Matrix product state approximations for infinite systems
Strongly Correlated Electrons
2017-11-27 v2 Quantum Physics
Abstract
We prove that ground states of gapped local Hamiltonians on an infinite spin chain can be efficiently approximated by matrix product states with a bond dimension which scales as D~(L-1)/epsilon, where any local quantity on L consecutive spins is approximated to accuracy epsilon.
Keywords
Cite
@article{arxiv.1711.06559,
title = {Matrix product state approximations for infinite systems},
author = {Norbert Schuch and Frank Verstraete},
journal= {arXiv preprint arXiv:1711.06559},
year = {2017}
}
Comments
obsolete due to a stronger result by Yichen Huang (arXiv:1505.00772, Corollary 1)