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Cited by 696Quantum many-body systemsBlack Holes and Theoretical PhysicsQuantum Information and Cryptography

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

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Wolf, Michael M., Verstraete, Frank, Hastings, Matthew B., Cirac, J. Ignacio·2008·Physical Review Letters
DOI 10.1103/physrevlett.100.070502
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Abstract

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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  1. H. Casini, J. Stat. Mech., 2005, P07007

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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)
ORCID
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
DOI
10.1103/physrevlett.100.070502
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
Licence
link.aps.org/licenses/aps-default-license (vor)
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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