We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
50/2019
Super-activation of monogamy relations for non-additive quantum correlation measures
Zhi-Xiang Jin and Shao-Ming Fei
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 $0<x\leq \beta$ 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.
