Optimally robust shortcuts to population inversion in two-level quantum systems

19 p.We examine the stability versus different types of perturbations of recently proposed shortcuts to adiabaticity to speed up the population inversion of a two-level quantum system. We find the optimally robust processes by using invariant-based engineering of the Hamiltonian. Amplitude noise and systematic errors require different optimal protocols.We acknowledge Joe Eberly for commenting on the manuscript. We acknowledge funding by project numbers GIU07/40, FIS2009-12773-C02-01 and FIS2010-19998, by NSFC no. 61176118, by UPV/EHU under the program UFI11/55, and by Shanghai Rising-Star Program (no. 12QH1400800)