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arXiv:1907.13313 · Physical Review A

Tsallis entropy, q -expectation value, and constraints on three-party quantum correlations

Jeong San Kim

Published Sep 19, 2019• 6 citations
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Abstract

We show that the mutually exclusive nature of classical and quantum correlations distributed in multiparty quantum systems can be characterized in terms of $q$-expectation value. Using Tsallis $q$ entropy and $q$-expectation value, we first provide generalized definitions of classical and quantum correlations, and establish their trade-off relations in three-party quantum systems of arbitrary dimension with respect to $q$-expectation value for $q\ensuremath{\ge}1$. We also provide equivalence conditions for monogamy and polygamy inequalities of quantum entanglement and quantum discord distributed in three-party quantum systems of arbitrary dimension with respect to $q$-expectation value for $q\ensuremath{\ge}1$.

DOI
10.1103/physreva.100.032327

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