Tantivasadakarn, Nathanan - Caltech

Creation of Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor

Non-Abelian topological order (TO) is a coveted state of matter that despite extensive efforts has remained elusive. We present the first unambiguous realization of non-Abelian TO and demonstrate control of its anyons. We create the ground state wavefunction of D₄ TO on a kagome lattice of 27 qubits using an adaptive circuit on Quantinuum’s H2 trapped-ion quantum processor.