https://doi.org/10.1140/epjp/s13360-025-06324-x
Regular Article
Genuine multipartite entanglement measure based on 
-concurrence
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
Received:
18
December
2024
Accepted:
13
April
2025
Published online:
9
May
2025
Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite -concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures GC with one parameter for arbitrary multipartite states. We show that the GC is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of GC are derived for any n-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the GC can distinguish different GME states that other GME measures fail to. These results justify the potential applications of GC in characterizing genuine multipartite entanglements.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
