Asymptotic majorization of finite probability distributions

August 15, 2018 Β· Declared Dead Β· πŸ› IEEE Transactions on Information Theory

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Authors Asger Kjærulff Jensen arXiv ID 1808.05157 Category quant-ph: Quantum Computing Cross-listed cs.IT Citations 12 Venue IEEE Transactions on Information Theory Last Checked 5 months ago
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-Γ -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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