The variational quantum eigensolver has been proposed as a low-depth quantum circuit that can be employed to examine strongly correlated systems on today's noisy intermediate-scale quantum computers. We examine details associated with the factorized form of the unitary coupled-cluster variant of this algorithm. We apply it to a simple strongly correlated condensed-matter system with nontrivial behavior---the four-site Hubbard model at half filling. This work show some of the subtle issues one needs to take into account when applying this algorithm in practice, especially to condensed-matter systems.
@article{arxiv.2001.06957,
title = {Test of the unitary coupled-cluster variational quantum eigensolver for a simple strongly correlated condensed-matter system},
author = {Luogen Xu and Joseph T. Lee and J. K. Freericks},
journal= {arXiv preprint arXiv:2001.06957},
year = {2020}
}
Comments
12 pages, 4 figures, conference proceedings for ECSN-2019