Robust quantum control by smooth quasi-square pulses

TL;DR

This paper explores the use of smooth quasi-square hyper-Gaussian pulses for robust quantum control, comparing two protocols and demonstrating the superiority of robust inverse optimization over time-contracted adiabatic passage.

Contribution

It introduces a method to design smooth quasi-square pulses for robust quantum control, unifying two protocols and showing improved performance over traditional square pulses.

Findings

Robust inverse optimization outperforms time-contracted adiabatic passage.

Smooth hyper-Gaussian pulses effectively preserve robustness in quantum control.

The proposed approach enhances control performance with smooth pulse shapes.

Abstract

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.