https://doi.org/10.1140/epjp/s13360-025-06839-3
Regular Article
Parameterized genuine multipartite entanglement measure based on 
-concurrence
School of Computer Science and Technology, Dongguan University of Technology, 523808, Dongguan, China
Received:
15
June
2025
Accepted:
9
September
2025
Published online:
19
September
2025
Entanglement is a crucial resource for various applications in quantum information processing. We propose a parameterized genuine multipartite entanglement measure based on -concurrence termed -
, which applies to n-partite quantum systems. Our measure identifies GHZ states as being more entangled than W states, an essential distinction in the study of quantum entanglement. By employing positive partial transposition and realignment criteria, we derive analytical lower bounds for the -. Furthermore, the measure is shown to be inequivalent under entanglement ordering comparison, indicating that it captures different aspects of entanglement compared to existing measures. Through detailed examples, we demonstrate that our measure provides a more refined detection of multipartite entanglement, particularly in distinguishing between different entangled states. This makes our proposed measure a valuable tool for characterizing and quantifying entanglement in quantum systems.
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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.
