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Entanglement Theory Quantum Correlations

Distribution of Mutual Information in Multipartite States

arXiv
Authors: Jonas Maziero

Year

2013

Paper ID

33125

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

Using the relative entropy of total correlation, we derive an expression relating the mutual information of n-partite pure states to the sum of the mutual informations and entropies of its marginals and analyze some of its implications. Besides, by utilizing the extended strong subadditivity of von Neumann entropy, we obtain generalized monogamy relations for the total correlation in three-partite mixed states. These inequalities lead to a tight lower bound for this correlation in terms of the sum of the bipartite mutual informations. We use this bound to propose a measure for residual three-partite total correlation and discuss the non-applicability of this kind of quantifier to measure genuine multiparty correlations.

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  • Using the relative entropy of total correlation, we derive an expression relating the mutual information of n-partite pure states to the sum of the mutual informations and...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.4563 [2] arXiv https://arxiv.org/abs/1308.4563 [3] Publisher https://arxiv.org/abs/1308.4563

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