Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
Christiane P. Koch, Ugo Boscain, Tommaso Calarco, Gunther Dirr, Stefan, Filipp, Steffen J. Glaser, Ronnie Kosloff, Simone Montangero, Thomas, Schulte-Herbr\"uggen, Dominique Sugny, and Frank K. Wilhelm

TL;DR
This paper reviews recent advances in quantum optimal control, highlighting its crucial role in developing quantum technologies, discussing progress in controllability of open systems, and outlining future research directions in Europe.
Contribution
It provides a comprehensive overview of the current status, challenges, and future goals of quantum optimal control research in Europe, emphasizing recent progress and strategic visions.
Findings
Advances in understanding controllability of open quantum systems
Development of new quantum control techniques
Roadmap for future research in quantum control
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.
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