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}
}
  • Brenden Roberts, T. Vidick, O. Motrunich
  • Published 2017
  • Physics, Mathematics
  • Physical Review B
  • 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

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