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 measure-ment，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。
Real-time State Estimation and Feedback Control for n-qubit Stochastic Quantum Systems
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 multiplier method(OADM),short for QSE-OADM,is deduced for n-qubit 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.
Stochastic quantum systemsquantum feedback controlonline alternating direction multiplier method(OADM)Lyapunov-based control approach
万方数据
维普
