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Journal of the Franklin Institute

Rapid stabilization of time delay stochastic quantum systems based on continuous measurement feedback

Jie Wen, Yuanhao Shi, Xiaoqiong Pang, Jianfang Jia, Jianchao Zeng

Published May 20, 2020• 17 citations
Publisher
DOI
10.1016/j.jfranklin.2020.05.016

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Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this technical note we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure ofdensitymatrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.