On the Connection between Deutsch-Jozsa Algorithm and Bent Functions

Detalhes bibliográficos
Autor(a) principal: Marinho, Eraldo Pereira [UNESP]
Data de Publicação: 2021
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1742-6596/1730/1/012111
http://hdl.handle.net/11449/208452
Resumo: It is presently shown that the Deutsch-Jozsa algorithm is connected to the concept of bent function. Particularly, it is noticeable that the quantum circuit used to denote the well-known quantum algorithm is by itself the quantum computer that performs the Walsh transform of a Boolean function. Consequently, the output from the Deutsch-Jozsa algorithm when the hidden function is bent corresponds to a flat spectrum of quantum states.
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spelling On the Connection between Deutsch-Jozsa Algorithm and Bent FunctionsIt is presently shown that the Deutsch-Jozsa algorithm is connected to the concept of bent function. Particularly, it is noticeable that the quantum circuit used to denote the well-known quantum algorithm is by itself the quantum computer that performs the Walsh transform of a Boolean function. Consequently, the output from the Deutsch-Jozsa algorithm when the hidden function is bent corresponds to a flat spectrum of quantum states.Univ Estadual Paulista/UNESP Department of Statistics Applied Mathematics and Computing, Avenida 24 A, 1515Univ Estadual Paulista/UNESP Department of Statistics Applied Mathematics and Computing, Avenida 24 A, 1515Universidade Estadual Paulista (Unesp)Marinho, Eraldo Pereira [UNESP]2021-06-25T11:12:23Z2021-06-25T11:12:23Z2021-02-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1088/1742-6596/1730/1/012111Journal of Physics: Conference Series, v. 1730, n. 1, 2021.1742-65961742-6588http://hdl.handle.net/11449/20845210.1088/1742-6596/1730/1/0121112-s2.0-85101579554Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Seriesinfo:eu-repo/semantics/openAccess2021-10-23T19:02:10Zoai:repositorio.unesp.br:11449/208452Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:31:42.244843Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
title On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
spellingShingle On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
Marinho, Eraldo Pereira [UNESP]
title_short On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
title_full On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
title_fullStr On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
title_full_unstemmed On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
title_sort On the Connection between Deutsch-Jozsa Algorithm and Bent Functions
author Marinho, Eraldo Pereira [UNESP]
author_facet Marinho, Eraldo Pereira [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Marinho, Eraldo Pereira [UNESP]
description It is presently shown that the Deutsch-Jozsa algorithm is connected to the concept of bent function. Particularly, it is noticeable that the quantum circuit used to denote the well-known quantum algorithm is by itself the quantum computer that performs the Walsh transform of a Boolean function. Consequently, the output from the Deutsch-Jozsa algorithm when the hidden function is bent corresponds to a flat spectrum of quantum states.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-25T11:12:23Z
2021-06-25T11:12:23Z
2021-02-03
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1742-6596/1730/1/012111
Journal of Physics: Conference Series, v. 1730, n. 1, 2021.
1742-6596
1742-6588
http://hdl.handle.net/11449/208452
10.1088/1742-6596/1730/1/012111
2-s2.0-85101579554
url http://dx.doi.org/10.1088/1742-6596/1730/1/012111
http://hdl.handle.net/11449/208452
identifier_str_mv Journal of Physics: Conference Series, v. 1730, n. 1, 2021.
1742-6596
1742-6588
10.1088/1742-6596/1730/1/012111
2-s2.0-85101579554
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics: Conference Series
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_ 1808129331117948928

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