The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Almost all quantum states have nonclassical correlations
Open accessAbstract
Quantum discord quantifies nonclassical correlations in a quantum system including those not captured by entanglement. Thus, only states with zero discord exhibit strictly classical correlations. We prove that these states are negligible in the whole Hilbert space: typically a state picked out at random has positive discord and, given a state with zero discord, a generic arbitrarily small perturbation drives it to a positive-discord state. These results hold for any Hilbert-space dimension and have direct implications for quantum computation and for the foundations of the theory of open systems. In addition, we provide a simple necessary criterion for zero quantum discord. Finally, we show that, for almost all positive-discord states, an arbitrary Markovian evolution cannot lead to a sudden, permanent vanishing of discord.
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
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Geometry of Quantum States: An Introduction to Quantum Entanglement
Bengtsson, I., & Zyczkowski, K. (2006) · doi:10.1017/cbo9780511535048 · Cited by 1,357
Experimental Quantum Computing without Entanglement
Lanyon, B. P., Barbieri, M., Almeida, M. P., & White, A. G. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.200501 · Cited by 874
Cited by
The classical-quantum boundary for correlations: Discord and related measures
Modi, K., Brodutch, A., Cable, H., Paterek, T., & Vedral, V. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1655 · Cited by 1,600
Necessary and Sufficient Condition for Nonzero Quantum Discord
Dakić, B., Vedral, V., & Brukner, Č. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.190502 · Cited by 1,203
Giorda, P., & Paris, M. G. A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.020503 · Cited by 490
Geometric measure of quantum discord
Luo, S., & Fu, S. (2010) · Physical Review A · doi:10.1103/physreva.82.034302 · Cited by 476
Quantum discord as resource for remote state preparation
Dakić, B., Lipp, Y. O., Ma, X., Ringbauer, M., Kropatschek, S., Barz, S., Paterek, T., Vedral, V., Zeilinger, A., Brukner, Č., et al. (2012) · Nature Physics · doi:10.1038/nphys2377 · Cited by 462
Metadata
- Authors
- Ferraro, A., Aolita, L., Cavalcanti, D., Cucchietti, F. M., & Acín, A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-05-17
- Volume
- 81
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2041867773
- Cited by
- 513
- References
- 3
- FWCI
- 80.94
- Type
- journal article
- Language
- en
- Open access
- hybrid
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: Almost all quantum states have nonclassical correlations. https://app.cochat.ai/papers/10.1103/physreva.81.052318
- The paper
- Ferraro, A., Aolita, L., Cavalcanti, D., Cucchietti, F. M., & Acín, A. (2010). Almost all quantum states have nonclassical correlations. Physical Review A. https://doi.org/10.1103/physreva.81.052318
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.
