The rate and security of quantum communications between users placed at arbitrary points of a quantum communication network depend on the structure of the network, on its extension and on the nature of the communication channels. In this work we propose a strategy for the optimization of trusted-relays based networks that intertwines classical network approaches and quantum information theory. Specifically, by suitably defining a quantum communication efficiency functional, we identify the optimal quantum communication connections through the network by balancing security and the quantum communication rate. The optimized network is then constructed as the network of the maximal quantum communication efficiency connections and its performance is evaluated by studying the scaling of average properties as functions of the number of nodes and of the network spatial extension.

位于量子通信网络任意点的用户之间的量子通信的速率和安全性取决于网络的结构、其扩展以及通信信道的性质。在这项工作中，我们提出了一种优化基于可信中继的网络的策略，该策略将经典网络方法和量子信息理论交织在一起。具体来说，通过适当定义量子通信效率函数，我们通过平衡安全性和量子通信速率来确定通过网络的最佳量子通信连接。然后将优化的网络构建为最大量子通信效率连接的网络，并通过研究作为节点数量和网络空间扩展函数的平均属性的缩放来评估其性能。