Time-optimal control of finite quantum systems.

We investigate time-optimal control of finite quantum systems in the Born approximation. A bang-bang principle is found to follow from a result in [C. A. Akemann and J. Anderson, Lyapunov Theorems for Operator Algebras, Mem. Amer. Math. Soc. 458 (Providence, 1991)]. We also prove existence of time-optimal controls, characterize when they are unique, and assuming uniqueness, explicitly describe them.

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