{
  "id": "quant-ph/9702029",
  "version": "v2",
  "published": "1997-02-12T00:48:43.000Z",
  "updated": "1997-02-18T01:39:22.000Z",
  "title": "A Theory of Fault-Tolerant Quantum Computation",
  "authors": [
    "Daniel Gottesman"
  ],
  "comment": "30 pages, REVTeX, universal swapping operation added to allow universal computation on any stabilizer code",
  "journal": "Phys.Rev.A57:127,1998",
  "doi": "10.1103/PhysRevA.57.127",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In order to use quantum error-correcting codes to actually improve the performance of a quantum computer, it is necessary to be able to perform operations fault-tolerantly on encoded states. I present a general theory of fault-tolerant operations based on symmetries of the code stabilizer. This allows a straightforward determination of which operations can be performed fault-tolerantly on a given code. I demonstrate that fault-tolerant universal computation is possible for any stabilizer code. I discuss a number of examples in more detail, including the five-qubit code.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-02-18T01:39:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fault-tolerant quantum computation",
      "fault-tolerant universal computation",
      "five-qubit code",
      "quantum computer",
      "perform operations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 440307
    }
  }
}