{
  "id": "quant-ph/9905027",
  "version": "v2",
  "published": "1999-05-07T18:48:08.000Z",
  "updated": "2000-07-14T02:51:10.000Z",
  "title": "Toward fault-tolerant quantum computation without concatenation",
  "authors": [
    "Eric Dennis"
  ],
  "comment": "12 pages, 2 figures, replaced: new stuff on error models, numerical example for concatenation criteria",
  "journal": "Phys.Rev.A63:052314,2001",
  "doi": "10.1103/PhysRevA.63.052314",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It has been known that quantum error correction via concatenated codes can be done with exponentially small failure rate if the error rate for physical qubits is below a certain accuracy threshold. Other, unconcatenated codes with their own attractive features-improved accuracy threshold, local operations-have also been studied. By iteratively distilling a certain two-qubit entangled state it is shown how to perform an encoded Toffoli gate, important for universal computation, on CSS codes that are either unconcatenated or, for a range of very large block sizes, singly concatenated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-07-14T02:51:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fault-tolerant quantum computation",
      "concatenation",
      "quantum error correction",
      "large block sizes",
      "exponentially small failure rate"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 499528
    }
  }
}