The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
The proper formula for relative entropy and its asymptotics in quantum probability
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Citations
Cites
On Information and Sufficiency
Kullback, S., & Leibler, R. A. (1951) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729694 · Cited by 20,193
Quantum detection and estimation theory
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Entropy, Large Deviations, and Statistical Mechanics
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Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
Uhlmann, A. (1977) · Communications in Mathematical Physics · doi:10.1007/bf01609834 · Cited by 431
Relative Entropy of States of von Neumann Algebras
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Relative Entropy for States of von Neumann Algebras II
Araki, H. (1977) · Publications of the Research Institute for Mathematical Sciences · doi:10.2977/prims/1195190105 · Cited by 356
Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
Petz, D. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01212345 · Cited by 333
Self-citationEntropy for automorphisms of II1 von neumann algebras
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Sufficiency, KMS condition and relative entropy in von Neumann algebras
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Self-citationC*-algebraic generalization of relative entropy and entropy
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Large groups of automorphisms of C*-algebras
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Sufficiency and relative entropy in ∗-algebras with applications in quantum systems
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Self-citationErgodic states in a non commutative ergodic theory
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Self-citation
Cited by
Entanglement measures and purification procedures
Vedral, V., & Plenio, M. B. (1998) · Physical Review A · doi:10.1103/physreva.57.1619 · Cited by 1,419
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
A Fully Quantum Asymptotic Equipartition Property
Tomamichel, M., Colbeck, R., & Renner, R. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2032797 · Cited by 356
A Survey on Quantum Channel Capacities
Gyongyosi, L., Imre, S., & Nguyen, H. V. (2018) · IEEE Communications Surveys & Tutorials · doi:10.1109/comst.2017.2786748 · Cited by 337
Entanglement theory and the second law of thermodynamics
Brandão, F. G. S. L., & Plenio, M. B. (2008) · Nature Physics · doi:10.1038/nphys1100 · Cited by 189
Metadata
- Authors
- Hiai, F., & Petz, D.
- Venue
- Communications in Mathematical Physics
- Published
- 1991-12
- Volume
- 143
- Issue
- 1
- Pages
- 99-114
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W1968087916
- Cited by
- 522
- References
- 25
- FWCI
- 1.14
- Type
- journal article
- Language
- en
- Open access
- closed
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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.