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arXiv · 1808.05157

Asymptotic majorization of finite probability distributions

Asger Kjærulff Jensen
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Abstract

This paper studies majorization of high tensor powers of finitely supported probability distributions. Viewing probability distributions as a resource with majorization as a means of transformation corresponds to the resource theory of pure bipartite quantum states under LOCC transformations vis-\`a-vis Nielsen's Theorem. In [T. Fritz (2017)] a formula for the asymptotic exchange rate between any two finitely supported probability distributions was conjectured. The main result of the present paper is Theorem 3.11, which resolves this conjecture.

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Asger Kjærulff Jensen. 2018-08-15. Asymptotic majorization of finite probability distributions. https://doi.org/10.1109/tit.2019.2922627

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