Fault-Tolerant Gates for Continuous-Variable Quantum Codes

Many quantum error-correcting codes exist for continuous-variable systems with abelian group symmetries. Analogous codes for continuous-variable systems with nonabelian group symmetries, and the question of how to use them to perform fault-tolerant quantum computation, are less well-studied. I'll describe some approaches to formulating fault-tolerant logical operations on continuous-variable codes with general configuration spaces.