{
  "id": "0904.2143",
  "version": "v2",
  "published": "2009-04-14T15:35:19.000Z",
  "updated": "2009-08-20T09:02:26.000Z",
  "title": "Scheme for fault-tolerant holonomic computation on stabilizer codes",
  "authors": [
    "Ognyan Oreshkov",
    "Todd A. Brun",
    "Daniel A. Lidar"
  ],
  "comment": "22 pages",
  "journal": "Phys. Rev. A 80, 022325 (2009)",
  "doi": "10.1103/PhysRevA.80.022325",
  "categories": [
    "quant-ph"
  ],
  "abstract": "This paper generalizes and expands upon the work [Phys. Rev. Lett. 102, 070502 (2009)] where we introduced a scheme for fault-tolerant holonomic quantum computation (HQC) on stabilizer codes. HQC is an all-geometric strategy based on non-Abelian adiabatic holonomies, which is known to be robust against various types of errors in the control parameters. The scheme we present shows that HQC is a scalable method of computation, and opens the possibility for combining the benefits of error correction with the inherent resilience of the holonomic approach. We show that with the Bacon-Shor code the scheme can be implemented using Hamiltonian operators of weight 2 and 3.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-20T09:02:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Pp",
      "03.65.Vf"
    ],
    "keywords": [
      "fault-tolerant holonomic computation",
      "stabilizer codes",
      "fault-tolerant holonomic quantum computation",
      "non-abelian adiabatic holonomies",
      "control parameters"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2009,
      "month": "Aug",
      "volume": 80,
      "number": 2,
      "pages": "022325"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvA..80b2325O"
    }
  }
}