# Monogamy properties of qubit systems

## TL;DR

This paper explores new monogamy inequalities for quantum entanglement measures in multi-qubit systems, expanding the understanding of entanglement distribution constraints.

## Contribution

It introduces generalized monogamy relations for various entanglement measures with different parameter ranges, complementing and extending existing inequalities.

## Key findings

- Derived monogamy inequalities for concurrence, negativity, and entanglement of formation.
- Established new bounds that include previous relations as special cases.
- Enhanced understanding of entanglement sharing constraints in multi-qubit systems.

## Abstract

We investigate monogamy relations related to quantum entanglement for $n-$qubit quantum systems. General monogamy inequalities are presented to the $\beta$th $(\beta\in(0,2))$ power of concurrence, negativity and the convex-roof extended negativity, as well as the $\beta$th $(\beta\in(0,\sqrt{2}))$ power of entanglement of formation. These monogamy relations are complementary to the existing ones with different regions of parameter $\beta$. In additions, new monogamy relations are also derived which include the existing ones as special cases.