Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 658

The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.

Entropic uncertainty relations and their applications

Open access
Coles, Patrick J., Berta, Mario, Tomamichel, Marco, Wehner, Stephanie·2017·Reviews of Modern Physics

Abstract

The Heisenberg uncertainty principle has a more precise formulation in terms of inequalities involving quantum entropies. Currently known entropic uncertainty relations are presented; they capture and extend Heisenberg's idea of the unpredictability of the outcomes of incompatible measurements. Distinct results are obtained for finite- and infinite-dimensional Hilbert spaces. Applications are surveyed, including the formulation of entanglement witnesses, current ideas about wave-particle duality, and the analysis of quantum cryptography.

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.89.015002

Cites

18 of 18 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

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

Show all 18 references

Cited by

See all 658

Metadata

Authors
Coles, P. J., Berta, M., Tomamichel, M., & Wehner, S.
Venue
Reviews of Modern Physics
Published
2017-02-06
Volume
89
Issue
1
ISSN
  • 0034-6861 (ISSN-L)
  • 1539-0756
OpenAlex
W2173401535
Cited by
658
References
18
FWCI
28.19
Type
journal article
Language
en
Open access
bronze

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: Entropic uncertainty relations and their applications. https://app.cochat.ai/papers/10.1103/revmodphys.89.015002
The paper
Coles, P. J., Berta, M., Tomamichel, M., & Wehner, S. (2017). Entropic uncertainty relations and their applications. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.89.015002

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.