Probing nonlinear adiabatic paths with a universal integrator
Quantum Physics
2014-03-20 v2
Abstract
We apply a flexible numerical integrator to the simulation of adiabatic quantum computation with nonlinear paths. We find that a nonlinear path may significantly improve the performance of adiabatic algorithms versus the conventional straight-line interpolations. The employed integrator is suitable for solving the time-dependent Schr\"odinger equation for any qubit Hamiltonian. Its flexible storage format significantly reduces cost for storage and matrix-vector multiplication in comparison to common sparse matrix schemes.
Keywords
Cite
@article{arxiv.1311.3938,
title = {Probing nonlinear adiabatic paths with a universal integrator},
author = {Michael Hofmann and Gernot Schaller},
journal= {arXiv preprint arXiv:1311.3938},
year = {2014}
}
Comments
8 pages, 6 figures