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Fault-tolerant error correction with the gauge color code

The constituent parts of a quantum computer are inherently vulnerable to errors. To this end, we have developed quantum error-correcting codes to protect quantum information from noise. However, discovering codes that are capable of a universal set of computational operations with the minimal cost i...

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Autores principales: Brown, Benjamin J., Nickerson, Naomi H., Browne, Dan E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4974574/
https://www.ncbi.nlm.nih.gov/pubmed/27470619
http://dx.doi.org/10.1038/ncomms12302
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author Brown, Benjamin J.
Nickerson, Naomi H.
Browne, Dan E.
author_facet Brown, Benjamin J.
Nickerson, Naomi H.
Browne, Dan E.
author_sort Brown, Benjamin J.
collection PubMed
description The constituent parts of a quantum computer are inherently vulnerable to errors. To this end, we have developed quantum error-correcting codes to protect quantum information from noise. However, discovering codes that are capable of a universal set of computational operations with the minimal cost in quantum resources remains an important and ongoing challenge. One proposal of significant recent interest is the gauge color code. Notably, this code may offer a reduced resource cost over other well-studied fault-tolerant architectures by using a new method, known as gauge fixing, for performing the non-Clifford operations that are essential for universal quantum computation. Here we examine the gauge color code when it is subject to noise. Specifically, we make use of single-shot error correction to develop a simple decoding algorithm for the gauge color code, and we numerically analyse its performance. Remarkably, we find threshold error rates comparable to those of other leading proposals. Our results thus provide the first steps of a comparative study between the gauge color code and other promising computational architectures.
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spelling pubmed-49745742016-08-18 Fault-tolerant error correction with the gauge color code Brown, Benjamin J. Nickerson, Naomi H. Browne, Dan E. Nat Commun Article The constituent parts of a quantum computer are inherently vulnerable to errors. To this end, we have developed quantum error-correcting codes to protect quantum information from noise. However, discovering codes that are capable of a universal set of computational operations with the minimal cost in quantum resources remains an important and ongoing challenge. One proposal of significant recent interest is the gauge color code. Notably, this code may offer a reduced resource cost over other well-studied fault-tolerant architectures by using a new method, known as gauge fixing, for performing the non-Clifford operations that are essential for universal quantum computation. Here we examine the gauge color code when it is subject to noise. Specifically, we make use of single-shot error correction to develop a simple decoding algorithm for the gauge color code, and we numerically analyse its performance. Remarkably, we find threshold error rates comparable to those of other leading proposals. Our results thus provide the first steps of a comparative study between the gauge color code and other promising computational architectures. Nature Publishing Group 2016-07-29 /pmc/articles/PMC4974574/ /pubmed/27470619 http://dx.doi.org/10.1038/ncomms12302 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Brown, Benjamin J.
Nickerson, Naomi H.
Browne, Dan E.
Fault-tolerant error correction with the gauge color code
title Fault-tolerant error correction with the gauge color code
title_full Fault-tolerant error correction with the gauge color code
title_fullStr Fault-tolerant error correction with the gauge color code
title_full_unstemmed Fault-tolerant error correction with the gauge color code
title_short Fault-tolerant error correction with the gauge color code
title_sort fault-tolerant error correction with the gauge color code
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4974574/
https://www.ncbi.nlm.nih.gov/pubmed/27470619
http://dx.doi.org/10.1038/ncomms12302
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