Non-Abelian braiding of Fibonacci anyons with a superconducting processor

A 27-transmon digital realization of Fibonacci string-net order and non-Abelian braiding on a superconducting processor.

Key Results

Prepared a Fibonacci string-net state with average vertex and plaquette expectations of 0.94 and 0.58.
Created, braided, and fused Fibonacci anyons and measured $ϕ_{exp} = 1.60$ , close to the ideal quantum dimension $1.618$ .
Explicitly distinguished circuit-compiled braiding from an intrinsically gap-protected adiabatic braid.