Quantum control of spin dynamics and its system identification under restricted access

Quantum control, which has been just a dream for a long time, is now becoming a realistic goal. Yet, there are still a number of obstacles we have to overcome before fully manipulating multi-body quantum systems. We would need some tricks when taming a complex quantum system, contemplating what we can do and what we cannot. In this talk, I will delineate a theoretical guiding principle concerning quantum controllability, translating mathematical abstractness into our everyday language. As a physical example, I will focus on spin systems, particularly their nontrivial control with a limited access. Also, I will discuss the problem of Hamiltonian identification that is important under the setting of limited access.

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