Performance evaluation of invariant-based inverse engineering by quantum speed limit

Abstract

Quantum speed limits for two time-evolved states are introduced and applied to overlap between true dynamics and approximate dynamics. In particular, we point out that the present idea is suitable for invariant-based inverse engineering, i.e., the worst case performance of invariant-based inverse engineering can be evaluated by using a designed time-evolved state. As demonstrations, we apply the present method to stimulated Raman adiabatic passage and quantum annealing, and then we find that the present idea brings valuable insight to control scheduling.

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Cited by in corpus (4)

• Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
• Quantum speed limit for states and observables of perturbed open systems
• Scaling of errors in digitized counterdiabatic driving
• Probing quantum phase transition via quantum speed limit