TechRxiv
JTFISI.pdf (3.98 MB)
Download file

Global exponential stabilization of quantum spin-1/2 systems via improved feedback control

Download (3.98 MB)
preprint
posted on 10.03.2022, 23:17 by Jie WenJie Wen, Yuanhao Shi, Xiaoqiong Pang, Jianfang Jia, Jianchao Zeng
In this paper, we propose two state feedback strategies to exponentially stabilize eigenstates for quantum spin-1/2 systems, respectively. In order to obtain faster state convergence, we improve the state feedback by increasing the real-time state convergence rate, and prove the exponential convergence. On this basis, we present the way of achieving global exponential stabilization of quantum spin-1/2 systems under the improved state feedback with the help of noise-assisted feedback. Besides, we redesign the division of state space to improve the state convergence rate further, and compare the state convergence rates of all state feedback strategies that can exponentially stabilize eigenstates for quantum spin-1/2 systems. The effectiveness and the superiority of the improved feedback control are also verified in numerical simulations.

History

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

Usage metrics

Exports