Mutual Unbiasedness in Coarse-Grained Continuous Variables

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We would like to thank A. Z. Khoury and U. Seyfarth for helpful discussions. D. S. T. and P. S. also thank A. Z. Khoury for the access to Lab facilities. The authors acknowledge financial support from the Brazilian funding agencies CNPq, CAPES, FAPERJ, and the National Institute of Science and Techn...

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Detalles Bibliográficos
Autores: Tasca D.S., Sánchez P., Walborn S.P., Rudnicki Ł.
Formato: artículo
Fecha de Publicación:2018
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/707
Enlace del recurso:https://hdl.handle.net/20.500.12390/707
https://doi.org/10.1103/PhysRevLett.120.040403
Nivel de acceso:acceso abierto
Materia:Quantum theory
Coarse Graining
Coarse-grained
Coarse-grained measurements
Conjugate variables
Continuous variable system
Fraunhofer diffraction
Diffraction
https://purl.org/pe-repo/ocde/ford#1.03.03
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network_acronym_str CONC
network_name_str CONCYTEC-Institucional
repository_id_str 4689
dc.title.none.fl_str_mv Mutual Unbiasedness in Coarse-Grained Continuous Variables
title Mutual Unbiasedness in Coarse-Grained Continuous Variables
spellingShingle Mutual Unbiasedness in Coarse-Grained Continuous Variables
Tasca D.S.
Quantum theory
Coarse Graining
Coarse-grained
Coarse-grained measurements
Conjugate variables
Conjugate variables
Continuous variable system
Fraunhofer diffraction
Diffraction
https://purl.org/pe-repo/ocde/ford#1.03.03
title_short Mutual Unbiasedness in Coarse-Grained Continuous Variables
title_full Mutual Unbiasedness in Coarse-Grained Continuous Variables
title_fullStr Mutual Unbiasedness in Coarse-Grained Continuous Variables
title_full_unstemmed Mutual Unbiasedness in Coarse-Grained Continuous Variables
title_sort Mutual Unbiasedness in Coarse-Grained Continuous Variables
author Tasca D.S.
author_facet Tasca D.S.
Sánchez P.
Walborn S.P.
Rudnicki Ł.
author_role author
author2 Sánchez P.
Walborn S.P.
Rudnicki Ł.
author2_role author
author
author
dc.contributor.author.fl_str_mv Tasca D.S.
Sánchez P.
Walborn S.P.
Rudnicki Ł.
dc.subject.none.fl_str_mv Quantum theory
topic Quantum theory
Coarse Graining
Coarse-grained
Coarse-grained measurements
Conjugate variables
Conjugate variables
Continuous variable system
Fraunhofer diffraction
Diffraction
https://purl.org/pe-repo/ocde/ford#1.03.03
dc.subject.es_PE.fl_str_mv Coarse Graining
Coarse-grained
Coarse-grained measurements
Conjugate variables
Conjugate variables
Continuous variable system
Fraunhofer diffraction
Diffraction
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.03.03
description We would like to thank A. Z. Khoury and U. Seyfarth for helpful discussions. D. S. T. and P. S. also thank A. Z. Khoury for the access to Lab facilities. The authors acknowledge financial support from the Brazilian funding agencies CNPq, CAPES, FAPERJ, and the National Institute of Science and Technology for Quantum Information. P. S. acknowledges financial support by Grant No. 233-2015 from CONCYTEC-FONDECYT, Peru. Ł. R. acknowledges financial support by Grant No. 2014/13/D/ST2/01886 of the National Science Center, Poland.
publishDate 2018
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/707
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1103/PhysRevLett.120.040403
dc.identifier.scopus.none.fl_str_mv 2-s2.0-85041013954
url https://hdl.handle.net/20.500.12390/707
https://doi.org/10.1103/PhysRevLett.120.040403
identifier_str_mv 2-s2.0-85041013954
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Physical Review Letters
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
_version_ 1839175478962814976
spelling Publicationrp01720600rp01214500rp01721600rp01719600Tasca D.S.Sánchez P.Walborn S.P.Rudnicki Ł.2024-05-30T23:13:38Z2024-05-30T23:13:38Z2018https://hdl.handle.net/20.500.12390/707https://doi.org/10.1103/PhysRevLett.120.0404032-s2.0-85041013954We would like to thank A. Z. Khoury and U. Seyfarth for helpful discussions. D. S. T. and P. S. also thank A. Z. Khoury for the access to Lab facilities. The authors acknowledge financial support from the Brazilian funding agencies CNPq, CAPES, FAPERJ, and the National Institute of Science and Technology for Quantum Information. P. S. acknowledges financial support by Grant No. 233-2015 from CONCYTEC-FONDECYT, Peru. Ł. R. acknowledges financial support by Grant No. 2014/13/D/ST2/01886 of the National Science Center, Poland.The notion of mutual unbiasedness for coarse-grained measurements of quantum continuous variable systems is considered. It is shown that while the procedure of "standard" coarse graining breaks the mutual unbiasedness between conjugate variables, this desired feature can be theoretically established and experimentally observed in periodic coarse graining. We illustrate our results in an optics experiment implementing Fraunhofer diffraction through a periodic diffraction grating, finding excellent agreement with the derived theory. Our results are an important step in developing a formal connection between discrete and continuous variable quantum mechanics.Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengAmerican Physical SocietyPhysical Review Lettersinfo:eu-repo/semantics/openAccessQuantum theoryCoarse Graining-1Coarse-grained-1Coarse-grained measurements-1Conjugate variables-1Conjugate variables-1Continuous variable system-1Fraunhofer diffraction-1Diffraction-1https://purl.org/pe-repo/ocde/ford#1.03.03-1Mutual Unbiasedness in Coarse-Grained Continuous Variablesinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#20.500.12390/707oai:repositorio.concytec.gob.pe:20.500.12390/7072024-05-30 15:36:01.675http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="2c6f0426-c0a5-4d32-ba03-97bbaf62ff8e"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Mutual Unbiasedness in Coarse-Grained Continuous Variables</Title> <PublishedIn> <Publication> <Title>Physical Review Letters</Title> </Publication> </PublishedIn> <PublicationDate>2018</PublicationDate> <DOI>https://doi.org/10.1103/PhysRevLett.120.040403</DOI> <SCP-Number>2-s2.0-85041013954</SCP-Number> <Authors> <Author> <DisplayName>Tasca D.S.</DisplayName> <Person id="rp01720" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Sánchez P.</DisplayName> <Person id="rp01214" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Walborn S.P.</DisplayName> <Person id="rp01721" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Rudnicki Ł.</DisplayName> <Person id="rp01719" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>American Physical Society</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Quantum theory</Keyword> <Keyword>Coarse Graining</Keyword> <Keyword>Coarse-grained</Keyword> <Keyword>Coarse-grained measurements</Keyword> <Keyword>Conjugate variables</Keyword> <Keyword>Conjugate variables</Keyword> <Keyword>Continuous variable system</Keyword> <Keyword>Fraunhofer diffraction</Keyword> <Keyword>Diffraction</Keyword> <Abstract>The notion of mutual unbiasedness for coarse-grained measurements of quantum continuous variable systems is considered. It is shown that while the procedure of &quot;standard&quot; coarse graining breaks the mutual unbiasedness between conjugate variables, this desired feature can be theoretically established and experimentally observed in periodic coarse graining. We illustrate our results in an optics experiment implementing Fraunhofer diffraction through a periodic diffraction grating, finding excellent agreement with the derived theory. Our results are an important step in developing a formal connection between discrete and continuous variable quantum mechanics.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
score 13.449131
Mutual Unbiasedness in Coarse-Grained Continuous Variables
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