{
  "id": "1009.0558",
  "version": "v2",
  "published": "2010-09-02T23:15:59.000Z",
  "updated": "2011-09-22T11:14:31.000Z",
  "title": "Sliding Mode Control of Two-Level Quantum Systems",
  "authors": [
    "Daoyi Dong",
    "Ian R. Petersen"
  ],
  "comment": "29 pages, 4 figures, accepted by Automatica",
  "journal": "Automatica 48 (2012) 725-735",
  "doi": "10.1016/j.automatica.2012.02.003",
  "categories": [
    "quant-ph",
    "cs.SY",
    "math.OC"
  ],
  "abstract": "This paper proposes a robust control method based on sliding mode design for two-level quantum systems with bounded uncertainties. An eigenstate of the two-level quantum system is identified as a sliding mode. The objective is to design a control law to steer the system's state into the sliding mode domain and then maintain it in that domain when bounded uncertainties exist in the system Hamiltonian. We propose a controller design method using the Lyapunov methodology and periodic projective measurements. In particular, we give conditions for designing such a control law, which can guarantee the desired robustness in the presence of the uncertainties. The sliding mode control method has potential applications to quantum information processing with uncertainties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-22T11:14:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-level quantum system",
      "control law",
      "bounded uncertainties",
      "sliding mode control method",
      "robust control method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.0558D"
    }
  }
}