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On some entropy inequalities

2014/03/26 by Lin Zhang, Zhang, Lin
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical Physics (math-ph) #Optimization and Variational Analysis #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1403.6590

7 pages, LaTeX, any comments are welcome!

openalex publication_date 2014/03/26 · arxiv created 2014/04/15 · arxiv updated 2014/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short report, we give some new entropy inequalities based on Rényi relative entropy and the observation made by Berta \em et al [arXiv:1403.6102]. These inequalities obtained extends some well-known entropy inequalities. We also obtain a condition under which a tripartite operator becomes a Markov state.

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