{
  "annotation_id": "74daed44-69d4-4dd6-9b75-6c735af8d004",
  "date_created": "2026-03-02T18:02:06.340000Z",
  "date_modified": "2026-03-02T18:02:06.340000Z",
  "file_hash": "eb003037451d285cca9a054d59cf0645a00ff3d00a9f0864f7af0655b3091652",
  "private": false,
  "record": {
    "abstract": "The applications of geometric control theory methods on Lie groups and\nhomogeneous spaces to the theory of quantum computations are investigated.\nThese methods are shown to be very useful for the problem of constructing an\nuniversal set of gates for quantum computations: the well-known result that the\nset of all one-bit gates together with almost any one two-bit gate is universal\nis considered from the control theory viewpoint.",
    "arxiv_id": "quant-ph/0404050",
    "authors": [
      "Zakaria Giunashvili"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Geometric Control Methods for Quantum Computations",
    "url": "https://arxiv.org/abs/quant-ph/0404050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "40355c10-6dad-45b3-aa32-b2cac3318fcf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}