https://doi.org/10.1140/epjp/s13360-025-06035-3
Regular Article
Monogamy and polygamy for multi-qudit generalized W-class states based on concurrence of assistance and Tsallis-q entanglement of assistance
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
Received:
25
October
2024
Accepted:
16
January
2025
Published online:
16
February
2025
By analyzing the reduced density matrices derived from a generalized W-class state under any partition, we present new analytical monogamy inequalities satisfied by the 
-th (
) power and 
-th (
) power of the concurrence of assistance for multi-qudit generalized W-class states, which are demonstrated to be tighter than previous studies through detailed examples. Furthermore, using the Tsallis-q entanglement of assistance, we also establish new monogamy and polygamy relations, which are shown to be valid even for multipartite higher-dimensional states that the CKW inequality is violated.
Copyright comment 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.
© 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.
