{
  "annotation_id": "a5f2add1-8b06-42c6-a9f9-95977a7f4ae3",
  "date_created": "2026-03-02T18:02:03.542000Z",
  "date_modified": "2026-03-02T18:02:03.542000Z",
  "file_hash": "d6a7c768da8b45f797aaacd4792ec724de12002c888caf7582de7a433033d27d",
  "private": false,
  "record": {
    "abstract": "We determine the universal law for fidelity decayin quantum computations of\ncomplex dynamics in presenceof internal static imperfections in a quantum\ncomputer. Our approach is based on random matrix theory applied toquantum\ncomputations in presence of imperfections.The theoretical predictions are\ntested and confirmed in extensive numerical simulations of a quantum algorithm\nfor quantum chaos in the dynamical tent map with up to 18 qubits. The theory\ndeveloped determines the time scales forreliable quantum computations in\nabsence of the quantum error correction codes. These time scales are related to\nthe Heisenberg time, the Thouless time, and the decay time given by Fermi\u0027s\ngolden rule which are well known in the context of mesoscopic systems. The\ncomparison is presented for static imperfection effects and random errors in\nquantum gates. A new convenientmethod for the quantum computation of the\ncoarse-grained Wigner function is also proposed.",
    "arxiv_id": "quant-ph/0312120",
    "authors": [
      "Klaus M. Frahm",
      "Robert Fleckinger",
      "Dima L. Shepelyansky"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "nlin.CD"
    ],
    "doi": "10.1140/epjd/e2004-00038-x",
    "journal_ref": "European Physical Journal D 29 (2004) 139",
    "title": "Quantum chaos and random matrix theoryfor fidelity decay in quantum   computationswith static imperfections",
    "url": "https://arxiv.org/abs/quant-ph/0312120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b92df17b-bbce-4009-afa5-a347cd10a2a0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}