{
  "annotation_id": "00c40cc0-2952-47dd-96f7-847d026c914e",
  "date_created": "2026-03-02T18:01:39.142000Z",
  "date_modified": "2026-03-02T18:01:39.142000Z",
  "file_hash": "1ebe092df3a7b8ced533576bcc90fd420d80a4d34067e371b47b49043f559a3e",
  "private": false,
  "record": {
    "abstract": "Holonomic Quantum Computation (HQC) is an all-geometrical approach to quantum\ninformation processing. In the HQC strategy information is encoded in\ndegenerate eigen-spaces of a parametric family of Hamiltonians. The\ncomputational network of unitary quantum gates is realized by driving\nadiabatically the Hamiltonian parameters along loops in a control manifold. By\nproperly designing such loops the non-trivial curvature of the underlying\nbundle geometry gives rise to unitary transformations i.e., holonomies that\nimplement the desired unitary transformations. Conditions necessary for\nuniversal QC are stated in terms of the curvature associated to the non-abelian\ngauge potential (connection) over the control manifold. In view of their\ngeometrical nature the holonomic gates are robust against several kind of\nperturbations and imperfections. This fact along with the adiabatic fashion in\nwhich gates are performed makes in principle HQC an appealing way towards\nuniversal fault-tolerant QC.",
    "arxiv_id": "quant-ph/0007110",
    "authors": [
      "Jiannis Pachos",
      "Paolo Zanardi"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1142/S0217979201004836",
    "journal_ref": "Int.J.Mod.Phys. B15 (2001) 1257-1286",
    "title": "Quantum Holonomies for Quantum Computing",
    "url": "https://arxiv.org/abs/quant-ph/0007110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3a01a70-ffbb-4663-afc7-936b051ecf3b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}