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arXiv · 2404.01960

$(n,m,p)$-type quantum network configuration and its nonlocality

Zan-Jia Li·Ying-Qiu He·Dong Ding·Ming-Xing Yu·Ting Gao·Feng-Li Yan
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Abstract

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.

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Zan-Jia Li, Ying-Qiu He, Dong Ding, Ming-Xing Yu, Ting Gao, Feng-Li Yan. 2024-04-02. $(n,m,p)$-type quantum network configuration and its nonlocality. https://doi.org/10.1007/s11128-024-04541-4

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