IQIM Postdoctoral and Graduate Student Seminar

Abstract: Topological order (TO) is characterized by the emergence of anyonic quasiparticles, with potential applications for quantum computation and storing quantum information. An open question of conceptual and practical importance is the effect of decoherence on TO. Thus far, the resulting mixed states have mostly been studied for the simplest TO, such as the toric code with its celebrated error threshold. In this talk, we will generalize to the broader landscape of non-Abelian TO. Remarkably, despite being richer, we find that decohering with non-Abelian anyons leads to enhanced stability, compared to the Abelian counterpart. Our general framework is based on effective stat-mech loop models involving the quantum dimension of the anyons. Specific examples include decoherence of the Kitaev honeycomb model, quantum doubles as well as D4 TO which has recently been experimentally realized in quantum processors and that will be the central focus on this talk. Based on works with Jason Alicea and Ruben Verresen [arXiv:2409.12948 and arXiv:2409.12230].

Lunch will be provided following the talk.