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New Results for Quantum Control Problems

Organizers:
Alfio Borzi (Institut fur Mathematik, Universitat Wurzburg, Germany), Gabriele Ciaramella (Institut fur Mathematik, Universitat Wurzburg, Germany), and Julien Salomon (Universite Paris-Dauphine, Ceremade, Paris, France)

Abstract:
The recent developments in nanotechnology are boosting an intensive investigation in quantum control problems. The reason of such an interest arises from the fact that many applications in nanotechnology deal with the problem controlling quantum dynamical systems. This fact explains the increasing number of research works in the field of quantum control theory and related quantum modeling and numerical simulation and optimization. From the physical and application point of view, quantum control theory is largely involved in nuclear magnetic resonance (NMR) spectroscopy, magnetic resonance imaging (MRI), quantum information and electronic engineering, e.g., in applica- tions such as quantum computers, and in the control of chemical and photochemical processes. Mathematically, many topics are involved in quantum con- trol theory. Among others, the control of a quantum system gives rise to major issues in the elds of optimal control, exact controllability, and stabilization. On the other hand, the solution of these problems requires the development of sophisticated algorithms for simulation and optimization For these reasons, in this multidisciplinary mini-symposium recent advances in the theory, numerics and application of quantum control problem will be discussed.