The DOI matches its Crossref record; 148 of the 148 references it cites were found in a registry or an index.
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
Open accessAbstract
This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 18,842
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
The renormalization group: Critical phenomena and the Kondo problem
Wilson, K. G. (1975) · Reviews of Modern Physics · doi:10.1103/revmodphys.47.773 · Cited by 4,522
Raussendorf, R., & Briegel, H. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5188 · Cited by 4,477
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1153 · Cited by 3,695
Cold Bosonic Atoms in Optical Lattices
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3108 · Cited by 3,685
Self-citationResistance Minimum in Dilute Magnetic Alloys
Kondo, J. (1964) · Progress of Theoretical Physics · doi:10.1143/ptp.32.37 · Cited by 3,658
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
Research works printed but not linked: 18
- Verstraete , F and Winter , A . in preparation ,
- 10.1080/00207217.2012.669716 · DOI
- Jozsa , R and Linden , N . 2002 . Preprint quant-ph/0201143v2 , · arXiv
- Calabrese , P and Cardy , J . 2004 . J. Stat. Mech. , 0406 : P002
- 10.1103/PhysRevB.21.1044 · doi:10.1103/physrevb.21.1044
- Perez-Garcia , D , Verstraete , F , Wolf , MM and Cirac , JI . 2007 . Quantum Inf. Comput. , 7 : 401
- 10.1007/BF01313293 · doi:10.1007/bf01313293
- Verstraete , F , Weichselbaum , A , Schollwöck , U , Cirac , JI and von Delft , J . 2005 . Preprint cond-mat/0504305v2 , · arXiv
- Verstraete , F . in preparation ,
- Shi , YY and Markov , I . 2005 . Preprint quant-ph/0511069 , · arXiv
- Vidal , G . 2006 . Preprint quant-ph/0610099v1 , · arXiv
- Vidal , G . 2007 . Preprint 0707.1454 ,
- Singh , S , Zhou , HQ and Vidal , G . 2007 . Preprint cond-mat/0701427 , · arXiv
- Verstraete , F and Cirac , JI . 2005 . J. Stat. Mech. , 0509 : P012
- Jordan , J , Orus , R , Vidal , G , Verstraete , F and Cirac , JI . 2007 . Preprint cond-mat/0703788v3 , · arXiv
- Syljuasen , OF . 2004 . Phys. Rev. B , 322 : 25
- Peschel , I , Kaulke , M and Legeza , O . 1999 . Ann. Phys. (Leipzig) , 8 : 153
- Schuch , N , Cirac , JI and Verstraete , F . Preprint 0802.3351v1 ,
Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932
“For more details we direct the reader to the two reviews (Cirac and Verstraete, 2009; Verstraete et al., 2008) and the references therein.”
BackgroundColloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
Solving the quantum many-body problem with artificial neural networks
Carleo, G., & Troyer, M. (2017) · Science · doi:10.1126/science.aag2302 · Cited by 2,215
Metadata
- Authors
- Verstraete, F., Murg, V., & Cirac, J. I.
- Venue
- Advances in Physics
- Publisher
- Informa UK Limited
- Published
- 2008-03
- Volume
- 57
- Issue
- 2
- Pages
- 143-224
- ISSN
- 0001-8732 (ISSN-L)
- 1460-6976
- OpenAlex
- W2096391265
- Cited by
- 1,762
- References
- 148
- FWCI
- 21.85
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems. https://app.cochat.ai/papers/10.1080/14789940801912366
- The paper
- Verstraete, F., Murg, V., & Cirac, J. I. (2008). Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems. Advances in Physics. https://doi.org/10.1080/14789940801912366
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.