{
  "id": "1203.0374",
  "version": "v1",
  "published": "2012-03-02T05:23:10.000Z",
  "updated": "2012-03-02T05:23:10.000Z",
  "title": "Implementation of three-qubit Toffoli gate in a single step",
  "authors": [
    "Ai Min Chen",
    "Sam Young Cho",
    "Mun Dae Kim"
  ],
  "comment": "8 pages, 4 figures, to appear in PRA",
  "journal": "Physical Review A 85, 032326 (2012)",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "Single-step implementations of multi-qubit gates are generally believed to provide a simpler design, a faster operation, and a lower decoherence. For coupled three qubits interacting with a photon field, a realizable scheme for a single-step Toffoli gate is investigated. We find that the three qubit system can be described by four effective modified Jaynes-Cummings models in the states of two control qubits. Within the rotating wave approximation, the modified Jaynes-Cummings models are shown to be reduced to the conventional Jaynes-Cummings models with renormalized couplings between qubits and photon fields. A single-step Toffoli gate is shown to be realizable with tuning the four characteristic oscillation periods that satisfy a commensurate condition. Possible values of system parameters are estimated for single-step Toffli gate. From numerical calculation, further, our single-step Toffoli gate operation errors are discussed due to imperfections in system parameters, which shows that a Toffoli gate with high fidelity can be obtained by adjusting pairs of the photon-qubit and the qubit-qubit coupling strengthes. In addition, a decoherence effect on the Toffoli gate operation is discussed due to a thermal reservoir.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-02T05:23:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Pp",
      "85.25.Am",
      "85.25.Cp"
    ],
    "keywords": [
      "three-qubit toffoli gate",
      "single step",
      "modified jaynes-cummings models",
      "implementation",
      "single-step toffoli gate operation errors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "doi": "10.1103/PhysRevA.85.032326",
      "year": 2012,
      "month": "Mar",
      "volume": 85,
      "number": 3,
      "pages": "032326"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvA..85c2326C"
    }
  }
}