The three phases of quantum annealing: fast, slow, and very slow
Quantum Physics
2022-05-16 v2 Statistical Mechanics
Abstract
Currently, existing quantum annealers have proven themselves as viable technology for the first practical applications in the noisy-intermediate-scale-quantum era. However, to fully exploit their capabilities, a comprehensive characterization of their finite-time excitations is instrumental. To this end, we develop a phase diagram for driven Ising chains, from which the scaling behavior of the excess work can be read off as a function of process duration and system size. "Fast" processes are well described by the Kibble-Zurek mechanism; "slow" processes are governed by effective Landau-Zener dynamics; and "very slow" processes can be approximated with adiabatic perturbation theory.
Keywords
Cite
@article{arxiv.2112.08490,
title = {The three phases of quantum annealing: fast, slow, and very slow},
author = {Artur Soriani and Pierre Nazé and Marcus V. S. Bonança and Bartłomiej Gardas and Sebastian Deffner},
journal= {arXiv preprint arXiv:2112.08490},
year = {2022}
}