Title: Network configuration theory for all networks Show Chinese title

Title: 所有网络的网络配置理论

Abstract: Entangled quantum networks provide great flexibilities and scalabilities for quantum information processing or quantum Internet. Most of results are related to verify the nonlocalities of quantum networks. Our goal in this work is to provide computationally efficient characterizations of theory-independent network configurations of any networks. We present the first configuration inequality for all networks using the fractional independent set of associated graph. This allows featuring correlations of any classical network depending only on its network topology. Similar result holds for all entangled quantum networks. It implies a remarkable application for verifying almost all multipartite entangled pure states with linear complexity. This also provides a general method for witnessing quantum network topology without assumption of inputs. It is further extended for any no-signalling networks. These results may be interesting in entanglement theory, quantum information processing, and quantum networks. Show Chinese abstract

Abstract: 纠缠量子网络为量子信息处理或量子互联网提供了巨大的灵活性和可扩展性。 大多数结果与验证量子网络的非定域性有关。 我们在这项工作中的目标是提供计算上高效的理论无关网络配置表征。 我们使用相关图的分数独立集，提出了所有网络的第一个配置不等式。 这使得可以根据网络拓扑特征任何经典网络的相关性。 对于所有纠缠量子网络，类似的结果也成立。 这意味着在以线性复杂度验证几乎所有多体纠缠纯态方面有显著的应用。 这也提供了一种无需输入假设的见证量子网络拓扑的一般方法。 这些结果进一步扩展到任何无信令网络。 这些结果可能在纠缠理论、量子信息处理和量子网络中具有吸引力。