{
  "id": "1011.5460",
  "version": "v2",
  "published": "2010-11-24T19:04:48.000Z",
  "updated": "2011-07-27T17:50:53.000Z",
  "title": "Quantum Walks on Regular Graphs and Eigenvalues",
  "authors": [
    "Chris Godsil",
    "Krystal Guo"
  ],
  "categories": [
    "math.CO",
    "quant-ph"
  ],
  "abstract": "We study the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of $S^+(U^3)$, a matrix based on the amplitudes of walks in the quantum walk, distinguishes strongly regular graphs. We find the eigenvalues of $S^+(U)$ and $S^+(U^2)$ for regular graphs.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-27T17:50:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum walk",
      "eigenvalues",
      "distinguishes strongly regular graphs",
      "transition matrix",
      "amplitudes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.5460G"
    }
  }
}