Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure

• URL: http://arxiv.org/abs/2112.10509v3
• Date: Thu, 21 Apr 2022 03:17:32 GMT
• Title: Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure
• Authors: Yinfei Li and Jiangwei Shang
• Abstract summary: We propose the geometric mean of bipartite concurrences as a genuine multipartite entanglement measure. We show that our measure results in distinct entanglement orderings from other measures, and can detect differences in certain types of genuine multipartite entanglement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this work we propose the geometric mean of bipartite concurrences as a genuine multipartite entanglement measure. This measure achieves the maximum value for absolutely maximally entangled states and has desirable properties for quantifying potential quantum resources. The simplicity and symmetry in the definition facilitates its computation for various multipartite entangled states including the GHZ states and the $W$ states. With explicit examples we show that our measure results in distinct entanglement orderings from other measures, and can detect differences in certain types of genuine multipartite entanglement while other measures cannot. These results justify the practical application of our measure for tasks involving genuine multipartite entanglement.

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