{
  "id": "quant-ph/9802007",
  "version": "v1",
  "published": "1998-02-02T23:02:38.000Z",
  "updated": "1998-02-02T23:02:38.000Z",
  "title": "Fault-Tolerant Quantum Computation with Higher-Dimensional Systems",
  "authors": [
    "Daniel Gottesman"
  ],
  "comment": "12 pages, LaTeX w/ llncs style, to be presented at the 1st NASA International Conference on Quantum Computing and Quantum Communications",
  "journal": "Chaos Solitons Fractals 10:1749-1758,1999",
  "doi": "10.1016/S0960-0779(98)00218-5",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Instead of a quantum computer where the fundamental units are 2-dimensional qubits, we can consider a quantum computer made up of d-dimensional systems. There is a straightforward generalization of the class of stabilizer codes to d-dimensional systems, and I will discuss the theory of fault-tolerant computation using such codes. I prove that universal fault-tolerant computation is possible with any higher-dimensional stabilizer code for prime d.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-02-02T23:02:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fault-tolerant quantum computation",
      "higher-dimensional systems",
      "quantum computer",
      "d-dimensional systems",
      "higher-dimensional stabilizer code"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 466789
    }
  }
}