IET Digital Library: Quantum control theory and applications: a survey |
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This study presents a survey on quantum control theory and applications from a control systems perspective. Some of the basic concepts and main developments (including open-loop control and closed-loop control) in quantum control theory are reviewed. In the area of open-loop quantum control, the paper surveys the notion of controllability for quantum systems and presents several control design strategies including optimal control, Lyapunov-based methodologies, variable structure control and quantum incoherent control. In the area of closed-loop quantum control, this study reviews closed-loop learning control and several important issues related to quantum feedback control including quantum filtering, feedback stabilisation, linear-quadratic-Gaussian control and robust quantum control. Inspec keywords: optimal control; control system synthesis; variable structure systems; discrete systems; closed loop systems; feedback; Lyapunov methods; controllability; linear quadratic Gaussian control; open loop systems Other keywords: quantum feedback control; quantum incoherent control; control systems; quantum control theory; closed-loop control; controllability; optimal control; quantum filtering; feedback stabilisation; control design; Lyapunov based methodologies; open-loop control; variable structure control; robust quantum control; linear-quadratic-Gaussian control Subjects: Control system analysis and synthesis methods; Multivariable control systems; Optimal control; Stability in control theory; Discrete control systems References 1) R. Chakrabarti , H. Rabitz . Quantum control landscape. Int. Rev. Phys. Chem. , 671 - 735 2) L. Viola , S. Lloyd . Dynamical suppression of decoherence in two-state quantum systems. Phys. Rev. A , 2733 - 2744 3) D. Bacon , D.A. Lidar , K.B. 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