Domenico D’Alessandro received a Ph.D. degree in Electrical Engineering from the University of Padua (Italy) and a Ph.D. in Mechanical Engineering from the University of California, Santa Barbara. He is Professor of Mathematics at Iowa State University. He has held visiting positions at Tsinghua University in Beijing and USTC in Hefei (both in China), the Institute of Mathematics and Applications in Minneapolis, and ETH Zurich. He received the IEEE George Axelby Outstanding Paper Award for work on quantification and control of mixing in fluid flows. He received the NSF CAREER Award and the Iowa State Foundation Award for Early Achievement in Research. His research interests are in the areas of systems and control theory with emphasis on nonlinear and geometric methods, mathematical physics, Lie algebras and Lie groups and applications to quantum and biological systems.

• 1 Quantum Mechanics 2 Modeling of Quantum Control Systems; Examples 3 Controllability 4 Uncontrollable Systems and Dynamical Decomposition 5 Observability and State Determination 6 Lie Group Decompositions and Control 7 Optimal Control of Quantum Systems 8 More Tools for Quantum Control 9 Analysis of Quantum Evolutions; Entanglement, Entanglement Measures and Dynamics10 Applications of Quantum Control and DynamicsAppendixesReferencesIndex

Domenico D’Alessandro received a Ph.D. degree in Electrical Engineering from the University of Padua (Italy) and a Ph.D. in Mechanical Engineering from the University of California, Santa Barbara. He is Professor of Mathematics at Iowa State University. He has held visiting positions at Tsinghua University in Beijing and USTC in Hefei (both in China), the Institute of Mathematics and Applications in Minneapolis, and ETH Zurich. He received the IEEE George Axelby Outstanding Paper Award for work on quantification and control of mixing in fluid flows. He received the NSF CAREER Award and the Iowa State Foundation Award for Early Achievement in Research. His research interests are in the areas of systems and control theory with emphasis on nonlinear and geometric methods, mathematical physics, Lie algebras and Lie groups and applications to quantum and biological systems.

• 1 Quantum Mechanics 2 Modeling of Quantum Control Systems; Examples 3 Controllability 4 Uncontrollable Systems and Dynamical Decomposition 5 Observability and State Determination 6 Lie Group Decompositions and Control 7 Optimal Control of Quantum Systems 8 More Tools for Quantum Control 9 Analysis of Quantum Evolutions; Entanglement, Entanglement Measures and Dynamics10 Applications of Quantum Control and DynamicsAppendixesReferencesIndex