Sliding mode control of two-level quantum systems |
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| Authors: | Daoyi Dong Ian R. Petersen |
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| Affiliation: | 1. School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT 2600, Australia;2. Institute of Cyber-Systems and Control, State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China;1. School of Electrical Engineering and Telecommunications, UNSW Australia, UNSW Sydney 2052, Australia;2. School of Engineering and Information Technology, UNSW Canberra, Canberra BC 2610, Australia;1. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China;2. School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT 2600, Australia;1. Department of Theoretical Physics and Astrophysics, University of Tabriz, Tabriz 51664, Iran;2. Physics Department, Faculty of Science, Imam Khomeini International University, Qazvin, Iran |
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| 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. |
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