{
  "id": "quant-ph/9904011",
  "version": "v3",
  "published": "1999-04-02T17:24:45.000Z",
  "updated": "1999-11-15T18:27:52.000Z",
  "title": "Holonomic Quantum Computation",
  "authors": [
    "Paolo Zanardi",
    "Mario Rasetti"
  ],
  "comment": "Presentation improved, accepted by Phys. Lett. A, 5 pages LaTeX, no figures",
  "journal": "Phys.Lett. A264 (1999) 94-99",
  "doi": "10.1016/S0375-9601(99)00803-8",
  "categories": [
    "quant-ph",
    "hep-th"
  ],
  "abstract": "We show that the notion of generalized Berry phase i.e., non-abelian holonomy, can be used for enabling quantum computation. The computational space is realized by a $n$-fold degenerate eigenspace of a family of Hamiltonians parametrized by a manifold $\\cal M$. The point of $\\cal M$ represents classical configuration of control fields and, for multi-partite systems, couplings between subsystem. Adiabatic loops in the control $\\cal M$ induce non trivial unitary transformations on the computational space. For a generic system it is shown that this mechanism allows for universal quantum computation by composing a generic pair of loops in $\\cal M.$",
  "revisions": [
    {
      "version": "v3",
      "updated": "1999-11-15T18:27:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holonomic quantum computation",
      "induce non trivial unitary transformations",
      "computational space",
      "fold degenerate eigenspace",
      "universal quantum computation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 497769
    }
  }
}