Si-Yuan Liu, Yu-Ran Zhang, Li-Ming Zhao, Wen-Li Yang, Heng Fan
We provide a family of general monogamy inequalities for global quantum discord (GQD), which can be seen as an extension of the usual monogamy inequality. It can be shown that they are satisfied under the similar condition for the holding of usual monogamy relation. We find there is an intrinsic connection between them. Furthermore, we define another type of monogamy inequality and prove it holds under the condition that the bipartite GQDs do not increase under discard of subsystems. Finally, we investigate the residual GQD in accordance with the second monogamy inequality.
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http://arxiv.org/abs/1307.4848
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