Yu, QiDong, DaoyiPetersen, IanEmzir, MuhammadGao, Qing2023-09-041063-6536http://hdl.handle.net/1885/298190We present filtering equations for a class of hybrid quantum-classical systems where a quantum optical cavity system is continuously disturbed by a classical linear stochastic process. Another quantum cavity system is employed to describe the classical stochastic process as an analog. The initial hybrid quantum-classical system consisting of both a classical signal and a quantum cavity system is then modeled by a combined quantum system with two quantum cavity systems. The stochastic master equations, or filtering equations, are then derived using quantum filtering theory. A quantum extended Kalman filter method is adopted as a convenient solution to this filtering problem. The effectiveness of both methods is illustrated by numerical examples.application/pdfen-AU© 2018 The authorsQuantum extended Kalman filter (QEKF)quantum filteringquantum systems201910.1109/TCST.2018.28687642022-07-24