Non-Abelian topological order and anyons on a trapped-ion processor

The first unambiguous processor realization of non-Abelian topological order, using an adaptive circuit on Quantinuum’s H2 trapped-ion system.

Key Results

Prepared a 27-qubit $D_{4}$ topologically ordered state with fidelity per site above 98.4%.
Created and transported non-Abelian anyons and detected an intrinsically non-Abelian Borromean-ring braiding process.
Demonstrated control of digitally synthesized non-Abelian order while leaving fault-tolerant protection during computation as a later step.