# Tighter constraints of multiqubit entanglement

**Authors:** Long-Mei Yang, Bin Chen, Shao-Ming Fei, Zhi-Xi Wang

arXiv: 1906.03571 · 2019-06-11

## TL;DR

This paper introduces tighter monogamy and polygamy inequalities for multiqubit entanglement using various entanglement measures, enhancing the understanding of entanglement distribution in quantum systems.

## Contribution

It presents new classes of inequalities that are tighter than previous ones, applicable to different entanglement measures in multiqubit systems.

## Key findings

- Inequalities are tighter for certain quantum states.
- Applicable to multiple entanglement measures.
- Improve understanding of entanglement distribution.

## Abstract

Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation, negativity, Tsallis-$q$ entanglement and R\'{e}nyi-$\alpha$ entanglement, respectively. We show that these inequalities are tighter than the existing ones for some classes of quantum states.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1906.03571/full.md

## Figures

5 figures with captions in the complete paper: https://tomesphere.com/paper/1906.03571/full.md

## References

44 references — full list in the complete paper: https://tomesphere.com/paper/1906.03571/full.md

---
Source: https://tomesphere.com/paper/1906.03571