n比特随机量子系统实时状态估计及其反馈控制  

Real-time State Estimation and Feedback Control for n-qubit Stochastic Quantum Systems

作　　者：张骄阳 丛爽[1] 匡森[1] ZHANG Jiao-Yang;CONG Shuang;KUANG Sen(Department of Automation,University of Science and Technology of China,Hefei 230027)

机构地区：[1]中国科学技术大学自动化系,合肥230027

出　　处：《自动化学报》2024年第1期42-53,共12页Acta Automatica Sinica

基　　金：国家自然科学基金(61973290)资助。

摘　　要：研究了n比特随机量子系统实时状态估计及其反馈控制的问题.对于连续弱测量(Continuous weak measurement, CWM)过程存在高斯噪声的情况,基于在线交替方向乘子法(Online alternating direction multiplier method,OADM)推导出一种适用于n比特随机量子系统的实时量子状态估计算法,即QSE-OADM (Quantum state estimation based on OADM).运用李雅普诺夫方法设计控制律,实现基于实时量子状态估计的反馈控制,并证明所提控制律的收敛性.以2比特随机量子系统为例进行数值仿真实验,通过与基于QST-OADM (Quantum state tomography based on OADM)算法和OPG-ADMM (Online proximal gradient-based alternating direction method of multipliers)算法的量子反馈控制方案的性能对比,验证了所提控制方案的优越性.The problem of real-time state estimation and feedback control of n-qubit stochastic quantum systems is investigated in this paper.Considering the presence of Gaussian noises in the continuous weak measurement(CWM)process,a real-time quantum state estimation(QSE)algorithm based on the online alternating direction n-qubitmultiplier method(OADM),short for QSE-OADM,is deduced for stochastic quantum systems.The con-trol law is designed via the Lyapunov-based approach to realize real-time quantum state estimation-based feedback control,and the convergence of the proposed control law is proved.Numerical simulations are carried out for 2-qubit stochastic quantum systems,and the superiority of the proposed control scheme is verified in comparison with the performance of quantum feedback control schemes based on the QST-OADM(quantum state tomography based on the online alternating direction multiplier method)algorithm and the OPG-ADMM(online proximal gradient-based alternating direction method of multipliers)algorithm.

关 键 词：随机量子系统 量子反馈控制 在线交替方向乘子法 李雅普诺夫控制方法 

分 类 号：O413[理学—理论物理] O231[理学—物理]