Figure 2

Showing H₂O 2-, 3-, 4-, and 5-clustering from Quantum Community Detection on the D-Wave Quantum Annealer. For all the k-clusterings, the cluster or community of nodes with the lowest energy is shown in blue. (a) The 2-clustering produced communities of size 68 (red) and 65 (blue). (b) The 3-clustering is shown with communities of size 34 (red), 65 (blue), and 34 (yellow). The 2- and 3-clustering share the same low energy cluster of 65. (c) The 4-clustering produced communities of size 20 (red), 52 (blue), 34 (yellow), and 27 (magenta). (d) The 5-clustering resulted in communities of size 15 (red), 52 (blue), 20 (yellow), 19 (magenta), and 27 (cyan). The 4- and 5-clustering share the same low energy cluster of 52. The clustering pictures were generated using NetworkX 2.5³¹ (https://networkx.org) and Matplotlib 3.3.3³² (https://matplotlib.org).