Fig. 6: Effect of site erasures on bulk reconstruction.
a In an HTN code, erasure of two boundary sites (black crosses) bisects the remaining boundary into two disjoint parts A1 and A2, with the reconstruction wedge of A1 ∪ A2 (shaded blue) being disjoint as well, separated by a strip-like region. b For three single-site erasures, the reconstruction wedge of A1 ∪ A2 ∪ A3 leaves out a larger region in the center of the bulk. Thus even small boundary operations can have an effect on information deep in the bulk for part of the codespace.
