Real-Time Optimal State Estimation-Based Feedback Control for Stochastic Quantum Systems in the Non-Markovian Case  

作　　者：CONG Shuang ZHANG Jiaoyang KUANG Sen HARRAZ Sajede 

机构地区：[1]Department of Automation,University of Science and Technology of China,Hefei,230027,China

出　　处：《Journal of Systems Science & Complexity》2023年第6期2274-2291,共18页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.61973290。

摘　　要：This paper studies the real-time optimal state estimation-based feedback control for twolevel stochastic quantum systems in the non-Markovian case.The system model is established by combining the time-convolutionless non-Markovian master equation and the stochastic master equation.A nonlinear filter based on the state-dependent Riccati equation is designed in order to achieve the realtime optimal estimation of quantum states.A quadratic function multiplied with an exponential term is selected as the Lyapunov function,and a continuous-time control law is deduced via the stochastic Lyapunov stability theorem to realize eigenstate feedback control based on real-time optimal state estimation.Numerical simulation results illustrate that the proposed control scheme is capable of steering the two-level quantum system from an arbitrary initial state to the desired eigenstate with a fidelity higher than 99%within a time of 3 a.u.

关 键 词：Lyapunov-based approach optimal nonlinear filter quantum feedback control stochastic quantum system 

分 类 号：O211.62[理学—概率论与数理统计] O413[理学—数学]