https://doi.org/10.1140/epjp/s13360-023-04399-y
Regular Article
Entanglement polygon inequalities for pure states in qudit systems
College of Information Science and Technology, Beijing University of Chemical Technology, 100029, Beijing, China
Received:
25
January
2023
Accepted:
17
August
2023
Published online:
29
August
2023
Entanglement is one of the important resources in many quantum tasks. And the issue of high-dimensional entangled systems is intriguing. Here we consider the entanglement distribution of higher-dimensional multipartite systems. Specifically, we show that the n-qudit pure states satisfy the entanglement polygon inequality (EPI) in terms of geometrical entanglement measure, then we offer an entanglement indicator for three-qubit pure states based on the geometrical entanglement measure. At last, we show that the EPI is not generally valid for pure states in higher-dimensional systems in terms of negativity. Nevertheless, the above inequality is valid for higher-dimensional systems in terms of concurrence.
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© 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.
