# Tighter monogamy relations of multiqubit entanglement in terms of R\'{e}nyi-$\alpha$ entanglement

## TL;DR

This paper introduces tighter monogamy relations for multiqubit entanglement using Rényi-$ ext{alpha}$ entanglement, providing improved bounds over previous relations for certain parameter ranges.

## Contribution

The authors develop a new class of tighter monogamy relations based on Rényi-$ ext{alpha}$ entanglement, extending and strengthening existing bounds for multiqubit systems.

## Key findings

- Tighter monogamy relations are established for $ ext{alpha} ext{ } ext{in} ext{ }[rac{ ext{sqrt{7}}-1}{2}, 2)$ with $ ext{eta}>2$.
- The new bounds are larger than existing monogamy bounds for specific parameter ranges.
- The relations improve understanding of entanglement distribution constraints in multiqubit systems.

## Abstract

We present a class of tight monogamy relations in terms of R\'{e}nyi-$\alpha$ entanglement, which are tighter than the monogamy relations of multiqubit entanglement just based on the power of the R\'{e}nyi-$\alpha$ entanglement for $\alpha\geq 2$ and the power $\eta>1$. For $2>\alpha\geq\frac{\sqrt{7}-1}{2}$ and the power $\eta>2$, we establish a class of tight monogamy relations of multiqubit entanglement with larger lower bounds than the existing monogamy relations of multiqubit entanglement.