IQC Math and CS seminar featuring Andreas Bauer

Non-abelian topological fault-tolerant quantum computing from path integrals

Andreas Bauer | Massachusetts Institute of Technology

I will explain a method for constructing fault-tolerant syndrome-extraction circuits from topological fixed-point path integrals in spacetime. The method can be used to unify various syndrome-extraction circuits like the stabilizer toric code, honeycomb Floquet code, or measurement-based topological quantum computation, which correspond to the same toric-code path integral on different spacetime lattices.

The approach can also be applied to other Abelian topological phases and non-Abelian phases, where the latter requires more sophisticated decoding strategies. By interfacing Abelian with non-Abelian topological phases we can obtain logical non-Clifford gates and achieve scalable universal quantum computation without magic state distillation. Some of the microscopic circuits are remarkable simple and can be implemented on a 2D chip with planar connectivity. This is based on 2303.16405, 2408.07265, 2403.12119, 2503.15751, 2505.05175.

Location

• QNC 1201

• Online on Zoom

  • Meeting ID: 965 8422 1976

  • Passcode: 827953