Introduction to Quantum Control and Dynamics

This book presents the mathematical concepts and fundamental physics behind the analysis and control of quantum dynamics, emphasizing the application of Lie algebra and Lie group theory. After introducing the basics of quantum mechanics, the book derives a class of models for quantum control systems from fundamental physics. It examines the controllability and observability of quantum systems and uses Lie group decompositions as tools to analyze dynamics and to design control algorithms. In addition, the book describes various other control methods and discusses topics in quantum information theory. The final chapter covers the implementation of quantum control and dynamics in several fields.