{
  "id": "1712.09260",
  "version": "v1",
  "published": "2017-12-26T13:05:02.000Z",
  "updated": "2017-12-26T13:05:02.000Z",
  "title": "Perfect State Transfer on Abelian Cayley Graphs",
  "authors": [
    "Yingying Tan",
    "Keqin Feng",
    "Xiwang Cao"
  ],
  "comment": "19 pages",
  "categories": [
    "quant-ph",
    "math.CO"
  ],
  "abstract": "Perfect state transfer (PST) has great significance due to its applications in quantum information processing and quantum computation. In this paper we present a characterization on connected simple Cayley graph $\\Gamma={\\rm Cay}(G,S)$ having PST. We show that many previous results on periodicity and existence of PST of circulant graphs (where the underlying group $G$ is cyclic) and cubelike graphs ($G=(\\mathbb{F}_2^n,+)$) can be derived or generalized to arbitrary abelian case in unified and more simple ways from our characterization. We also get several new results including answers on some problems raised before.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-26T13:05:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfect state transfer",
      "abelian cayley graphs",
      "arbitrary abelian case",
      "connected simple cayley graph",
      "quantum information"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}