Distributing entanglement between distant nodes is an essential task in quantum networks. To achieve this task, quantum repeaters have been introduced to perform entanglement swapping. This paper offers a design of remote entanglement distribution (RED) protocols that maximize the entanglement distribution rate (EDR). We introduce the concept of enodes, representing the entangled quantum bit (qubit) pairs in the network. This concept enables us to design the optimal RED protocols based on the solutions of some linear programming problems. Moreover, we investigate RED in a homogeneous repeater chain, which is a building block for many quantum networks. In particular, we determine the maximum EDR for homogeneous repeater chains in a closed form. Our results enable the distribution of long-distance entanglement with noisy intermediate-scale quantum (NISQ) technologies and provide insights into the design and implementation of general quantum networks.

中文翻译：

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最佳远程纠缠分布

在远程节点之间分配纠缠是量子网络中的一项基本任务。为了完成这项任务，引入了量子中继器来执行纠缠交换。本文提供了一种远程纠缠分布 (RED) 协议的设计，可最大限度地提高纠缠分布率 (EDR)。我们引入了enodes的概念，代表网络中纠缠的量子位（qubit）对。这个概念使我们能够基于一些线性规划问题的解决方案来设计最优的 RED 协议。此外，我们在同构中继器链中研究了 RED，这是许多量子网络的构建块。特别是，我们确定了封闭形式的同类中继器链的最大 EDR。