Year: 2014
Type: article
Abstract: We consider two-dimensional lattice models that support Ising anyonic excitations and are coupled to a thermal bath.We propose a phenomenological model for the resulting short-time dynamics that includes pair creation, hopping, braiding, and fusion of anyons.By explicitly constructing topological quantum error-correcting codes for this class of system, we use our thermalization model to estimate the lifetime of the quantum information stored in the encoded spaces.To decode and correct errors in these codes, we adapt several existing topological decoders to the non-Abelian setting.We perform large-scale numerical simulations of these two-dimensional Ising anyon systems and find that the thresholds of these models range from 13% to 25%.To our knowledge, these are the first numerical threshold estimates for quantum codes without explicit additive structure.
Source: Physical Review X
Authors: Courtney G. Brell, Simon Burton, Guillaume Dauphinais, Steven T. Flammia, David Poulin
Institutions: The University of Sydney, Université de Sherbrooke
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $4,200
Award: G3348498264
OpenAlex ID: W2074237359