Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.

Time-varying quantum channels (TVQCs) have been proposed as a model to include fluctuations of the relaxation (T1) and dephasing times (T2). In previous works, realizations of multiqubit TVQCs have been assumed to be equal for all the qubits of an error correction block, implying that the random var...

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Detalles Bibliográficos
Autores: Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12, Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4, deMarti-iOlius, A. (Antonio)|||/items/c4b60774-5924-427a-bd59-067d40c6b36f, García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28, Rodríguez-Fonollosa, J. (Javier)|||/items/ef177211-4bb8-4496-8893-a0b3392b974e, Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad de Navarra
Repositorio:Dadun. Depósito Académico Digital de la Universidad de Navarra
Idioma:inglés
OAI Identifier:oai:dadun.unav.edu:10171/110942
Acceso en línea:https://hdl.handle.net/10171/110942
Access Level:acceso abierto
Palabra clave:Error-correction
Codes
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spelling Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4deMarti-iOlius, A. (Antonio)|||/items/c4b60774-5924-427a-bd59-067d40c6b36fGarcía-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28Rodríguez-Fonollosa, J. (Javier)|||/items/ef177211-4bb8-4496-8893-a0b3392b974eCrespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcdError-correctionCodesTime-varying quantum channels (TVQCs) have been proposed as a model to include fluctuations of the relaxation (T1) and dephasing times (T2). In previous works, realizations of multiqubit TVQCs have been assumed to be equal for all the qubits of an error correction block, implying that the random variables that describe the fluctuations of T1 and T2 are block-to-block uncorrelated but qubit-wise perfectly correlated for the same block. In this article, we perform a correlation analysis of the fluctuations of the relaxation times of five multiqubit quantum processors. Our results show that it is reasonable to assume that the fluctuations of the relaxation and dephasing times of superconducting qubits are local to each of the qubits of the system. Based on these results, we discuss the multiqubit TVQCs when the fluctuations of the decoherence parameters for an error correction block are qubit-wise uncorrelated (as well as from block-to-block), a scenario we have named the fast time-varying quantum channel (FTVQC). Furthermore, we lower-bound the quantum capacity of general FTVQCs based on a quantity we refer to as the ergodic quantum capacity. Finally, we use numerical simulations to study the performance of quantum error correction codes when they operate over FTVQCs.Dadun. Depósito Académico Digital Universidad de Navarra20232023-01-0120232023-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10171/110942reponame: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:10171/1109422026-06-21T12:47:57Z
dc.title.none.fl_str_mv Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
title Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
spellingShingle Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
Error-correction
Codes
title_short Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
title_full Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
title_fullStr Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
title_full_unstemmed Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
title_sort Multiqubit time-varying quantum channels for NISQ-era superconducting quantum processors.
dc.creator.none.fl_str_mv Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
deMarti-iOlius, A. (Antonio)|||/items/c4b60774-5924-427a-bd59-067d40c6b36f
García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28
Rodríguez-Fonollosa, J. (Javier)|||/items/ef177211-4bb8-4496-8893-a0b3392b974e
Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd
author Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
author_facet Etxezarreta-Martínez, J. (Josu)|||/items/375db260-c91e-44f2-a283-dde516524e12
Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
deMarti-iOlius, A. (Antonio)|||/items/c4b60774-5924-427a-bd59-067d40c6b36f
García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28
Rodríguez-Fonollosa, J. (Javier)|||/items/ef177211-4bb8-4496-8893-a0b3392b974e
Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd
author_role author
author2 Fuentes-Ugartemendia, P. (Patricio)|||/items/a90f537e-d194-4f85-879c-3692626ccae4
deMarti-iOlius, A. (Antonio)|||/items/c4b60774-5924-427a-bd59-067d40c6b36f
García-Frías, J. (Javier)|||/items/a57060af-6da0-4e4e-8dc6-6bbf90e63d28
Rodríguez-Fonollosa, J. (Javier)|||/items/ef177211-4bb8-4496-8893-a0b3392b974e
Crespo-Bofill, P. (Pedro)|||/items/8293cea3-6f3d-4700-b266-5b467e6eabcd
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Dadun. Depósito Académico Digital Universidad de Navarra
dc.subject.none.fl_str_mv Error-correction
Codes
topic Error-correction
Codes
description Time-varying quantum channels (TVQCs) have been proposed as a model to include fluctuations of the relaxation (T1) and dephasing times (T2). In previous works, realizations of multiqubit TVQCs have been assumed to be equal for all the qubits of an error correction block, implying that the random variables that describe the fluctuations of T1 and T2 are block-to-block uncorrelated but qubit-wise perfectly correlated for the same block. In this article, we perform a correlation analysis of the fluctuations of the relaxation times of five multiqubit quantum processors. Our results show that it is reasonable to assume that the fluctuations of the relaxation and dephasing times of superconducting qubits are local to each of the qubits of the system. Based on these results, we discuss the multiqubit TVQCs when the fluctuations of the decoherence parameters for an error correction block are qubit-wise uncorrelated (as well as from block-to-block), a scenario we have named the fast time-varying quantum channel (FTVQC). Furthermore, we lower-bound the quantum capacity of general FTVQCs based on a quantity we refer to as the ergodic quantum capacity. Finally, we use numerical simulations to study the performance of quantum error correction codes when they operate over FTVQCs.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01
2023
2023-01-01
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/10171/110942
url https://hdl.handle.net/10171/110942
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.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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