https://doi.org/10.1140/epjp/s13360-023-04700-z
Regular Article
A 
-partite entanglement measure of N-partite quantum states
1
School of Mathematics and Science, Hebei GEO University, 050031, Shijiazhuang, China
2
School of Mathematics and Statistics, Shangqiu Normal University, 476000, Shangqiu, China
3
School of Mathematical Sciences, Hebei Normal University, 050024, Shijiazhuang, China
4
College of Physics, Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, 050024, Shijiazhuang, China
c
gaoting@hebtu.edu.cn
d
flyan@hebtu.edu.cn
Received:
29
November
2022
Accepted:
15
November
2023
Published online:
6
December
2023
The concept of “the permutationally invariant part of a density matrix” constitutes an important tool for entanglement characterization of multiqubit systems. In this paper, we first present -partite entanglement measure of N-partite quantum system, which possesses desirable properties of an entanglement measure. Moreover, we give strong bounds on this measure by considering the permutationally invariant part of a multipartite state. We give two definitions of efficient measurable degree of -partite entanglement. Finally, several concrete examples are given to illustrate the effectiveness of our results.
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 2023. 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.
