The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Entanglement, Quantum Phase Transitions, and Density Matrix Renormalization
Open accessOverview
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.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
A highly entangled ground state is at the heart of a large variety of collective quantum phenomena.
“On the other hand, entanglement is appointed to play a central role in the study of strongly correlated quantum systems [7][8][9], since a highly entangled ground state is at the heart of a large variety of collective quantum phenomena.”
From Entanglement in Quantum Critical Phenomena (2003) · cites this paper as [8]
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
Self-citationOn the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
Mixed-state entanglement and quantum error correction
Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., & Wootters, W. K. (1996) · Physical Review A · doi:10.1103/physreva.54.3824 · Cited by 5,272
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 4,582
Discussion of Probability Relations between Separated Systems
Schrödinger, E. (1935) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100013554 · Cited by 3,124
Bhatia, R. (1996) · Cited by 2,847
An Introduction To Quantum Field Theory
Peskin, M. E. (2018) · CRC Press eBooks · doi:10.1201/9780429503559 · Cited by 2,575
Bhatia, R. (1997) · Graduate texts in mathematics · doi:10.1007/978-1-4612-0653-8 · Cited by 2,334
Subir Sachdev, A. (1999) · Physics World · doi:10.1088/2058-7058/12/4/23 · Cited by 2,208
Natural Thermal and Magnetic Entanglement in the 1D Heisenberg Model
Arnesen, M. C., Bose, S., & Vedral, V. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.017901 · Cited by 787
Renormalization group theory: Its basis and formulation in statistical physics
Fisher, M. E. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.653 · Cited by 630
Quantum information and physics: Some future directions
Preskill, J. P. (2000) · Journal of Modern Optics · doi:10.1080/09500340008244031 · Cited by 149
Approximate transformations and robust manipulation of bipartite pure-state entanglement
Vidal, G., Jonathan, D., & Nielsen, M. A. (2000) · Physical Review A · doi:10.1103/physreva.62.012304 · Cited by 139
Self-citationEntanglement and thermodynamical analogiesPreprint
Horodecki, P., Horodecki, M., & Horodecki, R. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9805072 · Cited by 47
Thermodynamic limit and matrix-product states
Rommer, S., & Ostlund, S. S. (2008) · Springer eBooks · doi:10.1007/bfb0106065 · Cited by 5
Flagged first, then by citations
Research works printed but not linked: 7
- D. Aharonov, Phys. Rev. A. 62, 2311 (1999).
- M. A. Nielsen, Ph.D. thesis, University of New Mexico (1998), quant-ph/0011036. · arXiv
- R. M. Noack and S. R. White, in Density-matrix Renormalization (Dresden, 1998) (Springer, Berlin, 1999).
- H. Barnum (1999), quant-ph/9910072. · arXiv
- T. J. Osborne and M. A. Nielsen (2002), quant-ph/0202162. · arXiv
- P. Horodecki, R. Horodecki and M. Horodecki, Acta Phys. Slov. 48, 141 (1998).
- D. Gunlycke, S. Bose, V. M. Kendon, and V. Vedral (2001), quant-ph/0102137. · arXiv
Cited by
Sorted by citations
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Scaling of entanglement close to a quantum phase transition
Osterloh, A., Amico, L., Falci, G., & Fazio, R. (2002) · Nature · doi:10.1038/416608a · Cited by 1,860
Metadata
- Authors
- Osborne, T. J., & Nielsen, M. A.
- Affiliations
- The University of Queensland (AU)
- Venue
- Quantum Information Processing
- Published
- 2002-04
- Volume
- 1
- Issue
- 1-2
- Pages
- 45-53
- ISSN
- 1570-0755 (ISSN-L)
- 1573-1332
- OpenAlex
- W1886196868
- Cited by
- 95
- References
- 17
- Citations by year
- 2026: 3 · 2025: 2 · 2023: 2 · 2022: 3 · 2021: 2 · 2020: 6 · 2019: 4 · 2018: 2 · 2017: 5 · 2016: 2 · 2015: 4 · 2014: 2 · 2012: 5
- FWCI
- 4.37
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Quantum Information Processing (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- quantum entanglement, quantum phase transitions, density matrix renormalization group, renormalization, entanglement preservation, quantum information, quantum many-body systems
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
