HIGHLIGHTS
SUMMARY
Engineering a suitable Hamiltonian that evolves a given initial quantum state into a selected target state is essential in technologies such as quantum information processing, quantum simulation, and quantum sensing. Even if the form of the control Hamiltonian can be relaxed, limitations may still arise in situations where the system is immersed in an external field that cannot be altered by the controller. The authors show that this problem can be cast in the form of a system of two coupled equations, viz., one for the control Hamiltonian and another for the associated duration . . .
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