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arXiv · 1506.02005

Robust $H_\infty$ Estimation of Uncertain Linear Quantum Systems

Shibdas Roy·Ian R. Petersen
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Abstract

We consider classical estimators for a class of physically realizable linear quantum systems. Optimal estimation using a complex Kalman filter for this problem has been previously explored. Here, we study robust $H_\infty$ estimation for uncertain linear quantum systems. The estimation problem is solved by converting it to a suitably scaled $H_\infty$ control problem. The solution is obtained in the form of two algebraic Riccati equations. Relevant examples involving dynamic squeezers are presented to illustrate the efficacy of our method.

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Shibdas Roy, Ian R. Petersen. 2015-06-05. Robust $H_\infty$ Estimation of Uncertain Linear Quantum Systems. https://doi.org/10.1002/rnc.3530

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