The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.
Geometric measure of quantum discord
Abstract
Dakic, Vedral, and Brukner [arXiv:1004.0190 (2010)] introduced a geometric measure of quantum discord and derived an explicit formula for any two-qubit state. This measure is significant in capturing quantum correlations from a geometric perspective. In this brief report, we evaluate the geometric measure of quantum discord for an arbitrary state and obtain an explicit and tight lower bound. Furthermore, we reveal an intrinsic feature of geometric measure of quantum discord by showing that it actually coincides with a simpler quantity based on von Neumann measurements.
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
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Werner, R. F. (1989) · Physical Review A · doi:10.1103/physreva.40.4277 · Cited by 4,062
Quantum Discord: A Measure of the Quantumness of Correlations
Ollivier, H., & Zurek, W. H. (2001) · Physical Review Letters · doi:10.1103/physrevlett.88.017901 · Cited by 3,616
Classical, quantum and total correlations
Henderson, L., & Vedral, V (2001) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/34/35/315 · Cited by 2,367
Quantum Discord and the Power of One Qubit
Datta, A., Shaji, A., & Caves, C. M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.050502 · Cited by 1,258
Quantum discord for two-qubit systems
Luo, S. (2008) · Physical Review A · doi:10.1103/physreva.77.042303 · Cited by 1,060
Self-citationExperimental 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
Quantum discord for two-qubitXstates
Ali, M., Rau, A. R. P., & Alber, G. (2010) · Physical Review A · doi:10.1103/physreva.81.042105 · Cited by 834
Unified View of Quantum and Classical Correlations
Modi, K., Paterek, T., Son, W., Vedral, V., & Williamson, M. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.080501 · Cited by 802
Using measurement-induced disturbance to characterize correlations as classical or quantum
Luo, S. (2008) · Physical Review A · doi:10.1103/physreva.77.022301 · Cited by 667
Self-citation
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
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
Measurement-Induced Nonlocality
Luo, S., & Fu, S. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.120401 · Cited by 356
Self-citationGlobal quantum discord in multipartite systems
Rulli, C. C., & Sarandy, M. S. (2011) · Physical Review A · doi:10.1103/physreva.84.042109 · Cited by 311
Computing quantum discord is NP-complete
Huang, Y. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/3/033027 · Cited by 286
Metadata
- Authors
- Luo, S., & Fu, S.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-09-13
- Volume
- 82
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1983125724
- Cited by
- 476
- References
- 38
- FWCI
- 47.61
- Type
- journal article
- Language
- en
- Open access
- closed
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: Geometric measure of quantum discord. https://app.cochat.ai/papers/10.1103/physreva.82.034302
- The paper
- Luo, S., & Fu, S. (2010). Geometric measure of quantum discord. Physical Review A. https://doi.org/10.1103/physreva.82.034302
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.