# Real-space renormalization yields finite correlations.

@article{Barthel2010RealspaceRY, title={Real-space renormalization yields finite correlations.}, author={Thomas Barthel and Martin Kliesch and Jens Eisert}, journal={Physical review letters}, year={2010}, volume={105 1}, pages={ 010502 } }

Real-space renormalization approaches for quantum lattice systems generate certain hierarchical classes of states that are subsumed by the multiscale entanglement renormalization Ansatz (MERA). It is shown that, with the exception of one spatial dimension, MERA states are actually states with finite correlations, i.e., projected entangled pair states (PEPS) with a bond dimension independent of the system size. Hence, real-space renormalization generates states which can be encoded with local…

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