CoChat
Sign Up
Cited by 1,600Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum many-body systems

The DOI matches its Crossref record; 370 of the 373 references it cites were found in a registry or an index.

The classical-quantum boundary for correlations: Discord and related measures

Open access
Modi, Kavan, Brodutch, Aharon, Cable, Hugo, Paterek, Tomasz, Vedral, Vlatko·2012·Reviews of Modern Physics
DOI 10.1103/revmodphys.84.1655
Open this paper in CoChat — free accountOpen PDF

Abstract

One of the best signatures of nonclassicality in a quantum system is the existence of correlations that have no classical counterpart. Different methods for quantifying the quantum and classical parts of correlations are among the more actively studied topics of quantum-information theory over the past decade. Entanglement is the most prominent of these correlations, but in many cases unentangled states exhibit nonclassical behavior too. Thus distinguishing quantum correlations other than entanglement provides a better division between the quantum and classical worlds, especially when considering mixed states. Here different notions of classical and quantum correlations quantified by quantum discord and other related measures are reviewed. In the first half, the mathematical properties of the measures of quantum correlations are reviewed, related to each other, and the classical-quantum division that is common among them is discussed. In the second half, it is shown that the measures identify and quantify the deviation from classicality in various quantum-information-processing tasks, quantum thermodynamics, open-system dynamics, and many-body physics. It is shown that in many cases quantum correlations indicate an advantage of quantum methods over classical ones.

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/revmodphys.84.1655

Cites

370 of 370 references verified0 citation errors · 0 not checkable

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.

A few free checks a day · papers already verified open instantly · results are public

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?

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

Flagged first, then by citations

3 of the 373 references couldn’t be matched to a known paper.

Research works printed but not linked: 3

  1. Holevo, A. S., 1973, Prob. Peredachi Inf., 9, 31
  2. Holevo, A. S., 1973, Probl. Inf. Transm., 9, 110
  3. Sen De, A., 2003, J. Mod. Opt., 50, 981

Cited by

Sorted by citations

See all 1,600

Related

See all

Metadata

Authors
Modi, K., Brodutch, A., Cable, H., Paterek, T., & Vedral, V.
Affiliations
Centre for Quantum Technologies (SG)
ORCID
Venue
Reviews of Modern Physics
Publisher
American Physical Society (APS)
Published
2012-11-26
Volume
84
Issue
4
Pages
1655-1707
ISSN
  • 0034-6861 (ISSN-L)
  • 1539-0756
DOI
10.1103/revmodphys.84.1655
OpenAlex
W2082014836
Semantic Scholar
1de3d1784cca4dc5dd2b0afb7050b4dd4c03e9ab
Cited by
1,600
References
373
Citations by year
2026: 69 · 2025: 78 · 2024: 95 · 2023: 73 · 2022: 101 · 2021: 99 · 2020: 96 · 2019: 126 · 2018: 109 · 2017: 158 · 2016: 151 · 2015: 156 · 2014: 146 · 2013: 130 · 2012: 13
FWCI
139.83
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Reviews of Modern Physics (publishedVersion)
  • arXiv (Cornell University) (publishedVersion)
  • National University of Singapore (submittedVersion)
  • DR-NTU (Nanyang Technological University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • John Templeton Foundation
  • University of Oxford
  • National Research Foundation
  • Centre for Quantum Technologies
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
quantum discord, quantum correlations, quantum-to-classical transition, nonclassicality, entanglement, mixed states, quantum thermodynamics, open-system dynamics, many-body physics, quantum advantage

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