{
  "id": "2204.09802",
  "version": "v1",
  "published": "2022-04-20T22:14:09.000Z",
  "updated": "2022-04-20T22:14:09.000Z",
  "title": "On state transfer in Cayley graphs for abelian groups",
  "authors": [
    "Arnbjörg Soffía Árnadóttir",
    "Chris Godsil"
  ],
  "comment": "21 pages, 1 figure",
  "categories": [
    "math.CO",
    "quant-ph"
  ],
  "abstract": "In this paper, we characterize perfect state transfer in Cayley graphs for abelian groups that have a cyclic Sylow-2-subgroup. This generalizes a result of Ba\\v{s}i\\'c from 2013 where he provides a similar characterization for Cayley graphs of cyclic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-20T22:14:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cayley graphs",
      "abelian groups",
      "characterize perfect state transfer",
      "cyclic groups",
      "similar characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}