{
  "annotation_id": "b7436ee1-778c-417c-adc6-9ed2af5b01b9",
  "date_created": "2026-03-02T18:01:41.423000Z",
  "date_modified": "2026-03-02T18:01:41.423000Z",
  "file_hash": "416f20778aef3d89523a6920961d23750681eee41c50496b4dde4aa98b1a7a17",
  "private": false,
  "record": {
    "abstract": "In this paper we provide an explicit parameterization of arbitrary unitary\ntransformation acting on n qubits, in terms of one and two qubit quantum gates.\nThe construction is based on successive Cartan decompositions of the\nsemi-simple Lie group, SU(2^n). The decomposition highlights the geometric\naspects of building an arbitrary unitary transformation out of quantum gates\nand makes explicit the choice of pulse sequences for the implementation of\narbitrary unitary transformation on $n coupled spins. Finally we make\nobservations on the optimality of the design procedure.",
    "arxiv_id": "quant-ph/0010100",
    "authors": [
      "Navin Khaneja",
      "Steffen Glaser"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Cartan Decomposition of SU(2^n), Constructive Controllability of Spin   systems and Universal Quantum Computing",
    "url": "https://arxiv.org/abs/quant-ph/0010100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "41dd1698-6081-43ad-8515-eae091192106",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}