Formulation and Numerical Solution of Quantum Control Problems

Alfio Borzì is professor and chair of scientific computing at the Institute for Mathematics of the University of Würzburg, Germany. He has contributed considerably to the development of computational methodologies for simulation and optimization with PDEs, with a focus on multilevel methods and on the modeling and numerical solution of quantum and stochastic optimal control problems.Gabriele Ciaramella is currently a postdoctoral researcher in the Numerical Analysis group of the University of Geneva, Switzerland. He has contributed to the development of methodologies for nonsmooth optimization and control of finite- and infinite-dimensional quantum systems and to the analysis of domain-decomposition methods.Martin Sprengel is currently a doctoral student in the Scientific Computing group of the Institute for Mathematics of the University of Würzburg, Germany. He works on the formulation and solution of optimal control problems in the framework of time-dependent density functional theory.

• PrefaceChapter 1: IntroductionChapter 2: Quantum mechanics and the Schrödinger equationChapter 3: Optimal control theory for quantum systemsChapter 4: Controllability of quantum systemsChapter 5: Discretization schemesChapter 6: Numerical optimization methodsChapter 7: Application to quantum control problemsAppendixBibliographyIndex