Noisy classical control for fault-tolerant state distillation

Construct local acceptance, rejection, and routing procedures for state distillation when the classical control implementing those decisions is itself noisy.

Background

The proposed architecture assumes noiseless classical computation. The paper considers adapting a hierarchical construction that tolerates noisy classical computation and using it to perform universal quantum computation with surface codes, transversal gates, state injection, and distillation.

State distillation requires classical decisions about whether to accept or reject states and how to route them. If the control hardware making these decisions is noisy, the paper identifies the implementation of these decisions as the central unresolved obstacle to obtaining a fully noise-robust architecture.