The DOI matches its Crossref record; 35 of the 37 references it cites were found in a registry or an index.
Area Laws in Quantum Systems: Mutual Information and Correlations
Open accessAbstract
The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. In this Letter we show that this phenomenon not only emerges in the search for new Planck-scale laws but also in lattice models of classical and quantum physics: the information contained in part of a system in thermal equilibrium obeys an area law. While the maximal information per unit area depends classically only on the number of degrees of freedom, it may diverge as the inverse temperature in quantum systems. It is shown that an area law is generally implied by a finite correlation length when measured in terms of the mutual information.
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“Thus we see that, as one might expect from our discussion around (3.19), the presence of nonzero correlation between O and X E puts a limit on how accurately we can correct for the erasure of E .”
From Bulk locality and quantum error correction in AdS/CFT (2015) · cites this paper as [31]
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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
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Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Raussendorf, R., & Briegel, H. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5188 · Cited by 4,477
Entanglement entropy and quantum field theory
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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
Persistent Entanglement in Arrays of Interacting Particles
Briegel, H. J., & Raussendorf, R. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.910 · Cited by 1,950
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
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Osborne, T. J., & Nielsen, M. A. (2002) · Physical Review A · doi:10.1103/physreva.66.032110 · Cited by 1,472
Research works printed but not linked: 1
- H. Casini, J. Stat. Mech., 2005, P07007
Cited by
Sorted by citations
Colloquium : 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
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Verstraete, F., Murg, V., & Cirac, J. I. (2008) · Advances In Physics · doi:10.1080/14789940801912366 · Cited by 1,841
Self-citationEntanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688
“I (n) A:B does not have all the correct properties to be an entanglement measure (see the review by Amico and Fazio in this special issue [8] for a discussion of various entanglement measures), but it has the fundamental property of satisfying the area law [6, 9], even at finite temperature [10].”
BackgroundBlack holes and the butterfly effect
Shenker, S. H., & Stanford, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)067 · Cited by 1,533
Metadata
- Authors
- Wolf, M. M., Verstraete, F., Hastings, M. B., & Cirac, J. I.
- Affiliations
- Max Planck Society (DE)
- University of Vienna (AT)
- Los Alamos National Laboratory (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-02-20
- Volume
- 100
- Issue
- 7
- Pages
- 070502-070502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2014461107
- Cited by
- 696
- References
- 37
- Citations by year
- 2026: 28 · 2025: 58 · 2024: 43 · 2023: 58 · 2022: 68 · 2021: 35 · 2020: 43 · 2019: 50 · 2018: 41 · 2017: 21 · 2016: 39 · 2015: 48 · 2014: 43 · 2013: 42 · 2012: 18
- FWCI
- 11.42
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- Ghent University Academic Bibliography (Ghent University) (submittedVersion, other-oa)
- Max Planck Institute for Plasma Physics (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DE-AC52-06NA2-5396, AC52-06NA25396)
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- area law, holographic principle, mutual information, quantum correlations, finite correlation length, lattice model, thermal equilibrium
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