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Quantum optimal control, a toolbox for devising and implementing the shapesof external fields that accomplish given tasks in the operation of a quantumdevice in the best way possible, has evolved into one of the cornerstones forenabling quantum technologies. The last few years have seen a rapid evolutionand expansion of the field. We review here recent progress in our understandingof the controllability of open quantum systems and in the development andapplication of quantum control techniques to quantum technologies. We alsoaddress key challenges and sketch a roadmap for future developments.

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