Quasi-entropies for finite quantum systems
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The Renyi quantum relative entropy satisfies information processing inequality and vanishing on identical states for s ∈ (0,1) ∪ (1,2], and is jointly convex for s ∈ (0,1).
“it satisfies both Eq. (3.1) and Eq. (3.2) for s ∈ (0 , 1) ∪ (1 , 2] [52]. Also the function is jointly convex for s ∈ (0 , 1) [43, 49, 52].”
From Quantum speed limits, coherence, and asymmetry (2016) · cites this paper as [43]
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References 26 · Cited by 500
- Authors
- Petz, D.
- Venue
- Reports on Mathematical Physics
- Publisher
- Elsevier BV
- Published
- 1986-02
- Volume
- 23
- Issue
- 1
- Pages
- 57-65
- ISSN
- 0034-4877 (ISSN-L)
- OpenAlex
- W2004980778
- Cited by
- 500
- References
- 26
- Citations by year
- 2026: 28 · 2025: 44 · 2024: 42 · 2023: 37 · 2022: 38 · 2021: 35 · 2020: 33 · 2019: 30 · 2018: 22 · 2017: 25 · 2016: 20 · 2015: 21 · 2014: 14 · 2013: 11 · 2012: 11
- FWCI
- 0.65
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Reports on Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Inequalities and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- finite quantum systems, operator convex functions, Jensen's inequality, classical entropy
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