Matrix product state approximations for infinite systems

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.

obsolete due to a stronger result by Yichen Huang (arXiv:1505.00772, Corollary 1)