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arXiv · 1903.11355

Superactivation of monogamy relations for nonadditive quantum correlation measures

Zhi-Xiang Jin·Shao-Ming Fei
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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.

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Zhi-Xiang Jin, Shao-Ming Fei. 2019-03-27. Superactivation of monogamy relations for nonadditive quantum correlation measures. https://doi.org/10.1103/physreva.99.032343

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