# Superactivation of monogamy relations for nonadditive quantum correlation measures

## TL;DR

This paper explores how monogamy relations for quantum correlations can be superactivated through multiple copies of a state, revealing new insights into quantum correlation measures like negativity.

## Contribution

It demonstrates the superactivation of monogamy relations for nonadditive quantum correlation measures using multiple copies of quantum states.

## Key findings

- Existence of real numbers α and β defining monogamy and polygamy regimes.
- Superactivation of monogamy relations via finite copies of states.
- Application of negativity to illustrate superactivation.

## Abstract

We investigate the general monogamy and polygamy relations satisfied by quantum correlation measures. We show that there exist two real numbers $\alpha$ and $\beta$ such that for any quantum correlation measure $Q$, $Q^x$ is monogamous if $x\geq \alpha$ and polygamous if $0\leq x\leq \beta$ for a given multipartite state $\rho$. For $\beta <x<\alpha$, we show that the monogamy relation can be superactivated by finite $m$ copies $\rho^{\otimes m}$ of $\rho$ for nonadditive correlation measures. As a detailed example, we use the negativity as the quantum correlation measure to illustrate such superactivation of monogamy properties. A tighter monogamy relation is presented at last.