Accelerating quantum adiabatic evolution with $\pi$-pulse sequences

TL;DR

This paper introduces a method to accelerate quantum adiabatic evolution using $$-pulse sequences, reducing transition errors and maintaining robustness, demonstrated through simulations on two- and three-level systems.

Contribution

The authors propose a novel $$-pulse sequence approach to speed up adiabatic quantum processes while preserving their inherent robustness, improving upon traditional methods.

Findings

Achieves higher fidelity in shorter evolution times.

Significantly suppresses nonadiabatic transitions.

Demonstrated effectiveness in two- and three-level systems.

Abstract

In quantum information processing, the development of fast and robust control schemes remains a central challenge. Although quantum adiabatic evolution is inherently robust against control errors, it typically demands long evolution times. In this work, we propose to achieve rapid adiabatic evolution, in which nonadiabatic transitions induced by fast changes in the system Hamiltonian are mitigated by flipping the nonadiabatic transition matrix using $\pi$ pulses. This enables a faster realization of adiabatic evolution while preserving its robustness. We demonstrate the effectiveness of our scheme in both two-level and three-level systems. Numerical simulations show that, for the same evolution duration, our scheme achieves higher fidelity and significantly suppresses nonadiabatic transitions compared to the traditional STIRAP protocol.