  "annotation_id": "648d1a77-34fe-4079-96dd-e4fe2e32cb65",
  "date_created": "2026-03-02T18:01:45.584000Z",
  "date_modified": "2026-03-02T18:01:45.584000Z",
  "file_hash": "9fa50c67a052d542ce5b446435b535cff1fd5ff487393ee4af4c8b693ab2240c",
  "private": false,
  "record": {
    "abstract": "We show that the coarse-grained quantum baker\u0027s map exhibits a linear entropy\nincrease at an asymptotic rate given by the Kolmogorov-Sinai entropy of the\nclassical chaotic baker\u0027s map. The starting point of our analysis is a symbolic\nrepresentation of the map on a string of $N$ qubits, i.e., an $N$-bit register\nof a quantum computer. To coarse-grain the quantum evolution, we make use of\nthe decoherent histories formalism. As a byproduct, we show that the condition\nof medium decoherence holds asymptotically for the coarse-grained quantum\nbaker\u0027s map.",
    "arxiv_id": "quant-ph/0107071",
    "authors": [
      "Andrei N. Soklakov",
      "Ruediger Schack"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.66.036212",
    "journal_ref": "Phys. Rev. E 66, 036212 (2002)",
    "title": "Decoherence and linear entropy increase in the quantum baker\u0027s map",
    "url": "https://arxiv.org/abs/quant-ph/0107071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73da76ee-d693-41ec-bb84-ab4b838f201b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}