Multipartite entanglement in four-qubit cluster-class states

Abstract

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.

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

References in corpus (9)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Experimental entanglement of six photons in graph states
• High-speed linear optics quantum computing using active feed-forward
• Experimental Analysis of a 4-Qubit Cluster State
• Bell Inequalities for Graph States
• Entangled three-qubit states without concurrence and three-tangle
• Realization and characterization of a 2-photon 4-qubit linear cluster state
• Multipartite quantum correlation and entanglement in four-qubit pure states
• Information-Theoretic Measure of Genuine Multi-Qubit Entanglement

Cited by in corpus (3)

• Quantum information splitting using multi-partite cluster states
• Entanglement in a class of multiqubit mixed states without multipartite tangles
• Permutation-invariant monotones for multipartite entanglement characterization