Yan-Kui Bai, Na Zhang, Ming-Yong Ye, Z. D. Wang
We explore the correlation distribution in multipartite quantum states based on the square of quantum discord (SQD). In tripartite quantum systems, the necessary and sufficient condition for the SQD to satisfy the monogamy relation is given. Particularly, our analysis shows that the SQD can be monogamous for all three-qubit pure states, and we define a genuine tripartite quantum correlation measure which can be generalized to mixed states. Furthermore, we study the quantum correlation distributions in four-qubit pure states. Although these distributions are not always monogamous, they can be used to constitute correlation indicators. As a typical application, we use these indicators in the dynamical evolution of multipartite cavity-reservoir systems, which give an effective characterization of multipartite quantum correlations in the composite system.
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http://arxiv.org/abs/1206.2096
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