Non-Markovian memory in a measurement-based quantum computer
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.102.042615 http://hdl.handle.net/11449/221603 |
Resumo: | We study the exact open system dynamics of one- A nd two-qubit gates during a measurement-based quantum computation considering non-Markovian environments. We obtain analytical solutions for the average gate fidelities and analyze them for amplitude damping and phase damping channels. We show, for both channels, that the average fidelity is identical for the X gate and Z gate and very similar for the π/4 gate when considering the amplitude damping channel. Also, we show that fast application of the projective measurements does not necessarily imply high gate fidelity nor does slow application necessarily imply low gate fidelity. Indeed, for highly non-Markovian environments, it is of utmost importance to know the best time to perform the measurements, since a huge variation in the gate fidelity may occur given this scenario. Furthermore, we show that whereas for amplitude damping the knowledge of the dissipative map is sufficient to determine the best measurement times, i.e., the best times at which measures are taken, the same is not necessarily true for phase damping. For the latter, the time of the set of measures becomes crucial since a phase error in one qubit can fix the phase error that takes place in another. Finally, we show that these peculiar results disappear if all qubits are subjected to Markovian processes. |
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Repositório Institucional da UNESP |
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spelling |
Non-Markovian memory in a measurement-based quantum computerWe study the exact open system dynamics of one- A nd two-qubit gates during a measurement-based quantum computation considering non-Markovian environments. We obtain analytical solutions for the average gate fidelities and analyze them for amplitude damping and phase damping channels. We show, for both channels, that the average fidelity is identical for the X gate and Z gate and very similar for the π/4 gate when considering the amplitude damping channel. Also, we show that fast application of the projective measurements does not necessarily imply high gate fidelity nor does slow application necessarily imply low gate fidelity. Indeed, for highly non-Markovian environments, it is of utmost importance to know the best time to perform the measurements, since a huge variation in the gate fidelity may occur given this scenario. Furthermore, we show that whereas for amplitude damping the knowledge of the dissipative map is sufficient to determine the best measurement times, i.e., the best times at which measures are taken, the same is not necessarily true for phase damping. For the latter, the time of the set of measures becomes crucial since a phase error in one qubit can fix the phase error that takes place in another. Finally, we show that these peculiar results disappear if all qubits are subjected to Markovian processes.Universidade Estadual PaulistaUniversidade Estadual PaulistaUniversidade Estadual Paulista (UNESP)Filenga, D. [UNESP]Mahlow, F. [UNESP]Fanchini, F. F. [UNESP]2022-04-28T19:29:43Z2022-04-28T19:29:43Z2020-10-27info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.102.042615Physical Review A, v. 102, n. 4, 2020.2469-99342469-9926http://hdl.handle.net/11449/22160310.1103/PhysRevA.102.0426152-s2.0-85095133455Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2022-04-28T19:29:44Zoai:repositorio.unesp.br:11449/221603Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:41:41.470220Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Non-Markovian memory in a measurement-based quantum computer |
title |
Non-Markovian memory in a measurement-based quantum computer |
spellingShingle |
Non-Markovian memory in a measurement-based quantum computer Filenga, D. [UNESP] |
title_short |
Non-Markovian memory in a measurement-based quantum computer |
title_full |
Non-Markovian memory in a measurement-based quantum computer |
title_fullStr |
Non-Markovian memory in a measurement-based quantum computer |
title_full_unstemmed |
Non-Markovian memory in a measurement-based quantum computer |
title_sort |
Non-Markovian memory in a measurement-based quantum computer |
author |
Filenga, D. [UNESP] |
author_facet |
Filenga, D. [UNESP] Mahlow, F. [UNESP] Fanchini, F. F. [UNESP] |
author_role |
author |
author2 |
Mahlow, F. [UNESP] Fanchini, F. F. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Filenga, D. [UNESP] Mahlow, F. [UNESP] Fanchini, F. F. [UNESP] |
description |
We study the exact open system dynamics of one- A nd two-qubit gates during a measurement-based quantum computation considering non-Markovian environments. We obtain analytical solutions for the average gate fidelities and analyze them for amplitude damping and phase damping channels. We show, for both channels, that the average fidelity is identical for the X gate and Z gate and very similar for the π/4 gate when considering the amplitude damping channel. Also, we show that fast application of the projective measurements does not necessarily imply high gate fidelity nor does slow application necessarily imply low gate fidelity. Indeed, for highly non-Markovian environments, it is of utmost importance to know the best time to perform the measurements, since a huge variation in the gate fidelity may occur given this scenario. Furthermore, we show that whereas for amplitude damping the knowledge of the dissipative map is sufficient to determine the best measurement times, i.e., the best times at which measures are taken, the same is not necessarily true for phase damping. For the latter, the time of the set of measures becomes crucial since a phase error in one qubit can fix the phase error that takes place in another. Finally, we show that these peculiar results disappear if all qubits are subjected to Markovian processes. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-10-27 2022-04-28T19:29:43Z 2022-04-28T19:29:43Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.102.042615 Physical Review A, v. 102, n. 4, 2020. 2469-9934 2469-9926 http://hdl.handle.net/11449/221603 10.1103/PhysRevA.102.042615 2-s2.0-85095133455 |
url |
http://dx.doi.org/10.1103/PhysRevA.102.042615 http://hdl.handle.net/11449/221603 |
identifier_str_mv |
Physical Review A, v. 102, n. 4, 2020. 2469-9934 2469-9926 10.1103/PhysRevA.102.042615 2-s2.0-85095133455 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129107028869120 |