Renormalization of tensor networks using graph independent local truncations

@article{Hauru2018RenormalizationOT,
  title={Renormalization of tensor networks using graph independent local truncations},
  author={Markus Hauru and Cl{\'e}ment Delcamp and Sebastian Mizera},
  journal={Physical Review B},
  year={2018},
  volume={97},
  pages={045111}
}
  • Markus Hauru, Clément Delcamp, Sebastian Mizera
  • Published 2018
  • Mathematics, Physics
  • Physical Review B
  • We introduce an efficient algorithm for reducing bond dimensions in an arbitrary tensor network without changing its geometry. The method is based on a novel, quantitative understanding of local correlations in a network. Together with a tensor network coarse-graining algorithm, it yields a proper renormalization group (RG) flow. Compared to existing methods, the advantages of our algorithm are its low computational cost, simplicity of implementation, and applicability to any network. We… CONTINUE READING

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