In this paper we present a linear quadratic Gaussian (LQG) feedback control strategy for a class of linear non-Markovian quantum systems. The feedback control law is designed based on the estimated states of a whitening quantum filter for an augmented Markovian model of the non-Markovian open quantum systems. In this augmented Markovian model, an ancillary system plays the role of internal modes of the environment converting white noise into Lorentzian noise and a principal system obeys non-Markovian dynamics due to the direct interaction with the ancillary system. The simulation results show the LQG controller with the whitening filter obtains a better control performance than that with a Markovian filter in the problem of minimizing the photon numbers of the principal system when the ancillary system is disturbed by thermal noise.
@article{arxiv.1509.09028,
title = {LQG feedback control of a class of linear non-Markovian quantum systems},
author = {Shibei Xue and Matthew R. James and Valery Ugrinovskii and Ian R. Petersen},
journal= {arXiv preprint arXiv:1509.09028},
year = {2017}
}
Comments
7 pages, 4 figures. arXiv admin note: text overlap with arXiv:1503.07999