Preprint 50/2019

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

Zhi-Xiang Jin and Shao-Ming Fei

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Submission date: 13. Jul. 2019
Pages: 9
published in: Physical review / A, 99 (2019) 3, art-no. 032343 
DOI number (of the published article): 10.1103/PhysRevA.99.032343
with the following different title: Superactivation of monogamy relations for nonadditive quantum correlation measures
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We investigate the general monogamy and polygamy relations satisfied by quantum correlation measures. We show that there exist two real numbers α and β such that for any quantum correlation measure Q, Qx is monogamous if x α and polygamous if 0 < x β for a given multipartite state ρ. For β < x < α, we show that the monogamy relation can be super-activated by finite m copies ρm of ρ for non-additive correlation measures. 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.

02.07.2022, 02:19