Abstract
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.
基金项目
National Natural Science Foundation of China(12271394)
National Natural Science Foundation of China(12071336)
Key Research and Development Program of Shanxi Province(202102010101004)
NETL
NSTL
万方数据