The DOI matches its Crossref record; 54 of the 54 references it cites were found in a registry or an index.
Operational Resource Theory of Coherence
Open accessAbstract
We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Namely, we introduce the two basic concepts-"coherence distillation" and "coherence cost"-in the processing quantum states under so-called incoherent operations [Baumgratz, Cramer, and Plenio, Phys. Rev. Lett. 113, 140401 (2014)]. We, then, show that, in the asymptotic limit of many copies of a state, both are given by simple single-letter formulas: the distillable coherence is given by the relative entropy of coherence (in other words, we give the relative entropy of coherence its operational interpretation), and the coherence cost by the coherence of formation, which is an optimization over convex decompositions of the state. An immediate corollary is that there exists no bound coherent state in the sense that one would need to consume coherence to create the state, but no coherence could be distilled from it. Further, we demonstrate that the coherence theory is generically an irreversible theory by a simple criterion that completely characterizes all reversible states.
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
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2001) · Wiley eBooks · doi:10.1002/0471200611 · Cited by 36,808
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2005) · doi:10.1002/047174882x · Cited by 13,791
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
Mixed-state entanglement and quantum error correction
Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., & Wootters, W. K. (1996) · Physical Review A · doi:10.1103/physreva.54.3824 · Cited by 5,272
Inequalities: Theory of Majorization and its Applications.
Arnold, B. C., Marshall, A. W., & Olkin, I. (1981) · Journal of the American Statistical Association · doi:10.2307/2287859 · Cited by 4,870
Baumgratz, T., Cramer, M., & Plenio, M. B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.140401 · Cited by 2,741
Inequalities: Theory of Majorization and Its Applications
Marshall, A. W., Olkin, I., & Arnold, B. C. (2011) · Springer Series in Statistics · doi:10.1007/978-0-387-68276-1 · Cited by 2,567
Vedral, V., Plenio, M. B., Rippin, M. A., & Knight, P. L. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2275 · Cited by 2,018
Fidelity for Mixed Quantum States
Jozsa, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552171 · Cited by 1,911
Cited by
Entropic uncertainty relations and their applications
Coles, P. J., Berta, M., Tomamichel, M., & Wehner, S. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015002 · Cited by 658
Converting Coherence to Quantum Correlations
Ma, J., Yadin, B., Girolami, D., Vedral, V., & Gu, M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.160407 · Cited by 408
Single ion qubit with estimated coherence time exceeding one hour
Wang, P., Luan, C.-Y., Qiao, M., Um, M., Zhang, J., Wang, Y., Yuan, X., Gu, M., Zhang, J., & Kim, K. (2021) · Nature Communications · doi:10.1038/s41467-020-20330-w · Cited by 321
Relating the Resource Theories of Entanglement and Quantum Coherence
Chitambar, E., & Hsieh, M.-H. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.020402 · Cited by 276
Noise-tolerant parity learning with one quantum bit
Park, D. K., Rhee, J.-K. K., & Lee, S. (2018) · Physical Review A · doi:10.1103/physreva.97.032327 · Cited by 12
Metadata
- Authors
- Winter, A., & Yang, D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2016-03-24
- Volume
- 116
- Issue
- 12
- Pages
- 120404-120404
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1619293558
- Cited by
- 933
- References
- 54
- FWCI
- 97.65
- Type
- journal article
- Language
- en
- Open access
- green
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: Operational Resource Theory of Coherence. https://app.cochat.ai/papers/10.1103/physrevlett.116.120404
- The paper
- Winter, A., & Yang, D. (2016). Operational Resource Theory of Coherence. Physical Review Letters. https://doi.org/10.1103/physrevlett.116.120404
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.
