A quantum network shared entangled sources among distant nodes enables us to distribute entanglement along the network by suitable measurements. Network nonlocality means that it does not admit a network model involving local variables emitted from independent sources. In this work, we construct an (n,m,p)-type quantum network configuration and then derive the corresponding n-local correlation inequalities based on the assumption of independent sources. As a universal acyclic network configuration, it can cover most of the existing network models, such as the typical chain-network and star-network, and admit both centerless and asymmetric configurations. Then we demonstrate the non-n-locality of the present network by calculating the violation of the n-local inequality with bipartite entangled sources and Pauli measurements.
@article{arxiv.2404.01960,
title = {$(n,m,p)$-type quantum network configuration and its nonlocality},
author = {Zan-Jia Li and Ying-Qiu He and Dong Ding and Ming-Xing Yu and Ting Gao and Feng-Li Yan},
journal= {arXiv preprint arXiv:2404.01960},
year = {2025}
}