{
  "annotation_id": "7000d76b-a9e6-4ae4-8965-8d48cbd1ba61",
  "date_created": "2026-03-02T18:02:06.454000Z",
  "date_modified": "2026-03-02T18:02:06.454000Z",
  "file_hash": "720ba56cbfbb636dc6ce2bd477c345b753d064080385c4d26d9e36f9efe04cef",
  "private": false,
  "record": {
    "abstract": "We demonstrate quantum algorithms to implement pseudo-random operators that\nclosely reproduce statistical properties of random matrices from the three\nuniversal classes: unitary, symmetric, and symplectic. Modified versions of the\nalgorithms are introduced for the less experimentally challenging quantum\ncellular automata. For implementing pseudo-random symplectic operators we\nprovide gate sequences for the unitary part of the time-reversal operator.",
    "arxiv_id": "quant-ph/0402157",
    "authors": [
      "Yaakov S. Weinstein",
      "C. Stephen Hellberg"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.014303",
    "journal_ref": "Phys. Rev. A, 71, 014303, (2005).",
    "title": "Pseudo-random operators of the circular ensembles",
    "url": "https://arxiv.org/abs/quant-ph/0402157"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e19288e-8c97-4349-8b07-b0ffbeb6e79b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}