Robust time-optimal control is known to feature constant (square) pulses. We analyze fast adiabatic dynamics that preserve robustness by using alternative smooth quasi-square pulses, typically represented by hyper-Gaussian pulses. We here consider the two protocols, robust inverse optimization and time-contracted adiabatic passage, allowing the design of the same pulse shape in both cases. The dynamics and their performance are compared. The superiority of the former protocol is shown.
@article{arxiv.2209.12293,
title = {Robust quantum control by smooth quasi-square pulses},
author = {Jing-jun Zhu and Xavier Laforgue and Xi Chen and Stéphane Guérin},
journal= {arXiv preprint arXiv:2209.12293},
year = {2022}
}