A Genuine Multipartite Entanglement Measure Generated by the Parametrized Entanglement Measure

TL;DR

This paper introduces a new geometric-based measure for genuine multipartite entanglement, demonstrating its properties, bounds, and advantages over existing measures through examples.

Contribution

It proposes a novel genuine multipartite entanglement measure derived from a parametrized measure, with proven properties and comparative advantages.

Findings

Maximal value for absolutely maximally entangled states

Provides a lower bound for the entanglement measure

Shows distinct entanglement ordering compared to other measures

Abstract

In this paper, we investigate a genuine multipartite entanglement measure based on the geometric method. This measure arrives at the maximal value for the absolutely maximally entangled states and has desirable properties for quantifying the genuine multipartite entanglement. We present a lower bound of the genuine multipartite entanglement measure. At last, we present some examples to show that the genuine entanglement measure is with distinct entanglement ordering from other measures, and we also present the advantages of the measure proposed here with other measures.