Zong-Wen Wei, Bing-Hong Wang, Xiao-Pu Han
Quantum networks are critical to quantum communication and distributed quantum computing. Here we propose a small-world model of scalable quantum repeater network (QRN), where small-world is a key concept rooted in complex networks. We demonstrate that QRN with scale-free-fractal structure can be successively enlarged into large-scale ones, with topological structure and hierarchy of measurements consistently preserved by performing renormalization transformation. In fact, renormalization here serves as an organizing principle that shapes the topology and governs distribution of long-range entangled links over QRN. Furthermore, we prove that iterative renormalization is capable of triggering fractal to small-world transition, and eventually a hierarchical quantum small-world network is achieved. We expect it could shed light on the design of QRN.
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http://arxiv.org/abs/1111.0407
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