Testing quantum expanders is co-QMA-complete
Quantum Physics
2013-06-04 v2
Abstract
A quantum expander is a unital quantum channel that is rapidly mixing, has only a few Kraus operators, and can be implemented efficiently on a quantum computer. We consider the problem of estimating the mixing time (i.e., the spectral gap) of a quantum expander. We show that this problem is co-QMA-complete. This has applications to testing randomized constructions of quantum expanders, and studying thermalization of open quantum systems.
Keywords
Cite
@article{arxiv.1210.0787,
title = {Testing quantum expanders is co-QMA-complete},
author = {Adam D. Bookatz and Stephen P. Jordan and Yi-Kai Liu and Pawel Wocjan},
journal= {arXiv preprint arXiv:1210.0787},
year = {2013}
}