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Error Correction for Non-Abelian Topological Quantum Computation

Wootton, J. R. and Burri, J. and Iblisdir, S. and Loss, D.. (2014) Error Correction for Non-Abelian Topological Quantum Computation. Physical review X, Vol. 4, H. 1 , 011051.

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Official URL: http://edoc.unibas.ch/dok/A6348193

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Abstract

The possibility of quantum computation using non-Abelian anyons has been considered for over a decade. However, the question of how to obtain and process information about what errors have occurred in order to negate their effects has not yet been considered. This is in stark contrast with quantum computation proposals for Abelian anyons, for which decoding algorithms have been tailor-made for many topological error-correcting codes and error models. Here, we address this issue by considering the properties of non-Abelian error correction, in general. We also choose a specific anyon model and error model to probe the problem in more detail. The anyon model is the charge submodel of D(S-3). This shares many properties with important models such as the Fibonacci anyons, making our method more generally applicable. The error model is a straight forward generalization of those used in the case of Abelian anyons for initial benchmarking of error correction methods. It is found that error correction is possible under a threshold value of 7% for the total probability of an error on each physical spin. This is remarkably comparable with the thresholds for Abelian models.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:APS American Physical Society
ISSN:2160-3308
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:06 Mar 2015 07:44
Deposited On:06 Mar 2015 07:44

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