A spin-on topological quantum computation

Certain exotic phases of matter support non-Abelian anyons -- emergent particles that can be exploited for intrinsically fault-tolerant quantum computing. Recent experiments spotlight spin-orbit-coupled magnetic insulators as an enticing potential non-Abelian anyon platform. Due to their insulating character, however, the roadmap from initial experiments to applications in this setting calls for a fresh perspective. In this talk I will partially fill in this roadmap by proposing strategies for creating, manipulating, and detecting anyons in magnetic insulators using tools borrowed from spintronics and the quantum Hall effect. I will also propose new strategies for non-Abelian-anyon generation in Rydberg atom arrays, where a similar roadmap can be deployed.