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.
@article{arxiv.1201.1962,
title = {Accelerating an adiabatic process by nonlinear sweeping},
author = {Xingxin Cao and Jun Zhuang and X. -J. Ning and Wenxian Zhang},
journal= {arXiv preprint arXiv:1201.1962},
year = {2015}
}