{
  "annotation_id": "b4860e2c-e5f1-4246-b5c9-f10cf425d436",
  "date_created": "2026-03-02T18:01:52.990000Z",
  "date_modified": "2026-03-02T18:01:52.990000Z",
  "file_hash": "606fdde6fe312f77c334dc57e781e609e3f551a101562a75720c5289f0b81218",
  "private": false,
  "record": {
    "abstract": "We investigate the transition to quantum chaos, induced by static\nimperfections, for an operating quantum computer that simulates efficiently a\ndynamical quantum system, the sawtooth map. For the different dynamical regimes\nof the map, we discuss the quantum chaos border induced by static imperfections\nby analyzing the statistical properties of the quantum computer eigenvalues.\nFor small imperfection strengths the level spacing statistics is close to the\ncase of quasi-integrable systems while above the border it is described by the\nrandom matrix theory. We have found that the border drops exponentially with\nthe number of qubits, both in the ergodic and quasi-integrable dynamical\nregimes of the map characterized by a complex phase space structure. On the\ncontrary, the regime with integrable map dynamics remains more stable against\nstatic imperfections since in this case the border drops only algebraically\nwith the number of qubits.",
    "arxiv_id": "quant-ph/0206130",
    "authors": [
      "G. Benenti",
      "G. Casati",
      "S. Montangero",
      "D. L. Shepelyansky"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "nlin.CD"
    ],
    "doi": "10.1140/epjd/e2002-00241-9",
    "journal_ref": "Eur. Phys. J. D 22, 285 (2003)",
    "title": "Statistical properties of eigenvalues for an operating quantum computer   with static imperfections",
    "url": "https://arxiv.org/abs/quant-ph/0206130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4ac06c00-228d-45be-807c-1519d6024103",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}