{
  "id": "1102.4898",
  "version": "v2",
  "published": "2011-02-24T03:49:05.000Z",
  "updated": "2011-06-27T17:38:48.000Z",
  "title": "State Transfer on Graphs",
  "authors": [
    "Chris Godsil"
  ],
  "comment": "36 pages, minor revisions",
  "categories": [
    "math.CO",
    "quant-ph"
  ],
  "abstract": "If $X$ is a graph with adjacency matrix $A$, then we define $H(t)$ to be the operator $\\exp(itA)$. We say that we have perfect state transfer in $X$ from the vertex $u$ to the vertex $v$ at time $\\tau$ if the $uv$-entry of $|H(\\tau)_{u,v}|=1$. This concept has potential applications in quantum computing. We offer a survey of some of the work on perfect state transfer and related questions. The emphasis is almost entirely on the mathematics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-27T17:38:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "perfect state transfer",
      "adjacency matrix",
      "potential applications",
      "mathematics",
      "related questions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.4898G"
    }
  }
}