Brito Samuraí, Canabarro Askery, Chaves Rafael, Cavalcanti Daniel
International Institute of Physics, Federal University of Rio Grande do Norte, 59070-405 Natal, Brazil.
Grupo de Física da Matéria Condensada, Núcleo de Ciências Exatas-NCEx, Campus Arapiraca, Universidade Federal de Alagoas, 57309-005 Arapiraca-AL, Brazil.
Phys Rev Lett. 2020 May 29;124(21):210501. doi: 10.1103/PhysRevLett.124.210501.
Steady technological advances are paving the way for the implementation of the quantum internet, a network of locations interconnected by quantum channels. Here we propose a model to simulate a quantum internet based on optical fibers and employ network-theory techniques to characterize the statistical properties of the photonic networks it generates. Our model predicts a continuous phase transition between a disconnected and a highly connected phase and that the typical photonic networks do not present the small world property. We compute the critical exponents characterizing the phase transition, provide quantitative estimates for the minimum density of nodes needed to have a fully connected network and for the average distance between nodes. Our results thus provide quantitative benchmarks for the development of a quantum internet.
持续的技术进步正在为量子互联网的实现铺平道路，量子互联网是一个通过量子信道相互连接的地点网络。在这里，我们提出了一个基于光纤模拟量子互联网的模型，并采用网络理论技术来表征它所生成的光子网络的统计特性。我们的模型预测了在不连通相和高度连通相之间的连续相变，并且典型的光子网络不具有小世界特性。我们计算了表征相变的临界指数，给出了拥有完全连通网络所需节点的最小密度以及节点之间平均距离的定量估计。因此，我们的结果为量子互联网的发展提供了定量基准。
