Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
Integrity signals
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
The relative entropy is monotonic under completely positive trace preserving (CPTP) maps.
“The second crucial property of the relative entropy is its monotonicity under completely positive 7 trace preserving (CPTP) maps.”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [113]
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Sorted by citations
Wehrl, A. (1978) · Reviews of Modern Physics · doi:10.1103/revmodphys.50.221 · Cited by 1,963 · see citing works
The Theory of Quantum Information
Watrous, J. (2018) · doi:10.1017/9781316848142 · Cited by 1,325 · see citing works
Quantum non-Markovianity: characterization, quantification and detection
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/094001 · Cited by 1,035 · see citing works
Quasi-entropies for finite quantum systems
Petz, D. (1986) · Reports on Mathematical Physics · doi:10.1016/0034-4877(86)90067-4 · Cited by 500 · see citing works
MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
PETZ, D. (2003) · Reviews in Mathematical Physics · doi:10.1142/s0129055x03001576 · Cited by 164 · see citing works
Universal Recovery Maps and Approximate Sufficiency of Quantum Relative Entropy
Junge, M., Renner, R., Sutter, D., Wilde, M. M., & Winter, A. (2018) · Annales Henri Poincaré · doi:10.1007/s00023-018-0716-0 · Cited by 118 · see citing works
The Squashed Entanglement of a Quantum Channel
Takeoka, M., Guha, S., & Wilde, M. M. (2014) · IEEE Transactions on Information Theory · doi:10.1109/tit.2014.2330313 · Cited by 107 · see citing works
Holographic spacetime, black holes and quantum error correcting codes: a review
Kibe, T., Mandayam, P., & Mukhopadhyay, A. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10382-1 · Cited by 44 · see citing works
“This is often referred to as Uhlmann’s theorem [111] in quantum information theory.”
Background
- Authors
- Uhlmann, A.
- Affiliations
- Leipzig University (DE)
- Corresponding author
- Uhlmann, A.
- Venue
- Communications in Mathematical Physics
- Published
- 1977-02
- Volume
- 54
- Issue
- 1
- Pages
- 21-32
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2076249063
- Cited by
- 431
- References
- 0
- Citations by year
- 2026: 22 · 2025: 23 · 2024: 13 · 2023: 13 · 2022: 14 · 2021: 15 · 2020: 12 · 2019: 18 · 2018: 28 · 2017: 21 · 2016: 21 · 2015: 14 · 2014: 16 · 2013: 11 · 2012: 6
- FWCI
- 3.33
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Inequalities and Applications
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- Kullback-Leibler divergence, interpolation theory, seminorms, joint convexity, completely positive maps, quantum information
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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.
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