https://doi.org/10.1140/epjp/s13360-023-04356-9
Regular Article
Generalized n-locality correlations in tree tensor network configuration
1
School of Mathematical Science, Shanxi University, 030006, Taiyuan, People’s Republic of China
2
School of Mathematics and Information Technology, Yuncheng University, 044000, Yuncheng, People’s Republic of China
3
Key Laboratory of Complex Systems and Data Science of Ministry of Education, Shanxi University, 030006, Taiyuan, People’s Republic of China
4
College of Mathematics, Taiyuan University of Technology, 030024, Taiyuan, People’s Republic of China
Received:
27
April
2023
Accepted:
4
August
2023
Published online:
31
August
2023
Quantum correlations in various quantum networks are fundamental for quantum communications, among which Bell nonlocality in networks have already been intensively studied. In this paper, Bell nonlocality for the tree tensor network are discussed by considering two general cases: One case is that each party of the network performs arbitrary number of binary measurements, while the other case is that four extreme parties perform arbitrary m
binary measurements and all intermediate parties perform 
binary measurements. For both cases, different n-locality inequalities are established and the corresponding quantum violations are also examined.
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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.
