Optimal Control for Quantum Driving of Two-Level Systems |
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| Authors: | Xiao-Qiu Qi |
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| Affiliation: | 1.State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan,China;2.University of Chinese Academy of Sciences,Beijing,China |
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| Abstract: | In this paper, the optimal quantum control of two-level systems is studied by the decompositions of SU(2). Using the Pontryagin maximum principle, the minimum time of quantum control is analyzed in detail. The solution scheme of the optimal control function is given in the general case. Finally, two specific cases, which can be applied in many quantum systems, are used to illustrate the scheme, while the corresponding optimal control functions are obtained. |
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