The Conditional Entropy Power Inequality for Bosonic Quantum Systems
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-3082-8
Abstract: We prove the conditional Entropy Power Inequality for Gaussian quantum systems. This fundamental inequality determines the minimum quantum conditional von Neumann entropy of the output of the beam-splitter or of the squeezing among all the… read more here.
Keywords: quantum; entropy; conditional entropy; power inequality ... See more keywords
The concavity of p-Rényi entropy power for doubly nonlinear diffusion equations and L-Gagliardo-Nirenberg-Sobolev inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123698
Abstract: Abstract We prove the concavity of p-Renyi entropy power for positive solutions to the doubly nonlinear diffusion equations on R n or compact Riemannian manifolds with nonnegative Ricci curvature. As applications, we give new proofs… read more here.
Keywords: gagliardo nirenberg; diffusion equations; concavity; doubly nonlinear ... See more keywords
Unifying the Brascamp-Lieb Inequality and the Entropy Power Inequality
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3192913
Abstract: The entropy power inequality (EPI) and the Brascamp-Lieb inequality (BLI) are fundamental inequalities concerning the differential entropies of linear transformations of random vectors. The EPI provides lower bounds for the differential entropy of linear transformations… read more here.
Keywords: power inequality; lieb inequality; brascamp lieb; entropy ... See more keywords