Monogamy relations of all quantum correlation measures for multipartite quantum systems

Zhi-Xiang Jin and Shao-Ming Fei

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Submission date: 30. Jul. 2019
Pages: 15
published in: Optics communications, 446 (2019), p. 39-43 
DOI number (of the published article): 10.1016/j.optcom.2019.04.062
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Abstract:
The monogamy relations of quantum correlation restrict the sharability of quantum correlations in multipartite quantum states. We show that all measures of quantum correlations satisfy some kind of monogamy relations for arbitrary multipartite quantum states. Moreover, by introducing residual quantum correlations, we present tighter monogamy inequalities that are better than all the existing ones. In particular, for multi-qubit pure states, we also establish new monogamous relations based on the concurrence and concurrence of assistance under the partition of the first two qubits and the remaining ones.