Quantum optimal control in quantum technologies. 
Strategic report on current status, visions and goals for research in Europe

Abstract

Quantum optimal control, a toolbox for devising and implementing the shapes of external fields 
that accomplish given tasks in the operation of a quantum device in the best way possible, has 
evolved into one of the cornerstones for enabling quantum technologies. The last few years have 
seen a rapid evolution and expansion of the field. We review here recent progress in our 
understanding of the controllability of open quantum systems and in the development and 
application of quantum control techniques to quantum technologies. We also address key 
challenges and sketch a roadmap for future developments.