Logical magic state preparation with the aid of non-Abelian topological order

To achieve fault-tolerant quantum computation, we need to construct a universal set of gates on the logical information protected by quantum error correction. A commonly used and yet resource-demanding approach to non-Clifford gates in the surface code is through magic state injection and distillation. However, recent experimental progress in quantum information processing on local units with more than two levels, known as qudits, has opened up new possibilities. In this talk, we will explore a strategy of preparing a logical magic state enabled by qudits, bypassing the need for distillation. Starting from a logical state in the qudit surface code achievable via generalized Clifford gates, we show how to obtain a logical magic state through a gauging operation and anyon condensations. This approach makes use of non-Abelian topological order, and falls under the general framework of code switching.