2022
DOI: 10.48550/arxiv.2202.03345
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Monogamy and polygamy relations of quantum correlations for multipartite systems

Mei-Ming Zhang,
Naihuan Jing,
Hui Zhao

Abstract: We study the monogamy and polygamy inequalities of quantum correlations in arbitrary dimensional multipartite quantum systems. We first derive the monogamy inequality of the αth (0 ≤ α ≤ r 2 , r ≥ 2) power of concurrence for any 2 ⊗ 2 ⊗ 2 n−2 tripartite states and generalize it to the n-qubit quantum states. In addition to concurrence, we show that the monogamy relations are satisfied by other quantum correlation measures such as entanglement of formation. Moreover, the polygamy inequality of the βth (β ≤ 0) p… Show more

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