{
  "id": "0912.5150",
  "version": "v1",
  "published": "2009-12-28T10:20:56.000Z",
  "updated": "2009-12-28T10:20:56.000Z",
  "title": "Cluster-based architecture for fault-tolerant quantum computation",
  "authors": [
    "Keisuke Fujii",
    "Katsuji Yamamoto"
  ],
  "comment": "16 pages, 34 figures",
  "journal": "Phys. Rev. A 81, 042324 (2010)",
  "doi": "10.1103/PhysRevA.81.042324",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We present a detailed description of an architecture for fault-tolerant quantum computation, which is based on the cluster model of encoded qubits. In this cluster-based architecture, concatenated computation is implemented in a quite different way from the usual circuit-based architecture where physical gates are recursively replaced by logical gates with error-correction gadgets. Instead, some relevant cluster states, say fundamental clusters, are recursively constructed through verification and postselection in advance for the higher-level one-way computation, which namely provides error-precorrection of gate operations. A suitable code such as the Steane seven-qubit code is adopted for transversal operations. This concatenated construction of verified fundamental clusters has a simple transversal structure of logical errors, and achieves a high noise threshold ~ 3 % for computation by using appropriate verification procedures. Since the postselection is localized within each fundamental cluster with the help of deterministic bare controlled-Z gates without verification, divergence of resources is restrained, which reconciles postselection with scalability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-28T10:20:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Pp",
      "03.67.Lx"
    ],
    "keywords": [
      "fault-tolerant quantum computation",
      "cluster-based architecture",
      "fundamental cluster",
      "deterministic bare controlled-z gates",
      "appropriate verification procedures"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Apr",
      "volume": 81,
      "number": 4,
      "pages": "042324"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..81d2324F"
    }
  }
}