Single-Shot Decoding and Fault-tolerant Gates with Trivariate Tricycle Codes
Trivariate tricycle (TT) codes are new quantum error-correcting codes based on a length-3 chain complex. They combine high thresholds under circuit noise, partial single-shot decodability, and support transversal Clifford gates and non-Clifford CCZ gates. This offers better resource efficiency than the 3D Toric Code while providing desirable features for fault tolerance.