We introduce a systematic construction of higher-order matrix product operator (MPO) approximations of the time evolution operator for generic (short and long range) one-dimensional Hamiltonians. We demonstrate the utility of our construction, by showing an order of magnitude speedup in simulation cost compared to conventional first-order MPO time evolution schemes.
Cite
@article{arxiv.2302.14181,
title = {Efficient higher-order matrix product operators for time evolution},
author = {Maarten Van Damme and Jutho Haegeman and Ian McCulloch and Laurens Vanderstraeten},
journal= {arXiv preprint arXiv:2302.14181},
year = {2023}
}