On the logical error rate of sparse quantum codes
The quantum paradigm presents a phenomenon known as degeneracy that can potentially improve the performance of quantum error correcting codes. However, the effects of this mechanism are sometimes ignored when evaluating the performance of sparse quantum codes and the logical error rate is not always...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| 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:10171/123881 |
| Acceso en línea: | https://hdl.handle.net/10171/123881 |
| Access Level: | acceso abierto |
| Palabra clave: | Iterative decoding Quantum error correction (QEC) Quantum low density generator matrix codes Quantum low-density parity check (QLDPC) codes |
| id |
ES_dbbc0fb5631139d99a8cc5d732dcc9bc |
|---|---|
| oai_identifier_str |
oai:dadun.unav.edu:10171/123881 |
| network_acronym_str |
ES |
| network_name_str |
España |
| repository_id_str |
|
| spelling |
On the logical error rate of sparse quantum codesFuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcdGarcia-Frias, J. (Javier)|||/items/b2376070-36c8-4c53-a014-1db9a1f84287Iterative decodingQuantum error correction (QEC)Quantum low density generator matrix codesQuantum low-density parity check (QLDPC) codesThe quantum paradigm presents a phenomenon known as degeneracy that can potentially improve the performance of quantum error correcting codes. However, the effects of this mechanism are sometimes ignored when evaluating the performance of sparse quantum codes and the logical error rate is not always correctly reported. In this article, we discuss previously existing methods to compute the logical error rate and we present an efficient coset-based method inspired by classical coding strategies to estimate degenerate errors and distinguish them from logical errors. Additionally, we show that the proposed method presents a computational advantage for the family of Calderbank–Shor–Steane codes. We use this method to prove that degenerate errors are frequent in a specific family of sparse quantum codes, which stresses the importance of accurately reporting their performance. Our results also reveal that the modified decoding strategies proposed in the literature are an important tool to improve the performance of sparse quantum codes.IEEEDadun. Depósito Académico Digital Universidad de Navarra20222022-01-0120222022-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10171/123881reponame: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:10171/1238812026-06-21T12:47:57Z |
| dc.title.none.fl_str_mv |
On the logical error rate of sparse quantum codes |
| title |
On the logical error rate of sparse quantum codes |
| spellingShingle |
On the logical error rate of sparse quantum codes Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4 Iterative decoding Quantum error correction (QEC) Quantum low density generator matrix codes Quantum low-density parity check (QLDPC) codes |
| title_short |
On the logical error rate of sparse quantum codes |
| title_full |
On the logical error rate of sparse quantum codes |
| title_fullStr |
On the logical error rate of sparse quantum codes |
| title_full_unstemmed |
On the logical error rate of sparse quantum codes |
| title_sort |
On the logical error rate of sparse quantum codes |
| dc.creator.none.fl_str_mv |
Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4 Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12 Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd Garcia-Frias, J. (Javier)|||/items/b2376070-36c8-4c53-a014-1db9a1f84287 |
| author |
Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4 |
| author_facet |
Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4 Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12 Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd Garcia-Frias, J. (Javier)|||/items/b2376070-36c8-4c53-a014-1db9a1f84287 |
| author_role |
author |
| author2 |
Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12 Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd Garcia-Frias, J. (Javier)|||/items/b2376070-36c8-4c53-a014-1db9a1f84287 |
| author2_role |
author author author |
| dc.contributor.none.fl_str_mv |
Dadun. Depósito Académico Digital Universidad de Navarra |
| dc.subject.none.fl_str_mv |
Iterative decoding Quantum error correction (QEC) Quantum low density generator matrix codes Quantum low-density parity check (QLDPC) codes |
| topic |
Iterative decoding Quantum error correction (QEC) Quantum low density generator matrix codes Quantum low-density parity check (QLDPC) codes |
| description |
The quantum paradigm presents a phenomenon known as degeneracy that can potentially improve the performance of quantum error correcting codes. However, the effects of this mechanism are sometimes ignored when evaluating the performance of sparse quantum codes and the logical error rate is not always correctly reported. In this article, we discuss previously existing methods to compute the logical error rate and we present an efficient coset-based method inspired by classical coding strategies to estimate degenerate errors and distinguish them from logical errors. Additionally, we show that the proposed method presents a computational advantage for the family of Calderbank–Shor–Steane codes. We use this method to prove that degenerate errors are frequent in a specific family of sparse quantum codes, which stresses the importance of accurately reporting their performance. Our results also reveal that the modified decoding strategies proposed in the literature are an important tool to improve the performance of sparse quantum codes. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022 2022-01-01 2022 2022-01-01 |
| 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/10171/123881 |
| url |
https://hdl.handle.net/10171/123881 |
| 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 |
IEEE |
| publisher.none.fl_str_mv |
IEEE |
| 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 |
|
| _version_ |
1869421703547846656 |
| score |
15.812429 |