Tighter constraints of multiqubit entanglement in terms of unified entropy

TL;DR

This paper introduces tighter monogamy and polygamy inequalities for multiqubit entanglement using unified entropy, enhancing the understanding of quantum entanglement constraints with detailed examples.

Contribution

It develops new monogamy and polygamy inequalities based on unified entropy that are demonstrably tighter than previous bounds.

Findings

New monogamy inequalities for entanglement measures.

Polygamy inequalities related to entanglement of assistance.

Examples illustrating the improved bounds.

Abstract

We present classes of monogamy inequalities related to the $\alpha$-th ($\alpha \geq 1$) power of the entanglement measure based on the unified-($q,s$) entropy, and polygamy inequalities related to the $\beta$-th ($0 \leq \beta \leq 1$) power of the unified-($q,s$) entanglement of assistance by using Hamming weight. We show that these monogamy and polygamy inequalities are tighter than the existing ones. Detailed examples are given for illustrating the advantages.