Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes

Quantum turbo codes (QTC) have shown excellent error correction capabilities in the setting of quantum communication, achieving a performance less than 1 dB away from their corresponding hashing bounds. Decoding for QTCs typically assumes that perfect knowledge about the channel is available at the...

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Detalhes bibliográficos
Autores: Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12, Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd, García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universidad de Navarra
Repositorio:Dadun. Depósito Académico Digital de la Universidad de Navarra
Idioma:inglés
OAI Identifier:oai:dadun.unav.edu:10171/61895
Acesso em linha:https://hdl.handle.net/10171/61895
Access Level:acceso abierto
Palavra-chave:Materias Investigacion::Física::Generalidades
Quantum error correction
Turbo codes
Depolarizing channel
Estimation
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spelling Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo CodesEtxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcdGarcía-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28Materias Investigacion::Física::GeneralidadesQuantum error correctionTurbo codesDepolarizing channelEstimationQuantum turbo codes (QTC) have shown excellent error correction capabilities in the setting of quantum communication, achieving a performance less than 1 dB away from their corresponding hashing bounds. Decoding for QTCs typically assumes that perfect knowledge about the channel is available at the decoder. However, in realistic systems, such information must be estimated, and thus, there exists a mismatch between the true channel information and the estimated one. In this article, we first heuristically study the sensitivity of QTCs to such mismatch. Then, existing estimation protocols for the depolarizing channel are presented and applied in an off-line manner to provide bounds on how the use of off-line estimation techniques affects the error correction capabilities of QTCs. Finally, we present an on-line estimation method for the depolarizing probability, which, different from off-line estimation techniques, neither requires extra qubits, nor increases the latency. The application of the proposed method results in a performance similar to that obtained with QTCs using perfect channel information, while requiring less stringent conditions on the variability of the channel than off-line estimation techniques.MDPI AGDadun. Depósito Académico Digital Universidad de Navarra20212021-08-3020192019-01-0120192019-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10171/61895reponame: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:10171/618952026-06-21T12:47:57Z
dc.title.none.fl_str_mv Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
title Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
spellingShingle Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
Materias Investigacion::Física::Generalidades
Quantum error correction
Turbo codes
Depolarizing channel
Estimation
title_short Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
title_full Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
title_fullStr Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
title_full_unstemmed Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
title_sort Depolarizing Channel Mismatch and Estimation Protocols for Quantum Turbo Codes
dc.creator.none.fl_str_mv Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd
García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28
author Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
author_facet Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd
García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28
author_role author
author2 Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd
García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28
author2_role author
author
dc.contributor.none.fl_str_mv Dadun. Depósito Académico Digital Universidad de Navarra
dc.subject.none.fl_str_mv Materias Investigacion::Física::Generalidades
Quantum error correction
Turbo codes
Depolarizing channel
Estimation
topic Materias Investigacion::Física::Generalidades
Quantum error correction
Turbo codes
Depolarizing channel
Estimation
description Quantum turbo codes (QTC) have shown excellent error correction capabilities in the setting of quantum communication, achieving a performance less than 1 dB away from their corresponding hashing bounds. Decoding for QTCs typically assumes that perfect knowledge about the channel is available at the decoder. However, in realistic systems, such information must be estimated, and thus, there exists a mismatch between the true channel information and the estimated one. In this article, we first heuristically study the sensitivity of QTCs to such mismatch. Then, existing estimation protocols for the depolarizing channel are presented and applied in an off-line manner to provide bounds on how the use of off-line estimation techniques affects the error correction capabilities of QTCs. Finally, we present an on-line estimation method for the depolarizing probability, which, different from off-line estimation techniques, neither requires extra qubits, nor increases the latency. The application of the proposed method results in a performance similar to that obtained with QTCs using perfect channel information, while requiring less stringent conditions on the variability of the channel than off-line estimation techniques.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01
2019
2019-01-01
2021
2021-08-30
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10171/61895
url https://hdl.handle.net/10171/61895
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 MDPI AG
publisher.none.fl_str_mv MDPI AG
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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score 15,300719

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