Matrix product state approximations for infinite systems
arXiv:1711.06559
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)
Cited by in corpus (5)
- Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell
- Approximating local properties by tensor network states with constant bond dimension
- Generation of photonic tensor network states with Circuit QED
- Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement
- Non-local order parameters for fermion chains via the partial transpose