{
  "id": "1203.0935",
  "version": "v1",
  "published": "2012-03-05T14:49:06.000Z",
  "updated": "2012-03-05T14:49:06.000Z",
  "title": "Ito's formula for the discrete-time quantum walk in two dimensions",
  "authors": [
    "Clement Ampadu"
  ],
  "comment": "Accepted for Publication in the Journal of Quantum Information Science",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Following [Konno, arXiv:1112.4335], it is natural to ask: What is the Ito's formula for the discrete time quantum walk on a graph different than Z, the set of integers? In this paper we answer the question for the discrete time quantum walk on Z^2, the square lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-05T14:49:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T25"
    ],
    "keywords": [
      "discrete-time quantum walk",
      "itos formula",
      "discrete time quantum walk",
      "dimensions",
      "square lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.0935A"
    }
  }
}