Si-Yuan Liu, Bo Li, Wen-Li Yang, Heng Fan
We introduce the concept of monogamy deficit for quantum correlation for both tripartite and multipartite quantum system. For tripartite pure state, we demonstrate a linear transformation which connects two types of monogamy inequality for quantum discord. Using this relation, we get an unified physical interpretation for these two monogamy deficit. In addition, we find an interesting fact that there is a general monogamy condition for several quantum correlations for tripartite pure states. We then provide a necessary and sufficient condition for the establishment of one kind of monogamy inequality for tripartite mixed state and generalize it to multipartite quantum state.
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http://arxiv.org/abs/1301.7600
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