Multipartite entanglement in four-qubit cluster-class states

Physics – Quantum Physics

Scientific paper

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7 pages, 3 figs, version 3, some refs. are added

Scientific paper

10.1103/PhysRevA.77.032313

Based on quantitative complementarity relations (QCRs), we analyze the multipartite correlations in four-qubit cluster-class states. It is proven analytically that the average multipartite correlation $E_{ms}$ is entanglement monotone. Moreover, it is also shown that the mixed three-tangle is a correlation measure compatible with the QCRs in this kind of quantum states. More arrestingly, with the aid of the QCRs, a set of hierarchy entanglement measures is obtained rigorously in the present system.

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