{
  "annotation_id": "329dc342-ce46-40c7-8407-e3d593937b48",
  "date_created": "2026-03-02T18:02:27.506000Z",
  "date_modified": "2026-03-02T18:02:27.506000Z",
  "file_hash": "f1f57b3d458b2ec1fb94ce03e6b8464a9a7a68fcbbe2c046a5e9de1819ed9fd6",
  "private": false,
  "record": {
    "abstract": "Just as any state of a single qubit or 2-level system can be obtained from\nany other state by a rotation operator parametrized by three real Euler angles,\nwe show how any state of an n-qubit or 2^n-level system can be obtained from\nany other by a compact unitary transformation with 2^(n+1)-1 real angles, 2^n\nof which are azimuthal-like and the rest polar-like. The results follow from a\nmodeling of the Hilbert space of n-qubits by a minimal left ideal of an\nassociative algebra. This representation is expected to be useful in the design\nof new compact control techniques or more efficient algorithms in quantum\ncomputing.",
    "arxiv_id": "quant-ph/0606019",
    "authors": [
      "W. E. Baylis",
      "R. Cabrera",
      "C. Rangan"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Control and Representation of n-qubit Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/0606019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "febe2828-04d1-4978-93ee-c4054b137c1c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}