Introduction to quantum control and dynamics

D'Alessandro (Iowa State University) introduces 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 an explanation of basics of quantum mechanics, he derives a class of mode...

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Autor principal: D’Alessandro, Domenico
Formato: Livro
Idioma:Undetermined
Publicado em: Boca Raton Chapman & Hall/CRC 2008
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Descrição
Resumo:D'Alessandro (Iowa State University) introduces 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 an explanation of basics of quantum mechanics, he derives a class of models for quantum control systems from fundamental physics, and uses it to describe experimental situations. He then examines the controllability and observability of quantum systems and the related problem of quantum state determination and measurement. He also uses Lie group decompositions as tools to analyze dynamics and to design control algorithms. He also describes various other control methods and discusses topics in quantum information theory. Applications are given in areas such as nuclear magnetic resonance experiments and implementations of quantum information.