Fig. 8: Error correction with Gauss’s law in 2D.
a Convention for the indexing of the link variables around a fermionic site s = (xs, ys). b The adopted bi-partition of the 2D lattice into plaquettes used for the two rounds of the error correction procedure: the first round acts on bold links and sites (e.g., the region delimited by the dashed line) the second round acts on the light-colored links and sites and the 8 external links attached to them (e.g., the regions delimited by dotted lines). The blue-shaded region is the patch of the 2D lattice where one-bit flip error can occur and be corrected. c The structure of the relevant region for one round of the error correction procedure.
