Fig. 2: Reliability-based weighted cluster growth example for the surface code.
From: Localized statistics decoding for quantum low-density parity-check codes
a The syndrome of an error is indicated as red square vertices. The fault nodes are colored to visualize their error probabilities obtained from belief propagation pre-processing. b Clusters after the first two growth steps. In the guided cluster growth strategy, fault nodes are added individually to the local clusters. The order of adding the first two fault nodes to each cluster is random since both have the same probability due to the presence of degenerate errors. c After an additional growth step, the two clusters are merged and the combined cluster is valid. d Legend for the used symbols.
