Real-space renormalization yields finite correlations.
Publication
, Journal Article
Barthel, T; Kliesch, M; Eisert, J
Published in: Physical review letters
July 2010
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 effective degrees of freedom, and MERA states form an efficiently contractible class of PEPS that obey the area law for the entanglement entropy. It is further pointed out that there exist other efficiently contractible schemes violating the area law.
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Published In
Physical review letters
DOI
EISSN
1079-7114
ISSN
0031-9007
Publication Date
July 2010
Volume
105
Issue
1
Start / End Page
010502
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
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Barthel, T., Kliesch, M., & Eisert, J. (2010). Real-space renormalization yields finite correlations. Physical Review Letters, 105(1), 010502. https://doi.org/10.1103/physrevlett.105.010502
Barthel, Thomas, Martin Kliesch, and Jens Eisert. “Real-space renormalization yields finite correlations.” Physical Review Letters 105, no. 1 (July 2010): 010502. https://doi.org/10.1103/physrevlett.105.010502.
Barthel T, Kliesch M, Eisert J. Real-space renormalization yields finite correlations. Physical review letters. 2010 Jul;105(1):010502.
Barthel, Thomas, et al. “Real-space renormalization yields finite correlations.” Physical Review Letters, vol. 105, no. 1, July 2010, p. 010502. Epmc, doi:10.1103/physrevlett.105.010502.
Barthel T, Kliesch M, Eisert J. Real-space renormalization yields finite correlations. Physical review letters. 2010 Jul;105(1):010502.
Published In
Physical review letters
DOI
EISSN
1079-7114
ISSN
0031-9007
Publication Date
July 2010
Volume
105
Issue
1
Start / End Page
010502
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences