Surface code dislocations have code distance L+O(1)

25 Nov 2019  ·  Gidney Craig ·

In [Hastings et al 2014] it is stated that the code distance of a logical qubit stored using dislocations is 2L + O(1), where L is the separation between the dislocation twists. This code distance assumed only physical X and Z errors are permitted... This short note shows that, when Y errors are allowed, the code distance reduces to L + O(1). See Figure 1. read more

PDF Abstract