{
  "id": "quant-ph/0209100",
  "version": "v2",
  "published": "2002-09-17T10:15:07.000Z",
  "updated": "2002-10-17T08:07:49.000Z",
  "title": "Coassociative grammar, periodic orbits and quantum random walk over Z",
  "authors": [
    "Leroux Philippe"
  ],
  "comment": "21 pages, 16 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We prove that the combinatorics generated by the quantum random walk on Z can be interpreted from the reading of periodic orbits of the classical chaotic map $x \\mapsto 2x mod 1$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-10-17T08:07:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum random walk",
      "periodic orbits",
      "coassociative grammar",
      "classical chaotic map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002quant.ph..9100P"
    }
  }
}