{
  "id": "2204.00765",
  "version": "v1",
  "published": "2022-04-02T05:16:17.000Z",
  "updated": "2022-04-02T05:16:17.000Z",
  "title": "An analogue of the Riemann Hypothesis via quantum walks",
  "authors": [
    "Norio Konno"
  ],
  "comment": "14 pages",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP",
    "math.NT",
    "math.PR"
  ],
  "abstract": "We consider an analogue of the well-known Riemann Hypothesis based on quantum walks on graphs with the help of the Konno-Sato theorem. Furthermore, we give some examples for complete, cycle, and star graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-02T05:16:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum walks",
      "well-known riemann hypothesis",
      "star graphs",
      "konno-sato theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}