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arXiv · 1612.04480

Tsallis entropy and general polygamy of multi-party quantum entanglement in arbitrary dimensions

Jeong San Kim
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Abstract

We establish a unified view to the polygamy of multi-party quantum entanglement in arbitrary dimensions. Using quantum Tsallis-$q$ entropy, we provide a one-parameter class of polygamy inequalities of multi-party quantum entanglement. This class of polygamy inequalities reduces to the known polygamy inequalities based on tangle and entanglement of assistance for a selective choice of the parameter $q$. We further provide one-parameter generalizations of various quantum correlations based on Tsallis-$q$ entropy. By investigating the properties of the generalized quantum correlations, we provide a sufficient condition, on which the Tsallis-$q$ polygamy inequalities hold in multi-party quantum systems of arbitrary dimensions.

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Jeong San Kim. 2016-12-14. Tsallis entropy and general polygamy of multi-party quantum entanglement in arbitrary dimensions. https://arxiv.org/abs/1612.04480

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