Sliding Mode Control of Two-Level Quantum Systems

Details Sliding Mode Control of Two-Level Quantum Systems Sliding Mode Control of Two-Level Quantum Systems

2010-09-02

arxiv.org/abs/1009.0558v2

Automatica 48 (2012) 725-735

Physics

Quantum Physics

29 pages, 4 figures, accepted by Automatica

Scientific paper

10.1016/j.automatica.2012.02.003

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.

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