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arXiv · 2105.10850

Multipartite Correlated Majorization Criteria for Finite Discrete Probability

Thomas Oikonomou·G. Baris Bagci·Charles Casimiro Cavalcante
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Abstract

In this paper we study multipartite and correlated majorization of the finite discrete probability distributions emerging in quantum information theory. We start proving the subadditivity of the R\'{e}nyi and Burg entropies, and we show that the criteria for such a generalized majorization scheme can be provided solely in terms of the R\'{e}nyi and Burg entropies. Surprisingly, the same set of criteria applies both to the correlated and uncorrelated cases. Finally, based on our findings in majorization, we give a proof of the characterization of the R\'{e}nyi and Burg entropies in terms of continuity, symmetry and (sub)additivity.

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Thomas Oikonomou, G. Baris Bagci, Charles Casimiro Cavalcante. 2021-05-23. Multipartite Correlated Majorization Criteria for Finite Discrete Probability. https://arxiv.org/abs/2105.10850

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