Asymptotic majorization of finite probability distributions
arXiv:1808.05157 · doi:10.1109/TIT.2019.2922627
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-à-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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Cited by in corpus (6)
- All states are universal catalysts in quantum thermodynamics
- Geometric relative entropies and barycentric Rényi divergences
- Matrix majorization in large samples
- Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
- Matrix Majorization in Large Samples with Varying Support Restrictions
- Finite-size catalysis in quantum resource theories