Hybrid Filtering for a Class of Nonlinear Quantum Systems Subject to Classical Stochastic Disturbances

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Yu, Qi
Dong, Daoyi
Petersen, Ian R
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2022
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Abstract

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. The 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. The numerical results are presented to illustrate the effectiveness of our methods.

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IEEE Transactions on Cybernetics
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52
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2
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© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
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Science & Technology
Automation & Control Systems
Computer Science, Artificial Intelligence
Computer Science, Cybernetics
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Yu, Q; Dong, D; Petersen, IR, Hybrid Filtering for a Class of Nonlinear Quantum Systems Subject to Classical Stochastic Disturbances, IEEE Transactions on Cybernetics, 2022, 52 (2), pp. 1073-1085
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