Progress on fault-tolerant quantum computing with concatenated bosonic-qubit codes

In this talk I will discuss ongoing work to quantify the performance of bosonic error correcting codes concatenated with conventional qubit codes. There are two questions we are trying to answer: 1. When does using a bosonic code at the ground level of a concatenated scheme outperform using two-level systems? 2. How do different bosonic codes compare to each other. We would like to answer both of these questions in a fault-tolerant setting that includes state preparation and measurement noise, as well as noise during the error correction circuit.