Weighted $p$-R\'{e}nyi Entropy Power Inequality: Information Theory to Quantum Shannon Theory

• URL: http://arxiv.org/abs/2311.06484v1
• Date: Sat, 11 Nov 2023 05:47:29 GMT
• Title: Weighted $p$-R\'{e}nyi Entropy Power Inequality: Information Theory to Quantum Shannon Theory
• Authors: Junseo Lee, Hyeonjun Yeo, Kabgyun Jeong
• Abstract summary: We study the $p$-R'enyi entropy power inequality with a weight factor $t$ on two independent continuous random variables $X$ and $Y$. Our research provides a key result that can be used as a fundamental research finding in quantum Shannon theory, as it offers a R'enyi version of the entropy power inequality for quantum systems.
• Score: 0.8988769052522807
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the $p$-R\'{e}nyi entropy power inequality with a weight factor $t$ on two independent continuous random variables $X$ and $Y$. The extension essentially relies on a modulation on the sharp Young's inequality due to Bobkov and Marsiglietti. Our research provides a key result that can be used as a fundamental research finding in quantum Shannon theory, as it offers a R\'{e}nyi version of the entropy power inequality for quantum systems.

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