Figure 6
From: Reduction of the molecular hamiltonian matrix using quantum community detection
Gauge metric description. (a) Network representation of a cluster. (b) Scheme of how the energy of node 0 (diagonal element \(\epsilon _0\)) gets re-normalized (corrected) to \({\tilde{\epsilon }}\) due to the interaction with the other nodes (SDs) via the coupling elements or weights \(V_{0i}\). (c) Gauge and energy differences are shown for H2O, BH3, and N2. The lowest gauge metric differences and corresponding energy differences denote the most accurate cluster. Pair-wise differences in the gauge metrics and the corresponding energy differences have a linear relationship as shown. The most accurate cluster across all k-clusterings is noted.
