angerfrown3's profile
Location: Khandūd, Herat, Singapore
Member: July 14, 2022
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Last active: July 14, 2022
Description: 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 multi-qubit systems. In this paper, we propose the geometric measure of multipartite quantum discord and obtain results for a large family of multi-qubit states. Intriguingly, our results demonstrate that for the family of states, multipartite geometric discord decreases exponentially as the number of parties increases while multipartite quantum discord not, therefore, we conclude that multipartite geometric discord could not reflect multipartite quantum discord in all cases. 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.With recent developments in the rapidly growing field of quantum information science, numerous novel concepts have been introduced and used in physics, communications and computation, where quantum correlations play a key role. The research on quantum correlation measures was initially developed based on the entanglement-separability paradigm. Compared with traditional computing, quantum computing was considered to have tremendous advantages via exploiting entanglement, otherwise, it would lose its competitive superiority in the early quantum information period. Later, it has been perceived that entangled states are not the only kind of quantum states exhibiting nonclassical features. This measure, which has been designated as quantum discord, is able to capture not only quantum correlations in entangled states but also in separable states Rulli . The concept of quantum discord was initially introduced by Ollivier and Zurek Ollivier , which is attracting increasing interestSone ; Chanda ; Rana ; Luo3 ; Hunt ; Girolami ; Lang ; Luo4 ; Li2 ; Dakic2 .Recall that the quantum discord, which is defined as the minimum difference between the quantum versions of two classically equivalent expressions of mutual information under projective measurements. For a bipartite state ρ
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