Accelerating an adiabatic process by nonlinear sweeping

TL;DR

This paper explores a nonlinear parameter sweeping method to accelerate adiabatic processes while maintaining ground state fidelity, demonstrated in quantum models including Landau-Zener tunneling and quantum factoring.

Contribution

It introduces a nonlinear sweeping technique that speeds up adiabatic processes without losing ground state probability, contrasting with traditional linear methods.

Findings

Nonlinear sweeping accelerates adiabatic transitions in models.

The method maintains high ground state survival probability.

Effective in quantum tunneling and quantum computing models.

Abstract

We investigate the acceleration of an adiabatic process with the same survival probability of the ground state by sweeping a parameter nonlinearly, fast in the wide gap region and slow in the narrow gap region, as contrast to the usual linear sweeping. We find the expected acceleration in the Laudau-Zener tunneling model and in the adiabatic quantum computing model for factorizing the number N=21.