Protocols for Creating Anyons and Defects via Gauging

Understand

Creating and manipulating anyons and symmetry defects in topological phases, especially those with a non-Abelian character, constitutes a primitive for topological quantum computation.

• We provide a physical protocol for implementing the ribbon operators of non-Abelian anyons and symmetry defects.
• We utilize dualities, in particular the Kramers-Wannier or gauging map, which have previously been used to construct topologically ordered ground states by relating them to simpler states.
• In this work, ribbon operators are implemented by applying a gauging procedure to a lower-dimensional region of such states.