Journal
AUTOMATICA
Volume 48, Issue 5, Pages 725-735Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2012.02.003
Keywords
Quantum control; Sliding mode control; Bounded uncertainty; Periodic projective measurement; Lyapunov methodology
Funding
- Australian Research Council
- National Natural Science Foundation of China [60703083, 60805029]
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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. (C) 2012 Elsevier Ltd. All rights reserved.
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