Hybrid Filtering for a Class of Quantum Systems with Classical Disturbances
Abstract
A filtering problem for a class of quantum systems disturbed by a classical stochastic process is investigated in this paper. The classical disturbance process, which is assumed to be described by a linear stochastic differential equation, is modeled by a quantum cavity model. Then the hybrid quantum-classical system is described by a combined quantum system consisting of two quantum cavity subsystems. Quantum filtering theory and a quantum extended Kalman filter method are employed to estimate the states of the combined quantum system. An estimate of the classical stochastic process is derived from the estimate of the combined quantum system. The effectiveness and performance of the proposed methods are illustrated by numerical results.
Keywords
Cite
@article{arxiv.1703.08976,
title = {Hybrid Filtering for a Class of Quantum Systems with Classical Disturbances},
author = {Qi Yu and Daoyi Dong and Ian R. Petersen and Qing Gao},
journal= {arXiv preprint arXiv:1703.08976},
year = {2017}
}
Comments
8 pages, 5 figures, a short version will appear at Proceedings of IFAC 2017 World Congress, Toulouse, France