Guaranteed Cost LQG Control of Uncertain Linear Quantum Stochastic Systems

TL;DR

This paper develops a guaranteed cost control framework for uncertain linear stochastic quantum systems, linking quantum and classical systems to derive robust control solutions, demonstrated through a quantum optics example.

Contribution

It introduces a novel guaranteed cost control approach for uncertain quantum systems by connecting them to classical systems, enabling robust control design.

Findings

Established a connection between quantum and classical systems for control analysis.

Derived guaranteed cost control results for uncertain quantum systems.

Validated the approach with an example from quantum optics.

Abstract

In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first established. Using this connection, the desired guaranteed cost results are established. The theory presented is illustrated using an example from quantum optics.