MiS Preprint Repository

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 $x\ge \alpha$ and polygamous if $0<x\le \beta$ for a given multipartite state $\rho$. For $\beta <x<\alpha$, we show that the monogamy relation can be super-activated by finite $m$ copies ${\rho }^{\otimes m}$ of $\rho$ for non-additive correlation measures.<br />
As detailed example, we use the negativity as the quantum correlation measure to illustrate such super activation of monogamy properties. A tighter monogamy relation is presented at last.