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Filtering for a Class of Quantum Systems With Classical Stochastic Disturbances | IEEE Journals & Magazine | IEEE Xplore

Filtering for a Class of Quantum Systems With Classical Stochastic Disturbances


Abstract:

We present filtering equations for a class of hybrid quantum-classical systems where a quantum optical cavity system is continuously disturbed by a classical linear stoch...Show More

Abstract:

We 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.
Published in: IEEE Transactions on Control Systems Technology ( Volume: 27, Issue: 6, November 2019)
Page(s): 2774 - 2780
Date of Publication: 30 September 2018

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