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Exponential stabilization of stochastic quantum systems via combined feedback control

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posted on 08.03.2021, 21:54 by Jie Wen, Yuanhao Shi, Jianfang Jia, Jianchao Zeng
We propose a novel control strategy by combining state feedback and noise-assisted feedback to exponentially stabilize the target eigenstate for two-level stochastic quantum systems in this paper. The state space is divided into two subspaces, and the state feedback and noise-assisted feedback work in the corresponding subspace, respectively, to achieve the faster state convergence than that of using the two feedback strategies individually. Two kinds of continuous noise-assisted feedback controls are used to form the combined feedback strategies, respectively, and the exponential stabilization of target eigenstate is proved. The effectiveness and superiority of the combined feedback strategies are also 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

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