{
  "annotation_id": "2f73bdb9-cb89-4150-9e45-064760f55b69",
  "date_created": "2026-03-02T18:02:06.631000Z",
  "date_modified": "2026-03-02T18:02:06.631000Z",
  "file_hash": "a6f6943ac4b1a62d80ffacd4744b733d8dac87d513719f676de28cc20bf540e3",
  "private": false,
  "record": {
    "abstract": "We discuss the simulation of a complex dynamical system, the so-called\nquantum sawtooth map model, on a quantum computer. We show that a quantum\ncomputer can be used to efficiently extract relevant physical information for\nthis model. It is possible to simulate the dynamical localization of classical\nchaos and extract the localization length of the system with quadratic speed up\nwith respect to any known classical computation. We can also compute with\nalgebraic speed up the diffusion coefficient and the diffusion exponent both in\nthe regimes of Brownian and anomalous diffusion. Finally, we show that it is\npossible to extract the fidelity of the quantum motion, which measures the\nstability of the system under perturbations, with exponential speed up.",
    "arxiv_id": "quant-ph/0402010",
    "authors": [
      "Giuliano Benenti",
      "Giulio Casati",
      "Simone Montangero"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "nlin.CD"
    ],
    "doi": "10.1007/s11128-004-0415-2",
    "journal_ref": "Quantum Information Processing 3, 273 (2004)",
    "title": "Quantum computing and information extraction for a dynamical quantum   system",
    "url": "https://arxiv.org/abs/quant-ph/0402010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6972d828-237f-4399-8e88-ce8707da67d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}