Grup de Física Teòrica, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain.
Phys Rev Lett. 2009 Dec 11;103(24):240503. doi: 10.1103/PhysRevLett.103.240503. Epub 2009 Dec 10.
Quantum networks are essential to quantum information distributed applications, and communicating over them is a key challenge. Complex networks have rich and intriguing properties, which are as yet unexplored in the quantum setting. Here, we study the effect of entanglement percolation as a means to establish long-distance entanglement between arbitrary nodes of quantum complex networks. We develop a theory to analytically study random graphs with arbitrary degree distribution and give exact results for some models. Our findings are in good agreement with numerical simulations and show that the proposed quantum strategies enhance the percolation threshold substantially. Simulations also show a clear enhancement in small-world and other real-world networks.
量子网络对于量子信息分布式应用至关重要，而在这些网络上进行通信是一个关键挑战。复杂网络具有丰富而有趣的性质，这些性质在量子环境中尚未得到探索。在这里，我们研究了纠缠渗流的影响，作为在量子复杂网络中任意节点之间建立长程纠缠的一种手段。我们开发了一种理论来分析研究具有任意度分布的随机图，并给出了一些模型的精确结果。我们的发现与数值模拟吻合得很好，表明所提出的量子策略大大提高了渗流阈值。模拟还显示在小世界和其他真实网络中存在明显的增强。
