{
  "id": "1708.01052",
  "version": "v1",
  "published": "2017-08-03T08:44:43.000Z",
  "updated": "2017-08-03T08:44:43.000Z",
  "title": "Resonant-tunneling in discrete-time quantum walk",
  "authors": [
    "Kaname Matsue",
    "Leo Matsuoka",
    "Osamu Ogurisu",
    "Etsuo Segawa"
  ],
  "comment": "14 pages, 2 figures",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that discrete-time quantum walks on the line, $\\mathbb{Z}$, behave as \"the quantum tunneling\". In particular, quantum walkers can tunnel through a double-well with the transmission probability $1$ under a mild condition. This is a property of quantum walks which cannot be seen on classical random walks, and is different from both linear spreadings and localizations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-03T08:44:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete-time quantum walk",
      "transmission probability",
      "linear spreadings",
      "quantum walkers",
      "classical random walks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}