Quantum control theory and applications: A survey

TL;DR

This survey comprehensively reviews quantum control theory, covering open-loop and closed-loop strategies, control design methods, and key issues like feedback and stabilization from a control systems perspective.

Contribution

It provides an organized overview of quantum control concepts, recent developments, and control strategies, highlighting the integration of control theory with quantum systems.

Findings

Summarizes controllability and control design strategies for quantum systems.

Reviews quantum feedback control and stabilization techniques.

Highlights recent advances in quantum control methodologies.

Abstract

This paper presents a survey on quantum control theory and applications from a control systems perspective. Some of the basic concepts and main developments (including open-loop control and closed-loop control) in quantum control theory are reviewed. In the area of open-loop quantum control, the paper surveys the notion of controllability for quantum systems and presents several control design strategies including optimal control, Lyapunov-based methodologies, variable structure control and quantum incoherent control. In the area of closed-loop quantum control, the paper reviews closed-loop learning control and several important issues related to quantum feedback control including quantum filtering, feedback stabilization, LQG control and robust quantum control.