Feedback exponential stabilization of stochastic quantum systems based on state space division
preprintposted on 2022-03-10, 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.
Email Address of Submitting Authorwenjie015@gmail.com
ORCID of Submitting Author0000-0003-0302-4123
Submitting Author's InstitutionNorth University of China
Submitting Author's Country