Optimized generation of spatial qudits by using a pure phase spatial light modulator

Autores
Varga, Juan José Miguel; Rebón, Lorena; Solís Prosser, M. A.; Neves, L.; Ledesma, Silvia Adriana; Iemmi, Claudio César
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a method for preparing arbitrary pure states of spatial qudits, namely, D-dimensional ($D\geqslant 2$) quantum systems carrying information in the transverse momentum and position of single photons. For this purpose, a set of D slits with complex transmission are displayed on a spatial light modulator (SLM). In a recent work we have shown a method that requires a single phase-only SLM to control independently the complex coefficients which define the quantum state of dimension D. The amplitude information was codified by introducing phase gratings inside each slit, and the phase value of the complex transmission was added to the phase gratings. After a spatial filtering process, we obtained in the image plane the desired qudit state. Although this method has proven to be a good alternative to compact the previously reported architectures, it presents some features that could be improved. In this paper we present an alternative scheme to codify the required phase values that minimizes the effects of temporal phase fluctuations associated to the SLM where the codification is carried out. In this scheme, the amplitudes are set by appropriate phase gratings addressed at the SLM, while the relative phases are obtained by a lateral displacement of these phase gratings. We show that this method improves the quality of the prepared state and provides very high fidelities of preparation for any state. An additional advantage of this scheme is that a complete $2\pi $ modulation is obtained by shifting the grating by one period; hence the encoding is not limited by the phase modulation range achieved by the SLM. Numerical simulations, that take into account the phase fluctuations, show high fidelities for thousands of qubit states covering the whole Bloch sphere surface. Similar analyses are performed for qudits with D = 3 and D = 7.
Fil: Varga, Juan José Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; 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
Fil: Solís Prosser, M. A.. Universidad de Concepción; Chile
Fil: Neves, L.. Universidade Federal do Minas Gerais; Brasil
Fil: Ledesma, Silvia Adriana. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Iemmi, Claudio César. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Spatial Qudits
Spatial Light Modulators
Difraction Gratings
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/33455
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/33455
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Optimized generation of spatial qudits by using a pure phase spatial light modulatorVarga, Juan José MiguelRebón, LorenaSolís Prosser, M. A.Neves, L.Ledesma, Silvia AdrianaIemmi, Claudio CésarSpatial QuditsSpatial Light ModulatorsDifraction Gratingshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a method for preparing arbitrary pure states of spatial qudits, namely, D-dimensional ($D\geqslant 2$) quantum systems carrying information in the transverse momentum and position of single photons. For this purpose, a set of D slits with complex transmission are displayed on a spatial light modulator (SLM). In a recent work we have shown a method that requires a single phase-only SLM to control independently the complex coefficients which define the quantum state of dimension D. The amplitude information was codified by introducing phase gratings inside each slit, and the phase value of the complex transmission was added to the phase gratings. After a spatial filtering process, we obtained in the image plane the desired qudit state. Although this method has proven to be a good alternative to compact the previously reported architectures, it presents some features that could be improved. In this paper we present an alternative scheme to codify the required phase values that minimizes the effects of temporal phase fluctuations associated to the SLM where the codification is carried out. In this scheme, the amplitudes are set by appropriate phase gratings addressed at the SLM, while the relative phases are obtained by a lateral displacement of these phase gratings. We show that this method improves the quality of the prepared state and provides very high fidelities of preparation for any state. An additional advantage of this scheme is that a complete $2\pi $ modulation is obtained by shifting the grating by one period; hence the encoding is not limited by the phase modulation range achieved by the SLM. Numerical simulations, that take into account the phase fluctuations, show high fidelities for thousands of qubit states covering the whole Bloch sphere surface. Similar analyses are performed for qudits with D = 3 and D = 7.Fil: Varga, Juan José Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; 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; ArgentinaFil: Solís Prosser, M. A.. Universidad de Concepción; ChileFil: Neves, L.. Universidade Federal do Minas Gerais; BrasilFil: Ledesma, Silvia Adriana. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Iemmi, Claudio César. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaIOP Publishing2014-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/33455Solís Prosser, M. A.; Ledesma, Silvia Adriana; Rebón, Lorena; Iemmi, Claudio César; Neves, L.; Varga, Juan José Miguel; et al.; Optimized generation of spatial qudits by using a pure phase spatial light modulator; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 47; 22; 11-2014; 1-9; 2255040953-4075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/47/22/225504info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0953-4075/47/22/225504/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:05:50Zoai:ri.conicet.gov.ar:11336/33455instacron: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:34982025-09-10 13:05:50.37CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Optimized generation of spatial qudits by using a pure phase spatial light modulator
title Optimized generation of spatial qudits by using a pure phase spatial light modulator
spellingShingle Optimized generation of spatial qudits by using a pure phase spatial light modulator
Varga, Juan José Miguel
Spatial Qudits
Spatial Light Modulators
Difraction Gratings
title_short Optimized generation of spatial qudits by using a pure phase spatial light modulator
title_full Optimized generation of spatial qudits by using a pure phase spatial light modulator
title_fullStr Optimized generation of spatial qudits by using a pure phase spatial light modulator
title_full_unstemmed Optimized generation of spatial qudits by using a pure phase spatial light modulator
title_sort Optimized generation of spatial qudits by using a pure phase spatial light modulator
dc.creator.none.fl_str_mv Varga, Juan José Miguel
Rebón, Lorena
Solís Prosser, M. A.
Neves, L.
Ledesma, Silvia Adriana
Iemmi, Claudio César
author Varga, Juan José Miguel
author_facet Varga, Juan José Miguel
Rebón, Lorena
Solís Prosser, M. A.
Neves, L.
Ledesma, Silvia Adriana
Iemmi, Claudio César
author_role author
author2 Rebón, Lorena
Solís Prosser, M. A.
Neves, L.
Ledesma, Silvia Adriana
Iemmi, Claudio César
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Spatial Qudits
Spatial Light Modulators
Difraction Gratings
topic Spatial Qudits
Spatial Light Modulators
Difraction Gratings
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 present a method for preparing arbitrary pure states of spatial qudits, namely, D-dimensional ($D\geqslant 2$) quantum systems carrying information in the transverse momentum and position of single photons. For this purpose, a set of D slits with complex transmission are displayed on a spatial light modulator (SLM). In a recent work we have shown a method that requires a single phase-only SLM to control independently the complex coefficients which define the quantum state of dimension D. The amplitude information was codified by introducing phase gratings inside each slit, and the phase value of the complex transmission was added to the phase gratings. After a spatial filtering process, we obtained in the image plane the desired qudit state. Although this method has proven to be a good alternative to compact the previously reported architectures, it presents some features that could be improved. In this paper we present an alternative scheme to codify the required phase values that minimizes the effects of temporal phase fluctuations associated to the SLM where the codification is carried out. In this scheme, the amplitudes are set by appropriate phase gratings addressed at the SLM, while the relative phases are obtained by a lateral displacement of these phase gratings. We show that this method improves the quality of the prepared state and provides very high fidelities of preparation for any state. An additional advantage of this scheme is that a complete $2\pi $ modulation is obtained by shifting the grating by one period; hence the encoding is not limited by the phase modulation range achieved by the SLM. Numerical simulations, that take into account the phase fluctuations, show high fidelities for thousands of qubit states covering the whole Bloch sphere surface. Similar analyses are performed for qudits with D = 3 and D = 7.
Fil: Varga, Juan José Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; 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
Fil: Solís Prosser, M. A.. Universidad de Concepción; Chile
Fil: Neves, L.. Universidade Federal do Minas Gerais; Brasil
Fil: Ledesma, Silvia Adriana. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Iemmi, Claudio César. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We present a method for preparing arbitrary pure states of spatial qudits, namely, D-dimensional ($D\geqslant 2$) quantum systems carrying information in the transverse momentum and position of single photons. For this purpose, a set of D slits with complex transmission are displayed on a spatial light modulator (SLM). In a recent work we have shown a method that requires a single phase-only SLM to control independently the complex coefficients which define the quantum state of dimension D. The amplitude information was codified by introducing phase gratings inside each slit, and the phase value of the complex transmission was added to the phase gratings. After a spatial filtering process, we obtained in the image plane the desired qudit state. Although this method has proven to be a good alternative to compact the previously reported architectures, it presents some features that could be improved. In this paper we present an alternative scheme to codify the required phase values that minimizes the effects of temporal phase fluctuations associated to the SLM where the codification is carried out. In this scheme, the amplitudes are set by appropriate phase gratings addressed at the SLM, while the relative phases are obtained by a lateral displacement of these phase gratings. We show that this method improves the quality of the prepared state and provides very high fidelities of preparation for any state. An additional advantage of this scheme is that a complete $2\pi $ modulation is obtained by shifting the grating by one period; hence the encoding is not limited by the phase modulation range achieved by the SLM. Numerical simulations, that take into account the phase fluctuations, show high fidelities for thousands of qubit states covering the whole Bloch sphere surface. Similar analyses are performed for qudits with D = 3 and D = 7.
publishDate 2014
dc.date.none.fl_str_mv 2014-11
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/11336/33455
Solís Prosser, M. A.; Ledesma, Silvia Adriana; Rebón, Lorena; Iemmi, Claudio César; Neves, L.; Varga, Juan José Miguel; et al.; Optimized generation of spatial qudits by using a pure phase spatial light modulator; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 47; 22; 11-2014; 1-9; 225504
0953-4075
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33455
identifier_str_mv Solís Prosser, M. A.; Ledesma, Silvia Adriana; Rebón, Lorena; Iemmi, Claudio César; Neves, L.; Varga, Juan José Miguel; et al.; Optimized generation of spatial qudits by using a pure phase spatial light modulator; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 47; 22; 11-2014; 1-9; 225504
0953-4075
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/47/22/225504
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0953-4075/47/22/225504/meta
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
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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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score 12.993085

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