{
  "id": "2102.09486",
  "version": "v1",
  "published": "2021-02-11T19:10:08.000Z",
  "updated": "2021-02-11T19:10:08.000Z",
  "title": "Zeta functions of periodic graphs derived from quantum walk",
  "authors": [
    "Takashi Komatsu",
    "Norio Konno",
    "Iwao Sato"
  ],
  "comment": "16 pages. arXiv admin note: text overlap with arXiv:1910.12782",
  "categories": [
    "math.CO"
  ],
  "abstract": "We define a zeta function of a finite graph derived from time evolution matrix of quantum walk, and give its determinant expression. Furthermore, we generalize the above result to a periodic graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-11T19:10:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "05C50",
      "15A15",
      "05C25"
    ],
    "keywords": [
      "periodic graph",
      "quantum walk",
      "zeta function",
      "time evolution matrix",
      "determinant expression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}