Abstract
Radhakrishnan et al. (Phys. Rev. Lett. 124:110401, 2020) proposed quantum discord to multipartite systems and derived explicit formulae for any states. These results are significant in capturing quantum correlations for multiqubit systems. In this paper, we evaluate the geometric measure of multipartite quantum discord and obtain the results for a large family of multiqubit states. Furthermore, we investigated the dynamic behavior of geometric discord for the family of two-, three- and four-qubit states under phase noise acting on the first qubit. And we discover that sudden change of multipartite geometric discord can appear when phase noise act only on one part of the two-, three- and four-qubit states.
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