{
  "id": "1301.2905",
  "version": "v2",
  "published": "2013-01-14T10:24:56.000Z",
  "updated": "2014-02-06T09:52:03.000Z",
  "title": "Quantum walks with memory on cycles",
  "authors": [
    "Michael Mc Gettrick",
    "Jarosław Adam Miszczak"
  ],
  "comment": "6 pages, 2 figures, published version",
  "journal": "Physica A, Vol. 399, pp. 163-170 (2014)",
  "doi": "10.1016/j.physa.2014.01.002",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We study the model of quantum walks on cycles enriched by the addition of 1-step memory. We provide a formula for the probability distribution and the time-averaged limiting probability distribution of the introduced quantum walk. Using the obtained results, we discuss the properties of the introduced model and the difference in comparison to the memoryless model.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-06T09:52:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81P45",
      "05C81"
    ],
    "keywords": [
      "quantum walk",
      "time-averaged limiting probability distribution",
      "memoryless model",
      "properties",
      "difference"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica A Statistical Mechanics and its Applications",
      "year": 2014,
      "month": "Apr",
      "volume": 399,
      "pages": 163
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhyA..399..163M"
    }
  }
}