Testing quantum adiabaticity with quench echo

TL;DR

The paper introduces a practical method to test and ensure adiabaticity in quantum processes without prior knowledge of eigenenergies, aiding the implementation of adiabatic quantum computation.

Contribution

It proposes a novel, operational approach to verify adiabaticity and design uniformly adiabatic quenches based on the Kibble-Zurek mechanism for arbitrary quantum systems.

Findings

Effective method to test adiabaticity without eigenenergy knowledge

Operational scheme for uniform adiabatic quench based on Kibble-Zurek

Potential to improve adiabatic quantum computation implementations

Abstract

Adiabaticity of quantum evolution is important in many settings. One example is the adiabatic quantum computation. Nevertheless, up to now, there is no effective method to test the adiabaticity of the evolution when the eigenenergies of the driven Hamiltonian are not known. We propose a simple method to check adiabaticity of a quantum process for an arbitrary quantum system. We further propose a operational method for finding a uniformly adiabatic quench scheme based on Kibble-Zurek mechanism for the case when the initial and the final Hamiltonians are given. This method should help in implementing adiabatic quantum computation.