{
  "id": "1509.07112",
  "version": "v1",
  "published": "2015-09-23T19:54:39.000Z",
  "updated": "2015-09-23T19:54:39.000Z",
  "title": "Quantum Walk on the Line through Potential Barriers",
  "authors": [
    "Thomas G. Wong"
  ],
  "comment": "14 pages, 6 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Quantum walks are well-known for their ballistic dispersion, traveling $\\Theta(t)$ away in $t$ steps, which is quadratically faster than a classical random walk's diffusive spreading. In physical implementations of the walk, however, the particle may need to tunnel through a potential barrier to hop, and a naive calculation suggests this could eliminate the ballistic transport. We show by explicit calculation, however, that such a loss does not occur. Rather, the $\\Theta(t)$ dispersion is retained, with only the coefficient changing, which additionally gives a way to detect and quantify the hopping errors in experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-23T19:54:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "potential barrier",
      "quantum walk",
      "random walks diffusive spreading",
      "ballistic dispersion",
      "classical random walks"
    ],
    "publication": {
      "doi": "10.1007/s11128-015-1215-6",
      "journal": "Quantum Information Processing",
      "year": 2016,
      "month": "Feb",
      "volume": 15,
      "number": 2,
      "pages": 675
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016QuIP...15..675W"
    }
  }
}