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Analysis

This paper explores the potential network structures of a quantum internet, a timely and relevant topic. The authors propose a novel model of quantum preferential attachment, which allows for flexible connections. The key finding is that this flexibility leads to small-world networks, but not scale-free ones, which is a significant departure from classical preferential attachment models. The paper's strength lies in its combination of numerical and analytical results, providing a robust understanding of the network behavior. The implications extend beyond quantum networks to classical scenarios with flexible connections.
Reference

The model leads to two distinct classes of complex network architectures, both of which are small-world, but neither of which is scale-free.