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Feedback exponential stabilization of stochastic quantum systems based on state space division

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posted on 10.03.2022, 23:19 authored by Jie WenJie Wen, Fangmin Wang, Yuanhao Shi, Jianfang Jia, Jianchao Zeng
In this paper, the global exponential stabilization of two-level stochastic quantum systems is achieved by using measurement-based feedback strategies, including state feedback and noise-assisted feedback, and the state convergence rate is improved by dividing the state space. For both the combination of two continuous noise-assisted feedback and the combination of state feedback and noise-assisted feedback, the state space is divided based on the comparison of real-time state convergence rate under different measurement-based feedback strategies, respectively. The global exponential convergence and the effect of dividing state space in improving state convergence rate for two-level quantum systems are proved in theory and verified in numerical simulations.

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Email Address of Submitting Author

wenjie015@gmail.com

ORCID of Submitting Author

0000-0003-0302-4123

Submitting Author's Institution

North University of China

Submitting Author's Country

China