Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems

Abstract

We provide a generalization for the polygamy constraint of multiparty entanglement in arbitrary dimensional quantum systems. By using the $\beta$th-power of entanglement of assistance for $0\le \beta \le 1$ and the Hamming weight of the binary vector related with the distribution of subsystems, we establish a class of weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems. We further show that our class of weighted polygamy inequalities can even be improved to be tighter inequalities with some conditions on the assisted entanglement of bipartite subsystems.

6 pages, no figure. arXiv admin note: text overlap with arXiv:1801.09882

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• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Polygamy relations of multipartite systems
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• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
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• Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems
• Weighted monogamy and polygamy relations
• Strong polygamy and monogamy relations for multipartite quantum systems
• Polygamy Inequalities for Qubit Systems
• Superior monogamy and polygamy relations and estimates of concurrence
• Tighter bounds for generalized monogamy and polygamy relations
• Unified monogamy and polygamy relations for multipartite systems