Tighter monogamy and polygamy relations based on the generalized W-class states
Entanglement monogamy and polygamy are indispensable features of multipartite quantum systems that describe the entanglement distribution characteristics in these systems.Under the arbitrary partition of superposition of generalized W-class and vacuum states,we investigate a class of monogamy and polygamy inequality based on Tsallis-q and Rényi-q entropy entanglements.We show with concrete examples that parameter selection reduces these inequalities to some existing inequalities;that is,the existing inequalities can be considered a special case of this new class of inequality.Otherwise,these inequalities are tighter than existing ones and are finer representations of entanglement distributions in tripartite and multipartite quantum systems.The inequality of monogamy and polygamy established in this paper has wider applicability.
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