Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
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.
