{
  "id": "1406.0347",
  "version": "v2",
  "published": "2014-06-02T12:58:59.000Z",
  "updated": "2014-07-17T12:23:53.000Z",
  "title": "Local subgraph structure can cause localization in continuous-time quantum walk",
  "authors": [
    "Yusuke Ide"
  ],
  "comment": "8 pages, Accepted for publication in Yokohama Mathematical Journal",
  "categories": [
    "quant-ph",
    "math.CO"
  ],
  "abstract": "In this paper, we consider continuous-time quantum walks (CTQWs) on finite graphs determined by the Laplacian matrices. By introducing fully interconnected graph decomposition of given graphs, we show a decomposition method for the Laplacian matrices. Using the decomposition method, we show several conditions for graph structure which return probability of CTQW tends to 1 while the number of vertices tends to infinity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-17T12:23:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous-time quantum walk",
      "local subgraph structure",
      "fully interconnected graph decomposition",
      "laplacian matrices",
      "localization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}