{
  "annotation_id": "34f0edc8-0846-4e96-b632-62ba955249a9",
  "date_created": "2026-03-02T18:01:48.887000Z",
  "date_modified": "2026-03-02T18:01:48.887000Z",
  "file_hash": "debdfc00eb94a74cf2599cdb0e10a1090c95d944e151ad629306c413adc959eb",
  "private": false,
  "record": {
    "abstract": "It is shown that evolution of wave functions in nonintegrable quantum systems\nis unpredictable for a long time T because of rapid growth of number of\nelementary computational operations $\\mathcal O(T)\\sim T^\\alpha$. On the other\nhand, the evolution of wave functions in integrable systems can be predicted by\nthe fast algorithms $\\mathcal O(T)\\sim (log_2 T)^\\beta$ for logarithmically\nshort time and thus there is an algorithmic \"compressibility\" of their\ndynamics. The difference between integrable and nonintegrable systems in our\napproach looks identically for classical and quantum systems. Therefore the\nminimal number of bit operations $\\mathcal O(T)$ needed to predict a state of\nsystem for time interval T can be used as universal sign of chaos.",
    "arxiv_id": "quant-ph/0203019",
    "authors": [
      "I. B. Ivanov"
    ],
    "categories": [
      "quant-ph",
      "cs.CC",
      "nlin.CD"
    ],
    "title": "Unpredictability of wave function\u0027s evolution in nonintegrable quantum   systems",
    "url": "https://arxiv.org/abs/quant-ph/0203019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9fb7f6f5-c8aa-4d6a-99e7-d68cb7913f47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}