{
  "id": "1505.04863",
  "version": "v1",
  "published": "2015-05-19T03:57:20.000Z",
  "updated": "2015-05-19T03:57:20.000Z",
  "title": "Quantum gates by periodic driving",
  "authors": [
    "Z. C. Shi",
    "X. X. Yi"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "Topological quantum computation has been extensively studied recently due to its robustness against decoherence. A conventional way to realize an quantum operation is by adiabatic evolution---it requires a relatively long time to complete the operation that reduces the speed of quantum computation and might cause errors. In this work, we present a method to realize the operations in topological quantum computation by periodic driving. Compared to the adiabatic evolution, the total operation time can be sharply shortened due to the quasi-energy structure of the system determined by the amplitude and frequency of the periodic driving. We derive an analytical expression for the evolution operator when the driving field is a square function of time, we show that the amplitude of driving is flexible depending on its period and total operation time. This could provide a new direction in modulation of the operation time for topological quantum computation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-19T03:57:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic driving",
      "topological quantum computation",
      "quantum gates",
      "total operation time",
      "long time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}