Classical and quantum features of Schur transform for information processing
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MQIW05  Beyond I.I.D. in information theory
It is wellknown that Gaussian random variables have many attractive properties: they are maximum entropy, they are stable under addition and scaling, they give equality in the Entropy Power Inequality (and hence give sharp logSobolev inequalities) and have good entropy concavity properties. I will discuss the extent to which results of this kind can be formulated for discrete random variables, and how they relate to ideas of discrete logconcavity.
This talk is part of the Isaac Newton Institute Seminar Series series.
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