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/11449/208909 |
Resumo: | We study the exact open system dynamics of one- and 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 pi/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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Non-Markovian memory in a measurement-based quantum computerWe study the exact open system dynamics of one- and 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 pi/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.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Paulista, Fac Ciencias, BR-17033360 Bauru, SP, BrazilUniv Estadual Paulista, Fac Ciencias, BR-17033360 Bauru, SP, BrazilCAPES: 88887.371735/2019-00FAPESP: 2019/00700-9FAPESP: 2019/05445-7Amer Physical SocUniversidade Estadual Paulista (Unesp)Filenga, D. [UNESP]Mahlow, F. [UNESP]Fanchini, F. F. [UNESP]2021-06-25T11:24:27Z2021-06-25T11:24:27Z2020-10-27info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article11http://dx.doi.org/10.1103/PhysRevA.102.042615Physical Review A. College Pk: Amer Physical Soc, v. 102, n. 4, 11 p., 2020.2469-9926http://hdl.handle.net/11449/20890910.1103/PhysRevA.102.042615WOS:000582794500003Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2021-10-23T19:23:20Zoai:repositorio.unesp.br:11449/208909Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:44:17.390357Repositório 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- and 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 pi/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 2021-06-25T11:24:27Z 2021-06-25T11:24:27Z |
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. College Pk: Amer Physical Soc, v. 102, n. 4, 11 p., 2020. 2469-9926 http://hdl.handle.net/11449/208909 10.1103/PhysRevA.102.042615 WOS:000582794500003 |
url |
http://dx.doi.org/10.1103/PhysRevA.102.042615 http://hdl.handle.net/11449/208909 |
identifier_str_mv |
Physical Review A. College Pk: Amer Physical Soc, v. 102, n. 4, 11 p., 2020. 2469-9926 10.1103/PhysRevA.102.042615 WOS:000582794500003 |
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.format.none.fl_str_mv |
11 |
dc.publisher.none.fl_str_mv |
Amer Physical Soc |
publisher.none.fl_str_mv |
Amer Physical Soc |
dc.source.none.fl_str_mv |
Web of Science 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 |
|
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1808128693748367360 |