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Quantum link prediction in complex networks

2023; American Physical Society; Volume: 107; Issue: 3 Linguagem: Inglês

10.1103/physreva.107.032605

2469-9942

João P. Moutinho, André Melo, Bruno Coutinho, I. Kovács, Yasser Omar,

Complex Network Analysis Techniques

Predicting new links in physical, biological, social, or technological networks has a significant scientific and societal impact. Path-based link prediction methods utilize the explicit counting of even- and odd-length paths between nodes to quantify a score function and infer new or unobserved links. Here, we propose a quantum algorithm for path-based link prediction using a controlled continuous-time quantum walk to encode even and odd path-based prediction scores. Through classical simulations on a few real networks, we confirm that the quantum walk scoring function performs similarly to other path-based link predictors. In a brief complexity analysis we identify the potential of our approach in uncovering a quantum speedup for path-based link prediction.