{
  "id": "1401.3195",
  "version": "v1",
  "published": "2014-01-14T14:31:15.000Z",
  "updated": "2014-01-14T14:31:15.000Z",
  "title": "Realization of quantum gates by Lyapunov control",
  "authors": [
    "S. C. Hou",
    "L. C. Wang",
    "X. X. Yi"
  ],
  "comment": "9 pages, 5 figures. Physics Letters A (2014)",
  "doi": "10.1016/j.physleta.2014.01.008",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We propose a Lyapunov control design to achieve specific (or a family of) unitary time-evolution operators, i.e., quantum gates in the Schr\\\"{o}dinger picture by tracking control. Two examples are presented. In the first, we illustrate how to realize the Hadamard gate in a single-qubit system, while in the second, the controlled-NOT (CNOT) gate is implemented in two-qubit systems with the Ising and Heisenberg interactions. Furthermore, we demonstrate that the control can drive the time-evolution operator into the local equivalence class of the CNOT gate and the operator keeps in this class forever with the existence of Ising coupling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-14T14:31:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum gates",
      "realization",
      "local equivalence class",
      "lyapunov control design",
      "unitary time-evolution operators"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters A",
      "year": 2014,
      "month": "Feb",
      "volume": 378,
      "number": 9,
      "pages": 699
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhLA..378..699H"
    }
  }
}