# IQIM Postdoctoral and Graduate Student Seminar

*,*Sherman Fairchild Postdoctoral Scholar

*,*

**Join us in 201 E. Bridge for the talk presented over zoom. We'll be hosting lunch following the talk on the lawn north of the Bridge Arcade**

**Abstract:** Non-Abelian topological order (TO) is a coveted state of matter that despite extensive efforts has remained elusive. I will present the first unambiguous realization of non-Abelian TO and demonstrate control of its anyons. Using an adaptive circuit, 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 and obtain fidelity per site exceeding 98.4%. Moreover we are able to experimentally confirm the various features that are unique to non-Abelian phases of matter including: 1) a non-square ground state degeneracy of 22, 2) an excited state with a single anyon on a torus, and 3) a non-trivial phase factor upon tracing three non-Abelian anyons in the shape of Borromean rings in spacetime.

https://arxiv.org/abs/2305.03766

**June 9 IQIM seminar will be presented by zoom:**

https://caltech.zoom.us/j/88407627311?pwd=RGx4MlpSUnBLbDJvdE4rS1FHbWZvUT09

Meeting ID: 884 0762 7311

Passcode: 932356

**Lunch** will be provided, following the talk, on the lawn north of the Bridge Arcade