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MiS Preprint

Super-activation of monogamy relations for non-additive quantum correlation measures

Zhi-Xiang Jin and Shao-Ming Fei


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.

Jul 13, 2019
Jul 18, 2019

Related publications

2019 Repository Open Access
Zhi-Xiang Jin and Shao-Ming Fei

Superactivation of monogamy relations for nonadditive quantum correlation measures

In: Physical review / A, 99 (2019) 3, p. 032343