# Implementation of rigorous renormalization group method for ground space and low-energy states of local Hamiltonians

@article{Roberts2017ImplementationOR, title={Implementation of rigorous renormalization group method for ground space and low-energy states of local Hamiltonians}, author={Brenden Roberts and T. Vidick and O. Motrunich}, journal={Physical Review B}, year={2017}, volume={96}, pages={214203} }

The success of polynomial-time tensor network methods for computing ground states of certain quantum local Hamiltonians has recently been given a sound theoretical basis by Arad et al. [Math. Phys. 356, 65 (2017)]. The convergence proof, however, relies on “rigorous renormalization group” (RRG) techniques which differ fundamentally from existing algorithms. We introduce a practical adaptation of the RRG procedure which, while no longer theoretically guaranteed to converge, finds matrix product… CONTINUE READING

9 Citations

Locally accurate MPS approximations for ground states of one-dimensional gapped local Hamiltonians

- Mathematics, Physics
- 2019

6

Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field.

- Physics, Medicine
- 2019

4

Rigorous Rg Algorithms and Area Laws for Low Energy Eigenstates In 1D

- Mathematics, Computer Science
- 2017

17