2-D Compass Codes

September 10, 2018



Our paper "2-D Compass Codes" has been uploaded to arxiv.org (arXiv:1809.01193).

The compass model, a fundamental model in condensed matter physics, provides a natural template for building subsystem quantum error-correcting codes. The surface code and the Bacon-Shor code represent two extremes of possible codes that can be defined on this model. We explore threshold behavior in this broad class of local codes by trading locality for asymmetry and gauge degrees of freedom for stabilizer syndrome information. We analyze these codes with asymmetric and spatially inhomogeneous Pauli noise in the code capacity and phenomenological models. In these idealized settings, we observe considerably higher thresholds against asymmetric noise.