Tighter constraints of multiqubit entanglement in terms of R\'{e}nyi-$\alpha$ entropy

TL;DR

This paper introduces tighter monogamy and polygamy inequalities for multiqubit entanglement using Rényi-$\alpha$ entropy, advancing the understanding of entanglement distribution in quantum systems.

Contribution

It proposes a new class of inequalities based on the $\mu$th power of Rényi-$\alpha$ entanglement, improving the bounds on entanglement sharing.

Findings

Tighter monogamy inequalities for multiqubit systems.

Enhanced polygamy relations in terms of Rényi-$\alpha$ entanglement of assistance.

Theoretical demonstration of improved bounds over existing relations.

Abstract

Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related to the $\mu$th power of the entanglement measure based on R\'{e}nyi-$\alpha$ entropy, as well as polygamy relations in terms of the $\mu$th powered of R\'{e}nyi-$\alpha$ entanglement of assistance. These monogamy and polygamy relations are shown to be tighter than the existing ones.