{
  "id": "quant-ph/0605004",
  "version": "v1",
  "published": "2006-04-29T16:40:41.000Z",
  "updated": "2006-04-29T16:40:41.000Z",
  "title": "Topological Quantum Computing and the Jones Polynomial",
  "authors": [
    "Samuel J. Lomonaco, Jr.",
    "Louis H. Kauffman"
  ],
  "comment": "19 pages, 27 figures",
  "doi": "10.1117/12.665361",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In this paper, we give a description of a recent quantum algorithm created by Aharonov, Jones, and Landau for approximating the values of the Jones polynomial at roots of unity of the form exp(2$\\pi$i/k). This description is given with two objectives in mind. The first is to describe the algorithm in such a way as to make explicit the underlying and inherent control structure. The second is to make this algorithm accessible to a larger audience.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-29T16:40:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jones polynomial",
      "topological quantum computing",
      "inherent control structure",
      "description",
      "form exp"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}