论文标题
一类非线性量子系统的混合滤波器受到经典随机干扰
Hybrid filtering for a class of nonlinear quantum systems subject to classical stochastic disturbances
论文作者
论文摘要
研究了一个杂种量子古典过滤问题，其中量子系统受到经典随机过程的干扰。该策略是通过使用光腔对经典干扰进行建模。分析了经典干扰与空腔模拟系统之间的关系。得出了扩大的量子网络系统的动力学，其中包括量子系统和腔体系统。基于对空腔系统状态和经典信号的估计，给出了Qubit-cavity混合动力系统的随机主方程。使用量子扩展的卡尔曼过滤器来实现有效的计算。提出了数值结果，以说明我们方法的有效性。
A hybrid quantum-classical filtering problem, where a qubit system is disturbed by a classical stochastic process, is investigated. The strategy is to model the classical disturbance by using an optical cavity. Relations between classical disturbances and the cavity analog system are analyzed. The dynamics of the enlarged quantum network system, which includes a qubit system and a cavity system, are derived. A stochastic master equation for the qubit-cavity hybrid system is given, based on which estimates for the state of the cavity system and the classical signal are obtained. The quantum extended Kalman filter is employed to achieve efficient computation. Numerical results are presented to illustrate the effectiveness of our methods.
