Quantum Info: “From Abelian to Non-Abelian Topological Quantum Memories: Error Correction and Stability under Noise” by Alfred Francesc Benedito Machancoses

Title: “From Abelian to Non-Abelian Topological Quantum Memories: Error Correction and Stability under Noise”

Venue & Time: Red Room / 11:30

Speaker: Alfred Francesc Benedito Machancoses

Abstract: We first discuss the pioneering work of Dennis, Kitaev, Landahl, and Preskill (2002) [1], which developed a statistical-mechanical framework for studying error correction in Abelian surface codes, establishing the existence of an error threshold associated with a phase transition. We then turn to the recent work of Sala and Verresen (2025) [2], which extends aspects of this framework to non-Abelian topological order. This latter work reveals robustness of certain non-Abelian anyons against decoherence, governed by their quantum dimensions.

References:
[1] https://doi.org/10.1063/1.1499754
[2] https://doi.org/10.1103/fy9r-hpcw