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In this paper, we investigate a genuine multipartite entanglement measurebased on the geometric method. This measure arrives at the maximal value forthe absolutely maximally entangled states and has desirable properties forquantifying the genuine multipartite entanglement. We present a lower bound ofthe genuine multipartite entanglement measure. At last, we present someexamples to show that the genuine entanglement measure is with distinctentanglement ordering from other measures, and we also present the advantagesof the measure proposed here with other measures.

A Genuine Multipartite Entanglement Measure Generated by the Parametrized Entanglement Measure