Please note the time change to accomate the time difference between New Haven and Sydney
Bosonic codes and their symmetries
Most popular bosonic codes obey either rotation symmetry or translation symmetry in phase space. In this talk I will discuss how the symmetries dictate which logical operations are fault tolerant, and some of the pros and cons of rotation symmetric vs. translation symmetric codes for scalable, fault-tolerant quantum computing. I will also introduce a new rotation symmetric code family called the Minimum Uncertainty Codes. Finally, I will show how the translation symmetry of Gottesman-Kitaev-Preskill codes allows for a particularly efficient gate implementation where all single-qubit Clifford gates are done in software and two-qubit gates are implemented with a three-wave mixing element.