Classical and quantum features of Schur transform for information processing

Update: 2018-07-27

Description

It is well-known 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 log-Sobolev 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 log-concavity.

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Classical and quantum features of Schur transform for information processing

#box-pro-ellipsis-17348576699577{-webkit-line-clamp:2;}Classical and quantum features of Schur transform for information processing

Classical and quantum features of Schur transform for information processing

Cambridge University

Classical and quantum features of Schur transform for information processing