Controlled generation of mixed spatial qudits with arbitrary degree of purity

Autores
Varga, Juan José Miguel; Ledesma, Silvia Adriana; Iemmi, Claudio César; Rebón, Lorena
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose a method for preparing mixed quantum states of arbitrary dimension D (D≥2) which are codified in the discretized transverse momentum and position of single photons, once they are sent through an aperture with D slits. Following our previous technique we use a programmable single phase-only spatial light modulator (SLM) to define the aperture and set the complex transmission amplitude of each slit, allowing the independent control of the complex coefficients that define the quantum state. Since these SLMs give us the possibility to dynamically vary the complex coefficients of the state during the measurement time, we can generate not only pure states but also quantum states compatible with a mixture of pure quantum states. Therefore, by using these apertures varying on time according to a probability distribution, we have experimentally obtained D-dimensional quantum states with purities that depend on the parameters of the distribution through a clear analytical expression. This fact allows us to easily customize the states to be generated. Moreover, the method offers the possibility of working without changing the optical setup between pure and mixed states, or when the dimensionality of the states is increased. The obtained results show a quite good performance of our method at least up to dimension D=11, being the fidelity of the prepared states F>0.98 in every case.
Fil: Varga, Juan José Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Ledesma, Silvia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Iemmi, Claudio César. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Rebón, Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
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acceso abierto
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
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Consejo Nacional de Investigaciones Científicas y Técnicas
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oai:ri.conicet.gov.ar:11336/66712
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spelling Controlled generation of mixed spatial qudits with arbitrary degree of purityVarga, Juan José MiguelLedesma, Silvia AdrianaIemmi, Claudio CésarRebón, LorenaQUANTUM INFORMATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We propose a method for preparing mixed quantum states of arbitrary dimension D (D≥2) which are codified in the discretized transverse momentum and position of single photons, once they are sent through an aperture with D slits. Following our previous technique we use a programmable single phase-only spatial light modulator (SLM) to define the aperture and set the complex transmission amplitude of each slit, allowing the independent control of the complex coefficients that define the quantum state. Since these SLMs give us the possibility to dynamically vary the complex coefficients of the state during the measurement time, we can generate not only pure states but also quantum states compatible with a mixture of pure quantum states. Therefore, by using these apertures varying on time according to a probability distribution, we have experimentally obtained D-dimensional quantum states with purities that depend on the parameters of the distribution through a clear analytical expression. This fact allows us to easily customize the states to be generated. Moreover, the method offers the possibility of working without changing the optical setup between pure and mixed states, or when the dimensionality of the states is increased. The obtained results show a quite good performance of our method at least up to dimension D=11, being the fidelity of the prepared states F>0.98 in every case.Fil: Varga, Juan José Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Ledesma, Silvia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Iemmi, Claudio César. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Rebón, Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaAmerican Physical Society2017-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/66712Varga, Juan José Miguel; Ledesma, Silvia Adriana; Iemmi, Claudio César; Rebón, Lorena; Controlled generation of mixed spatial qudits with arbitrary degree of purity; American Physical Society; Physical Review A; 96; 3; 9-2017; 1-82469-99342469-9926CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.032309info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.96.032309info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:51:36Zoai:ri.conicet.gov.ar:11336/66712instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:51:36.495CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Controlled generation of mixed spatial qudits with arbitrary degree of purity
title Controlled generation of mixed spatial qudits with arbitrary degree of purity
spellingShingle Controlled generation of mixed spatial qudits with arbitrary degree of purity
Varga, Juan José Miguel
QUANTUM INFORMATION
title_short Controlled generation of mixed spatial qudits with arbitrary degree of purity
title_full Controlled generation of mixed spatial qudits with arbitrary degree of purity
title_fullStr Controlled generation of mixed spatial qudits with arbitrary degree of purity
title_full_unstemmed Controlled generation of mixed spatial qudits with arbitrary degree of purity
title_sort Controlled generation of mixed spatial qudits with arbitrary degree of purity
dc.creator.none.fl_str_mv Varga, Juan José Miguel
Ledesma, Silvia Adriana
Iemmi, Claudio César
Rebón, Lorena
author Varga, Juan José Miguel
author_facet Varga, Juan José Miguel
Ledesma, Silvia Adriana
Iemmi, Claudio César
Rebón, Lorena
author_role author
author2 Ledesma, Silvia Adriana
Iemmi, Claudio César
Rebón, Lorena
author2_role author
author
author
dc.subject.none.fl_str_mv QUANTUM INFORMATION
topic QUANTUM INFORMATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We propose a method for preparing mixed quantum states of arbitrary dimension D (D≥2) which are codified in the discretized transverse momentum and position of single photons, once they are sent through an aperture with D slits. Following our previous technique we use a programmable single phase-only spatial light modulator (SLM) to define the aperture and set the complex transmission amplitude of each slit, allowing the independent control of the complex coefficients that define the quantum state. Since these SLMs give us the possibility to dynamically vary the complex coefficients of the state during the measurement time, we can generate not only pure states but also quantum states compatible with a mixture of pure quantum states. Therefore, by using these apertures varying on time according to a probability distribution, we have experimentally obtained D-dimensional quantum states with purities that depend on the parameters of the distribution through a clear analytical expression. This fact allows us to easily customize the states to be generated. Moreover, the method offers the possibility of working without changing the optical setup between pure and mixed states, or when the dimensionality of the states is increased. The obtained results show a quite good performance of our method at least up to dimension D=11, being the fidelity of the prepared states F>0.98 in every case.
Fil: Varga, Juan José Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Ledesma, Silvia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Iemmi, Claudio César. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Rebón, Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We propose a method for preparing mixed quantum states of arbitrary dimension D (D≥2) which are codified in the discretized transverse momentum and position of single photons, once they are sent through an aperture with D slits. Following our previous technique we use a programmable single phase-only spatial light modulator (SLM) to define the aperture and set the complex transmission amplitude of each slit, allowing the independent control of the complex coefficients that define the quantum state. Since these SLMs give us the possibility to dynamically vary the complex coefficients of the state during the measurement time, we can generate not only pure states but also quantum states compatible with a mixture of pure quantum states. Therefore, by using these apertures varying on time according to a probability distribution, we have experimentally obtained D-dimensional quantum states with purities that depend on the parameters of the distribution through a clear analytical expression. This fact allows us to easily customize the states to be generated. Moreover, the method offers the possibility of working without changing the optical setup between pure and mixed states, or when the dimensionality of the states is increased. The obtained results show a quite good performance of our method at least up to dimension D=11, being the fidelity of the prepared states F>0.98 in every case.
publishDate 2017
dc.date.none.fl_str_mv 2017-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/66712
Varga, Juan José Miguel; Ledesma, Silvia Adriana; Iemmi, Claudio César; Rebón, Lorena; Controlled generation of mixed spatial qudits with arbitrary degree of purity; American Physical Society; Physical Review A; 96; 3; 9-2017; 1-8
2469-9934
2469-9926
CONICET Digital
CONICET
url http://hdl.handle.net/11336/66712
identifier_str_mv Varga, Juan José Miguel; Ledesma, Silvia Adriana; Iemmi, Claudio César; Rebón, Lorena; Controlled generation of mixed spatial qudits with arbitrary degree of purity; American Physical Society; Physical Review A; 96; 3; 9-2017; 1-8
2469-9934
2469-9926
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.032309
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.96.032309
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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