Berlin 2014 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 16: Poster: Quantum information, micromechanical oscillators, matter wave optics, precision measurements and metrology
Q 16.11: Poster
Monday, March 17, 2014, 16:30–18:30, Spree-Palais
Thermalization, Error-Correction, and Memory Lifetime for Ising Anyon Systems — •Courtney Brell1,2, Simon Burton1, Guillaume Dauphinais3, Steven Flammia1, and David Poulin3 — 1Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, Australia — 2Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany — 3Département de Physique, Université de Sherbrooke, Sherbrooke, Québec, Canada
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 and that the thresholds of these models range between 13% to 25%. To our knowledge, these are the first numerical threshold estimates for quantum codes without explicit additive structure.