{
  "annotation_id": "1ad91728-68ea-49cb-a32f-3f92e6129436",
  "date_created": "2026-03-02T18:02:16.793000Z",
  "date_modified": "2026-03-02T18:02:16.793000Z",
  "file_hash": "db02cc348c993f1e47f5f91d63d2895b7f527c6ba6e8b3319f9ff2e486aa9444",
  "private": false,
  "record": {
    "abstract": "In this work we study several models of decoherence and how different quantum\nmaps and algorithms react when perturbed by them. Following closely Ref. [1],\ngeneralizations of the three paradigmatic one single qubit quantum channels\n(these are the depolarizing channel, the phase damping channel and the\namplitude damping channel) for the case of an arbitrarily-sized\nfinite-dimensional Hilbert space are presented, as well as other types of noise\nin phase space. More specifically, Grover\u0027s search algorithm\u0027s response to\ndecoherence is analyzed; together with those of a family of quantum versions of\nchaotic and regular classical maps (the baker\u0027s map and the cat maps). A\nrelationship between how sensitive to decoherence a quantum map is and the\ndegree of complexity in the dynamics of its associated classical counterpart is\nobserved; resulting in a clear tendency to react the more decoherently the more\ncomplex the associated classical dynamics is.",
    "arxiv_id": "quant-ph/0504211",
    "authors": [
      "Mario Leandro Aolita",
      "Marcos Saraceno"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Decoherence models and their effects on quantum maps and algorithms",
    "url": "https://arxiv.org/abs/quant-ph/0504211"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5577cdd0-5255-4f3b-b75b-c650e104f400",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}