{
  "id": "1202.1852",
  "version": "v2",
  "published": "2012-02-08T22:52:39.000Z",
  "updated": "2012-04-30T16:46:16.000Z",
  "title": "Strong Resilience of Topological Codes to Depolarization",
  "authors": [
    "H. Bombin",
    "Ruben S. Andrist",
    "Masayuki Ohzeki",
    "Helmut G. Katzgraber",
    "M. A. Martin-Delgado"
  ],
  "comment": "10 pages, 6 figures, 1 table - see Physics Viewpoint by D. Gottesman [http://physics.aps.org/articles/v5/50]",
  "journal": "Phys. Rev. X 2, 021004 (2012)",
  "doi": "10.1103/PhysRevX.2.021004",
  "categories": [
    "quant-ph",
    "cond-mat.dis-nn"
  ],
  "abstract": "The inevitable presence of decoherence effects in systems suitable for quantum computation necessitates effective error-correction schemes to protect information from noise. We compute the stability of the toric code to depolarization by mapping the quantum problem onto a classical disordered eight-vertex Ising model. By studying the stability of the related ferromagnetic phase both via large-scale Monte Carlo simulations and via the duality method, we are able to demonstrate an increased error threshold of 18.9(3)% when noise correlations are taken into account. Remarkably, this agrees within error bars with the result for a different class of codes-topological color codes-where the mapping yields interesting new types of interacting eight-vertex models.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-30T16:46:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Lx",
      "75.40.Mg",
      "03.67.Pp",
      "75.50.Lk"
    ],
    "keywords": [
      "strong resilience",
      "topological codes",
      "disordered eight-vertex ising model",
      "depolarization",
      "quantum computation necessitates effective error-correction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review X",
      "year": 2012,
      "month": "Apr",
      "volume": 2,
      "pages": "021004"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1088793,
      "adsabs": "2012PhRvX...2b1004B"
    }
  }
}