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

TL;DR

This paper investigates how to design robust shortcuts to population inversion in two-level quantum systems, optimizing protocols to withstand amplitude noise and systematic errors using invariant-based Hamiltonian engineering.

Contribution

It introduces optimally robust shortcut protocols tailored to different perturbations, advancing control methods for quantum state manipulation.

Findings

Robust protocols outperform standard shortcuts under noise and errors.

Amplitude noise and systematic errors require distinct optimal control strategies.

Invariant-based engineering effectively enhances robustness in quantum population transfer.

Abstract

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 optimally robust processes using invariant based engineering of the Hamiltonian. Amplitude noise and systematic errors require different optimal protocols.