Strong polygamy of multi-party $q$-expected quantum correlations

• URL: http://arxiv.org/abs/2101.05416v2
• Date: Tue, 2 Feb 2021 08:49:34 GMT
• Title: Strong polygamy of multi-party $q$-expected quantum correlations
• Authors: Jeong San Kim
• Abstract summary: We show that the polygamous nature of multi-party quantum correlations can be characterized in a em stronger form based on Tsallis $q$-entropy and $q$-expectation value. We further establish the equivalence between strong polygamy inequalities of quantum entanglement and quantum discord distributed in multi-party quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show that the polygamous nature of multi-party quantum correlations can be characterized in a {\em stronger} form based on Tsallis $q$-entropy and $q$-expectation value. By considering the amount of entanglement that can be distributed in multi-party systems, we establish a class of strong polygamy inequalities of multi-party entanglement in terms of Tsallis $q$-entropy and $q$-expectation for $q \geq 1$. Our new class of inequalities is in fact tighter than the usual polygamy inequalities of multi-party entanglement, and the tightness is explicitly illustrated by an example. Moreover, our new class of inequalities is concerned with the $q$-expected entanglement distributed between a single party and any possible subsets of the rest parties whereas the usual polygamy inequality only considers the entanglement between a single party and another. We further establish the equivalence between strong polygamy inequalities of quantum entanglement and quantum discord distributed in multi-party quantum systems.

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