Decoding algorithms for quantum error correcting codes.

Quantum computers would prove a ground-breaking effect in several re- search fields to the advantage of our society due to their proved capacity for solving some problems deemed as too complex for classical comput- ers. Consequently, there is a generalized academic effort for constructing a quantum...

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Autor: Marti i Olius, A. (Antonio) de|||/items/e798af54-2549-47da-b874-7506c94fd5ad
Tipo de recurso: tesis doctoral
Fecha de publicación:2024
País:España
Institución:Universidad de Navarra
Repositorio:Dadun. Depósito Académico Digital de la Universidad de Navarra
Idioma:inglés
OAI Identifier:oai:dadun.unav.edu:10171/69884
Acceso en línea:https://hdl.handle.net/10171/69884
Access Level:acceso abierto
Palabra clave:Quantum computing.
Surface code.
Quantum error correction.
Stabilizer codes.
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spelling Decoding algorithms for quantum error correcting codes.Algoritmos de decodificación de códigos correctores de errores cuánticos.Marti i Olius, A. (Antonio) de|||/items/e798af54-2549-47da-b874-7506c94fd5adQuantum computing.Surface code.Quantum error correction.Stabilizer codes.Quantum computers would prove a ground-breaking effect in several re- search fields to the advantage of our society due to their proved capacity for solving some problems deemed as too complex for classical comput- ers. Consequently, there is a generalized academic effort for constructing a quantum computer. Nonetheless, a real quantum computer does not suffice for implementing quantum algorithms reliably, it must be fault-tolerant. Quantum computers undergo noise due to a phenomenon generally named quantum decoherence, a fault-tolerant quantum computer has the capabil- ity to suppress the effects of decoherence to an extent. For that to happen, a quantum computer should consider quantum error correction, a process in which decoherence is studied and attempted to be corrected. Within the context of quantum error correction, the information from quantum proces- sors is to be stored in a larger, more redundant system named a quantum error correcting code. Afterwards, one can obtain a vector named syndrome which provides partial information on the effect decoherence has had on a code. The process of recovering the decoherence or error that the code has undergone is named decoding. This thesis studies decoders for quan- tum error correcting codes, their performance, complexity and adaption to different types of quantum decoherence.Servicio de Publicaciones. Universidad de Navarra.Etxezarreta-Martínez, J. (Josu)Crespo-Bofill, P. (Pedro)Dadun. Depósito Académico Digital Universidad de Navarra20242024-09-0620242024-07-0120242024-07-01doctoral thesishttp://purl.org/coar/resource_type/c_db06info:eu-repo/semantics/doctoralThesisapplication/pdfhttps://hdl.handle.net/10171/69884reponame: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:10171/698842026-06-21T12:47:57Z
dc.title.none.fl_str_mv Decoding algorithms for quantum error correcting codes.
Algoritmos de decodificación de códigos correctores de errores cuánticos.
title Decoding algorithms for quantum error correcting codes.
spellingShingle Decoding algorithms for quantum error correcting codes.
Marti i Olius, A. (Antonio) de|||/items/e798af54-2549-47da-b874-7506c94fd5ad
Quantum computing.
Surface code.
Quantum error correction.
Stabilizer codes.
title_short Decoding algorithms for quantum error correcting codes.
title_full Decoding algorithms for quantum error correcting codes.
title_fullStr Decoding algorithms for quantum error correcting codes.
title_full_unstemmed Decoding algorithms for quantum error correcting codes.
title_sort Decoding algorithms for quantum error correcting codes.
dc.creator.none.fl_str_mv Marti i Olius, A. (Antonio) de|||/items/e798af54-2549-47da-b874-7506c94fd5ad
author Marti i Olius, A. (Antonio) de|||/items/e798af54-2549-47da-b874-7506c94fd5ad
author_facet Marti i Olius, A. (Antonio) de|||/items/e798af54-2549-47da-b874-7506c94fd5ad
author_role author
dc.contributor.none.fl_str_mv Etxezarreta-Martínez, J. (Josu)
Crespo-Bofill, P. (Pedro)
Dadun. Depósito Académico Digital Universidad de Navarra
dc.subject.none.fl_str_mv Quantum computing.
Surface code.
Quantum error correction.
Stabilizer codes.
topic Quantum computing.
Surface code.
Quantum error correction.
Stabilizer codes.
description Quantum computers would prove a ground-breaking effect in several re- search fields to the advantage of our society due to their proved capacity for solving some problems deemed as too complex for classical comput- ers. Consequently, there is a generalized academic effort for constructing a quantum computer. Nonetheless, a real quantum computer does not suffice for implementing quantum algorithms reliably, it must be fault-tolerant. Quantum computers undergo noise due to a phenomenon generally named quantum decoherence, a fault-tolerant quantum computer has the capabil- ity to suppress the effects of decoherence to an extent. For that to happen, a quantum computer should consider quantum error correction, a process in which decoherence is studied and attempted to be corrected. Within the context of quantum error correction, the information from quantum proces- sors is to be stored in a larger, more redundant system named a quantum error correcting code. Afterwards, one can obtain a vector named syndrome which provides partial information on the effect decoherence has had on a code. The process of recovering the decoherence or error that the code has undergone is named decoding. This thesis studies decoders for quan- tum error correcting codes, their performance, complexity and adaption to different types of quantum decoherence.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-09-06
2024
2024-07-01
2024
2024-07-01
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/10171/69884
url https://hdl.handle.net/10171/69884
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
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