Robust H∞ coherent-classical estimation of linear quantum systems

Abstract— We study robust H∞ coherent-classical estimation for a class of physically realizable linear quantum systems with parameter uncertainties. Such a robust coherent-classical estimator, with or without coherent feedback, can yield better disturbance-to-error performance than the corresponding robust purely-classical estimator for an uncertain plant. Moreover, coherent feedback allows for such a robust coherentclassical estimator to be more robust to uncertainty in comparison to the robust classical-only estimator.