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

Abstract

We show that the mutually exclusive nature of classical and quantum correlations distributed in multi-party quantum systems can be characterized in terms of $q$-expectation. Using Tsallis-$q$ entropy and $q$-expectation, 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 for $q\ge 1$. 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 for $q\ge 1$.

8 pages, no figure

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Cited by in corpus (2)

• Independence of work and entropy for equal energetic finite quantum systems: Passive state energy as an entanglement quantifier
• Polygamy of multi-party $q$-expected quantum entanglement