{
  "id": "2211.00904",
  "version": "v1",
  "published": "2022-11-02T06:08:41.000Z",
  "updated": "2022-11-02T06:08:41.000Z",
  "title": "A family of quantum walks on a finite graph corresponding to the generalized weighted zeta function",
  "authors": [
    "Ayaka Ishikawa"
  ],
  "categories": [
    "math.CO",
    "quant-ph"
  ],
  "abstract": "This paper gives the quantum walks determined by graph zeta functions. The result enables us to obtain the characteristic polynomial of the transition matrix of the quantum walk, and it determines the behavior of the quantum walk. We treat finite graphs allowing multi-edges and multi-loops.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-02T06:08:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum walk",
      "generalized weighted zeta function",
      "finite graph corresponding",
      "graph zeta functions",
      "treat finite graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}