首页|Verifying hierarchical network nonlocality in general quantum networks

Verifying hierarchical network nonlocality in general quantum networks

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Recently,a class of innovative notions on quantum network nonlocality(QNN),called full quantum network nonlocal-ity(FQNN),have been proposed in Phys.Rev.Lett.128 010403(2022).As the generalization of full network nonlocality(FNN),l-level quantum network nonlocality(l-QNN)was defined in arxiv.2306.15717 quant-ph(2024).FQNN is a NN that can be generated only from a network with all sources being non-classical.This is beyond the existing standard net-work nonlocality,which may be generated from a network with only a non-classical source.One of the challenging tasks is to establish corresponding Bell-like inequalities to demonstrate the FQNN or l-QNN.Up to now,the inequality criteria for FQNN and l-QNN have only been established for star and chain networks.In this paper,we devote ourselves to es-tablishing Bell-like inequalities for networks with more complex structures.Note that star and chain networks are special kinds of tree-shaped networks.We first establish the Bell-like inequalities for verifying l-QNN in k-forked tree-shaped networks.Such results generalize the existing inequalities for star and chain networks.Furthermore,we find the Bell-like inequality criteria for l-QNN for general acyclic and cyclic networks.Finally,we discuss the demonstration of l-QNN in the well-known butterfly networks.

full network nonlocalityhierarchical network nonlocalitytree network

杨舒媛、侯晋川、贺衎

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College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaKey Research and Development Program of Shanxi Province

1227139412071336202102010101004

2024

10.1088/1674-1056/ad3dd5

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(7)
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