Error correction for reliable quantum computing

Quantum computers herald the arrival of a new era in which previously intractable computational problems will be solved efficiently. However, quantum technology is held down by decoherence, a phenomenon that is omnipresent in the quantum paradigm and that renders quantum information useless when lef...

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Autor: Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
Tipo de recurso: tesis doctoral
Fecha de publicación:2022
País:España
Institución:Universidad de Navarra
Repositorio:Dadun. Depósito Académico Digital de la Universidad de Navarra
Idioma:inglés
OAI Identifier:oai:dadun.unav.edu:10171/63067
Acceso en línea:https://hdl.handle.net/10171/63067
Access Level:acceso abierto
Palabra clave:Quantum computing
Quantum error correction
Sparse quantum codes
QLDPC Codes
Degeneracy
Computación cuántica
Códigos cuánticos sparse
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spelling Error correction for reliable quantum computingFuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4Quantum computingQuantum error correctionSparse quantum codesQLDPC CodesDegeneracyComputación cuánticaCódigos cuánticos sparseQuantum computers herald the arrival of a new era in which previously intractable computational problems will be solved efficiently. However, quantum technology is held down by decoherence, a phenomenon that is omnipresent in the quantum paradigm and that renders quantum information useless when left unchecked. The science of quantum error correction, a discipline that seeks to combine and protect quantum information from the effects of decoherence using structures known as codes, has arisen to meet this challenge. Stabilizer codes, a particular subclass of quantum codes, have enabled fast progress in the field of quantum error correction by allowing parallels to be drawn with the widely studied field of classical error correction. This has resulted in the construction of the quantum counterparts of well-known capacity-approaching classical codes like sparse codes and quantum turbo codes. However, quantum codes obtained in this manner do not entirely evoke the stupendous error correcting abilities of their classical counterparts. This occurs because classical strategies ignore important differences between the quantum and classical paradigms, an issue that needs to be addressed if quantum error correction is to succeed in its battle with decoherence. In this dissertation we study a phenomenon exclusive to the quantum paradigm, known as degeneracy, and its effects on the performance of sparse quantum codes. Furthermore, we also analyze and present methods to improve the performance of a specific family of sparse quantum codes in various different scenarios.Servicio de Publicaciones. Universidad de NavarraCrespo-Bofill, P. (Pedro)Dadun. Depósito Académico Digital Universidad de Navarra20222022-03-0820222022-02-0120222022-02-0120222022-02-14doctoral thesishttp://purl.org/coar/resource_type/c_db06info:eu-repo/semantics/doctoralThesisapplication/pdfhttps://hdl.handle.net/10171/63067reponame:Dadun. Depósito Académico Digital de la Universidad de Navarrainstname:Universidad de NavarraInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:dadun.unav.edu:10171/630672026-06-21T12:47:57Z
dc.title.none.fl_str_mv Error correction for reliable quantum computing
title Error correction for reliable quantum computing
spellingShingle Error correction for reliable quantum computing
Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
Quantum computing
Quantum error correction
Sparse quantum codes
QLDPC Codes
Degeneracy
Computación cuántica
Códigos cuánticos sparse
title_short Error correction for reliable quantum computing
title_full Error correction for reliable quantum computing
title_fullStr Error correction for reliable quantum computing
title_full_unstemmed Error correction for reliable quantum computing
title_sort Error correction for reliable quantum computing
dc.creator.none.fl_str_mv Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
author Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
author_facet Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
author_role author
dc.contributor.none.fl_str_mv Crespo-Bofill, P. (Pedro)
Dadun. Depósito Académico Digital Universidad de Navarra
dc.subject.none.fl_str_mv Quantum computing
Quantum error correction
Sparse quantum codes
QLDPC Codes
Degeneracy
Computación cuántica
Códigos cuánticos sparse
topic Quantum computing
Quantum error correction
Sparse quantum codes
QLDPC Codes
Degeneracy
Computación cuántica
Códigos cuánticos sparse
description Quantum computers herald the arrival of a new era in which previously intractable computational problems will be solved efficiently. However, quantum technology is held down by decoherence, a phenomenon that is omnipresent in the quantum paradigm and that renders quantum information useless when left unchecked. The science of quantum error correction, a discipline that seeks to combine and protect quantum information from the effects of decoherence using structures known as codes, has arisen to meet this challenge. Stabilizer codes, a particular subclass of quantum codes, have enabled fast progress in the field of quantum error correction by allowing parallels to be drawn with the widely studied field of classical error correction. This has resulted in the construction of the quantum counterparts of well-known capacity-approaching classical codes like sparse codes and quantum turbo codes. However, quantum codes obtained in this manner do not entirely evoke the stupendous error correcting abilities of their classical counterparts. This occurs because classical strategies ignore important differences between the quantum and classical paradigms, an issue that needs to be addressed if quantum error correction is to succeed in its battle with decoherence. In this dissertation we study a phenomenon exclusive to the quantum paradigm, known as degeneracy, and its effects on the performance of sparse quantum codes. Furthermore, we also analyze and present methods to improve the performance of a specific family of sparse quantum codes in various different scenarios.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-03-08
2022
2022-02-01
2022
2022-02-01
2022
2022-02-14
dc.type.none.fl_str_mv doctoral thesis
http://purl.org/coar/resource_type/c_db06
dc.type.openaire.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/10171/63067
url https://hdl.handle.net/10171/63067
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Servicio de Publicaciones. Universidad de Navarra
publisher.none.fl_str_mv Servicio de Publicaciones. Universidad de Navarra
dc.source.none.fl_str_mv reponame:Dadun. Depósito Académico Digital de la Universidad de Navarra
instname:Universidad de Navarra
instname_str Universidad de Navarra
reponame_str Dadun. Depósito Académico Digital de la Universidad de Navarra
collection Dadun. Depósito Académico Digital de la Universidad de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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