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Zusatztext "Overall! this book is a fantastic success in terms of organization! clarity! and strictness . . . I will actively recommend this book to my colleagues and students." - Jiangbin Gong! Department of Physics and Centre of Computational Science and Engineering! National University of Singapore! in International Journal of Quantum Information! 2008! Vol. 6! No. 2"...the book by D. D'Alessandro provides a consistent and well-written introductory to quantum dynamics and quantum control that can be recommended for students and teachers! and also for general readers of a rather broader circle with some background in quantum mechanics." Eugene Kryachko! Zentralblatt MATH! 2008! 1139. Klappentext 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. Zusammenfassung The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics 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 the related problem of quantum state determination and measurement. The author also uses Lie group decompositions as tools to analyze dynamics and to design control algorithms. In addition, he describes various other control methods and discusses topics in quantum information theory that include entanglement and entanglement dynamics. The final chapter covers the implementation of quantum control and dynamics in several fields. Armed with the basics of quantum control and dynamics, readers will invariably use this interdisciplinary knowledge in their mathematical, physics, and engineering work. Inhaltsverzeichnis Quantum Mechanics. Modeling of Quantum Control Systems: Examples. Controllability. Observability and State Determination. Lie Group Decompositions and Control. Optimal Control of Quantum Systems. More Tools for Quantum Control. Analysis of Quantum Evolutions: Entanglement, Entanglement Measures, and Dynamics. Applications of Quantum Control and Dynamics. Appendices. References. Index....
