A Genuine Multipartite Entanglement Measure Generated by the Parametrized Entanglement Measure

A genuine multipartite entanglement measure based on the geometric method is investigated in this paper. This measure has desirable properties for quantifying the genuine multipartite entanglement. A lower bound of the genuine multipartite entanglement measure derived with the fidelity-based method is then presented. The advantages of the measure proposed here with other measures are also presented. At last, examples are presented to show that the genuine entanglement measure has distinct entanglement ordering from other measures. Here, a genuine multipartite entanglement measure based on the geometric method is investigated. This measure is subadditive and continuous for pure states. Moreover, it is smooth, while the generalized geometric measure and genuinely multipartite concurrence are not. A lower bound of the genuine multipartite entanglement measure derived with the fidelity-based method is also presented.image