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Quantum algorithms for community detection and their empirical run-times

Quantum algorithms for community detection and their empirical run-times

We apply recent work~\cite{ourotherpaper} on empirical estimates of quantum speedups to the practical task of community detection in complex networks. We design several quantum variants of a popular classical algorithm -- the \textit{Louvain algorithm} for community detection -- and first study their complexities in the usual way, before analysing their …