The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Algorithms for entanglement renormalization
Open accessAbstract
We describe an iterative method to optimize the multiscale entanglement renormalization ansatz for the low-energy subspace of local Hamiltonians on a $D$-dimensional lattice. For translation-invariant systems the cost of this optimization is logarithmic in the linear system size. Specialized algorithms for the treatment of infinite systems are also described. Benchmark simulation results are presented for a variety of one-dimensional systems, namely, Ising, Potts, $XX$, and Heisenberg models. The potential to compute expected values of local observables, energy gaps, and correlators is investigated.
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Cites
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
The renormalization group: Critical phenomena and the Kondo problem
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Moore, M. A. (1983) · Physics Bulletin · doi:10.1088/0031-9112/34/4/045 · Cited by 4,413
Two soluble models of an antiferromagnetic chain
Lieb, E., Schultz, T., & Mattis, D. (1961) · Annals of Physics · doi:10.1016/0003-4916(61)90115-4 · Cited by 4,280
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Density-matrix algorithms for quantum renormalization groups
White, S. R. (1993) · Physical Review B · doi:10.1103/physrevb.48.10345 · Cited by 3,244
Di Francesco, P., Mathieu, P., & Sénéchal, D. (1997) · Graduate Texts in Contemporary Physics · doi:10.1007/978-1-4612-2256-9 · Cited by 3,219
Efficient Classical Simulation of Slightly Entangled Quantum Computations
Vidal, G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.147902 · Cited by 2,368
Self-citationEfficient Simulation of One-Dimensional Quantum Many-Body Systems
Vidal, G. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.040502 · Cited by 1,779
Self-citationThe one-dimensional Ising model with a transverse field
Pfeuty, P. (1970) · Annals of Physics · doi:10.1016/0003-4916(70)90270-8 · Cited by 1,688
Cited by
Verstraete, F., Murg, V., & Cirac, J. I. (2008) · Advances in Physics · doi:10.1080/14789940801912366 · Cited by 1,762
Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
Pastawski, F., Yoshida, B., Harlow, D., & Preskill, J. (2015) · Journal of High Energy Physics · doi:10.1007/jhep06(2015)149 · Cited by 958
Efficient quantum state tomography
Cramer, M., Plenio, M. B., Flammia, S. T., Somma, R., Gross, D., Bartlett, S. D., Landon-Cardinal, O., Poulin, D., & Liu, Y.-K. (2010) · Nature Communications · doi:10.1038/ncomms1147 · Cited by 666
Studying Two-Dimensional Systems with the Density Matrix Renormalization Group
Stoudenmire, E. M., & White, S. R. (2012) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-020911-125018 · Cited by 451
Tensor Network Renormalization
Evenbly, G., & Vidal, G. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.180405 · Cited by 362
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Metadata
- Authors
- Evenbly, G., & Vidal, G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2009-04-07
- Volume
- 79
- Issue
- 14
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2055670190
- Cited by
- 337
- References
- 26
- FWCI
- 9.85
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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