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Quantum communication capacity transition of complex quantum networks
arXiv - CS - Networking and Internet Architecture Pub Date : 2020-11-14 , DOI: arxiv-2011.07397
Quntao Zhuang and Bingzhi Zhang

Quantum network is the key to enable distributed quantum information processing. As the single-link communication rate decays exponentially with the distance, to enable reliable end-to-end quantum communication, the number of nodes need to grow with the network scale. For highly connected networks, we identify a threshold transition in the capacity as the density of network nodes increases---below a critical density, the rate is almost zero, while above the threshold the rate increases linearly with the density. Surprisingly, above the threshold the typical communication capacity between two nodes is independent of the distance between them, due to multi-path routing enabled by the quantum network. In contrast, for less connected networks such as scale-free networks, the end-to-end capacity saturates to constants as the number of nodes increase, and always decays with the distance; Our results are based on capacity evaluations, therefore is universal for general architectures and protocols of quantum networks.

中文翻译:

复杂量子网络的量子通信容量转换

量子网络是实现分布式量子信息处理的关键。由于单链路通信速率随距离呈指数衰减,为了实现可靠的端到端量子通信,节点数量需要随着网络规模的增长而增长。对于高度连接的网络,随着网络节点密度的增加,我们确定了容量的阈值转换——低于临界密度,速率几乎为零,而高于阈值,速率随密度线性增加。令人惊讶的是,由于量子网络启用了多路径路由,因此在阈值之上,两个节点之间的典型通信容量与它们之间的距离无关。相比之下,对于连接较少的网络,如无标度网络,端到端容量随着节点数量的增加而饱和,并且总是随着距离而衰减;我们的结果基于容量评估,因此对于量子网络的通用架构和协议是通用的。
更新日期:2020-11-17
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