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arXiv · 1509.09028

LQG feedback control of a class of linear non-Markovian quantum systems

Shibei Xue·Matthew R. James·Valery Ugrinovskii·Ian R. Petersen
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Abstract

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.

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Shibei Xue, Matthew R. James, Valery Ugrinovskii, Ian R. Petersen. 2015-09-30. LQG feedback control of a class of linear non-Markovian quantum systems. https://doi.org/10.1109/acc.2016.7526109

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