# General Monogamy Relations for Multiqubit W-class States in terms of negativity and squared R\'enyi-$\alpha$ entanglement

## TL;DR

This paper establishes new monogamy inequalities for multiqubit W-class states using negativity and squared Rényi-$ extalpha$ entanglement, providing analytical bounds and relations for these quantum correlations.

## Contribution

It introduces novel analytical monogamy inequalities for multiqubit W-class states based on negativity and Rényi-$ extalpha$ entanglement, expanding understanding of quantum entanglement distribution.

## Key findings

- Derived monogamy inequalities for negativity and Rényi-$ extalpha$ entanglement.
- Established bounds for Rényi-$ extalpha$ entanglement in specific parameter regions.
- Provided analytical tools for studying entanglement sharing in multiqubit systems.

## Abstract

For multipartite entangled states, entanglement monogamy is an important property. We investigate the monogamy relations for multiqubit generalized W-class states. We present new analytical monogamy inequalities satisfied by the $x$-th power of the dual of convex-roof extended negativity, namely CRENOA, for $x\geq2$ and $x\leq0$. As for The squared R\'enyi-$\alpha$ entanglement (SR$\alpha$E) with $\alpha$ in the region $[(\sqrt 7 - 1)/2,(\sqrt {13} - 1)/2]$, we show the upper bound of SR$\alpha$E.