The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Quantum, classical, and total amount of correlations in a quantum state
Open accessAbstract
We give an operational definition of the quantum, classical, and total amounts of correlations in a bipartite quantum state. We argue that these quantities can be defined via the amount of work (noise) that is required to erase (destroy) the correlations: for the total correlation, we have to erase completely, for the quantum correlation we have to erase until a separable state is obtained, and the classical correlation is the maximal correlation left after erasing the quantum correlations. In particular, we show that the total amount of correlations is equal to the quantum mutual information, thus providing it with a direct operational interpretation. As a by-product, we obtain a direct, operational, and elementary proof of strong subadditivity of quantum entropy.
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Cites
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Self-citationSending entanglement through noisy quantum channels
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Cited by
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
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 for two-qubit systems
Luo, S. (2008) · Physical Review A · doi:10.1103/physreva.77.042303 · Cited by 1,060
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
Area Laws in Quantum Systems: Mutual Information and Correlations
Wolf, M. M., Verstraete, F., Hastings, M. B., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.070502 · Cited by 696
Metadata
- Authors
- Groisman, B., Popescu, S., & Winter, A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-09-13
- Volume
- 72
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1970986702
- Cited by
- 615
- References
- 29
- FWCI
- 15.80
- Type
- journal article
- Language
- en
- Open access
- green
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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.
