The asymptotic spectrum of LOCC transformations

Jensen, Asger Kjaerulff; Vrana, Péter

doi:10.48550/arxiv.1807.05130

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2018

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“…This paper started out as a section in [4]. As the section grew larger and we were made aware of the conjecture in [2,Example 8.26], it was decided to write a seperate paper proving this conjecture, while developing the necessary techniques properly.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic majorization of finite probability distributions

Jensen

2018

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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-à-vis Nielsen's Theorem [1]. In [2, Example 8.26] 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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Section: Introductionmentioning

confidence: 99%