标题： 稳态下多路复用的多部分量子中继器速率 显示英文标题

标题： Multiplexed multipartite quantum repeater rates in the stationary regime

摘要： multipartite量子中继器在量子通信网络中起着重要作用，它能够实现量子信息在更大距离上的传输。 为了提高 multipartite纠缠分配的速率，加入了量子存储器的复用。 理解在静止状态下不同网络规模所能达到的速率限制，是理解量子网络可扩展性的基础步骤。 本文研究了在 multipartite星型图中，包含单个中心 multipartite量子中继器且使用马尔可夫链进行复用的情况下， multipartite量子中继器速率（即每轮每个存储器生成的GHZ态数量）在静止状态下的行为。 我们推导出一个依赖于网络规模的稳态速率的封闭形式表达式。 我们通过数值模拟支持我们的结果。 此外，我们证明了当存储器数量很大时，速率会饱和。 从抽象的角度来看，这种数学描述与两方之间的量子中继器链等价。 因此，我们的结果也适用于这些设置。 显示英文摘要

摘要： Multipartite quantum repeaters play an important role in quantum communication networks enabling the transmission of quantum information over larger distances. To increase the rates for multipartite entanglement distribution, multiplexing of quantum memories is included. Understanding the limitations of achievable rates in the stationary regime for different network sizes is a fundamental step to comprehend scalability of quantum networks. This work investigates the behavior of the multipartite quantum repeater rate (i.e., the number of GHZ states generated per round and per memory) in the stationary regime in multipartite star graphs with a single central multipartite quantum repeater including multiplexing using Markov chains. We derive a closed-form expression for the stationary rate depending on the network size. We support our results with numerical simulations. Further, we show that the rate saturates for large number of memories. On an abstract level, the mathematical description is equivalent to quantum repeater chains between two parties. Therefore, our results also apply to those setups.