{
  "id": "quant-ph/0605198",
  "version": "v1",
  "published": "2006-05-23T14:15:55.000Z",
  "updated": "2006-05-23T14:15:55.000Z",
  "title": "Universal Quantum Computation with Continuous-Variable Cluster States",
  "authors": [
    "Nicolas C. Menicucci",
    "Peter van Loock",
    "Mile Gu",
    "Christian Weedbrook",
    "Timothy C. Ralph",
    "Michael A. Nielsen"
  ],
  "comment": "4 pages, no figures",
  "journal": "Phys. Rev. Lett. 97, 110501 (2006)",
  "doi": "10.1103/PhysRevLett.97.110501",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We describe a generalization of the cluster-state model of quantum computation to continuous-variable systems, along with a proposal for an optical implementation using squeezed-light sources, linear optics, and homodyne detection. For universal quantum computation, a nonlinear element is required. This can be satisfied by adding to the toolbox any single-mode non-Gaussian measurement, while the initial cluster state itself remains Gaussian. Homodyne detection alone suffices to perform an arbitrary multi-mode Gaussian transformation via the cluster state. We also propose an experiment to demonstrate cluster-based error reduction when implementing Gaussian operations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-23T14:15:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universal quantum computation",
      "continuous-variable cluster states",
      "homodyne detection",
      "arbitrary multi-mode gaussian transformation",
      "single-mode non-gaussian measurement"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}