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We propose an efficient strategy to find optimal control functions forstate-to-state quantum control problems. Our procedure first chooses an inputstate trajectory, that can realize the desired transformation by adiabaticvariation of the system Hamiltonian. The shortcut-to-adiabaticity (STA)formalism then provides a control Hamiltonian that realizes the referencetrajectory exactly but on a finite time scale. As the final state is achievedwith certainty, we define a cost functional that incorporates the resourcerequirements and a perturbative expression for robustness. We optimize thisfunctional by systematically varying the reference trajectory. We demonstratethe method by application to population transfer in a laser driven three-level{\Lambda}-system, where we find solutions that are fast and robust againstperturbations while maintaining a low peak laser power.

Fast state transfer in a {\Lambda}-system: a shortcut-to-adiabaticity approach to robust and resource optimized control