Coherent H∞ Control for Linear Quantum Systems With Uncertainties in the Interaction Hamiltonian

This work conducts robust H-infinity analysis for a class of quantum systems subject to perturbations in the interaction Hamiltonian. A necessary and sufficient condition for the robustly strict bounded real property of this type of uncertain quantum system is proposed. This paper focuses on the study of coherent robust H-infinity controller design for quantum systems with uncertainties in the interaction Hamiltonian. The desired controller is connected with the uncertain quantum system through direct and indirect couplings. A necessary and sufficient condition is provided to build a connection between the robust H-infinity control problem and the scaled H-infinity control problem. A numerical procedure is provided to obtain coefficients of a coherent controller. An example is presented to illustrate the controller design method.

Automated summary

This study focuses on conducting robust H-infinity analysis for a specific class of quantum systems with perturbations in the interaction Hamiltonian. It proposes a necessary and sufficient condition for the robustly strict bounded real property of uncertain quantum systems, and examines coherent robust H-infinity controller design for quantum systems with uncertainties in the interaction Hamiltonian. The study provides a numerical procedure for obtaining coefficients of a coherent controller and presents an example to illustrate the controller design method.