Publicación:
Mutual Unbiasedness in Coarse-Grained Continuous Variables

dc.contributor.author Tasca D.S. es_PE
dc.contributor.author Sánchez P. es_PE
dc.contributor.author Walborn S.P. es_PE
dc.contributor.author Rudnicki Ł. es_PE
dc.date.accessioned 2024-05-30T23:13:38Z
dc.date.available 2024-05-30T23:13:38Z
dc.date.issued 2018
dc.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.
dc.description.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 "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.
dc.description.sponsorship Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - Concytec
dc.identifier.doi https://doi.org/10.1103/PhysRevLett.120.040403
dc.identifier.scopus 2-s2.0-85041013954
dc.identifier.uri https://hdl.handle.net/20.500.12390/707
dc.language.iso eng
dc.publisher American Physical Society
dc.relation.ispartof Physical Review Letters
dc.rights info:eu-repo/semantics/openAccess
dc.subject Quantum theory
dc.subject Coarse Graining es_PE
dc.subject Coarse-grained es_PE
dc.subject Coarse-grained measurements es_PE
dc.subject Conjugate variables es_PE
dc.subject Continuous variable system es_PE
dc.subject Fraunhofer diffraction es_PE
dc.subject Diffraction es_PE
dc.subject.ocde https://purl.org/pe-repo/ocde/ford#1.03.03
dc.title Mutual Unbiasedness in Coarse-Grained Continuous Variables
dc.type info:eu-repo/semantics/article
dspace.entity.type Publication
oairecerif.author.affiliation #PLACEHOLDER_PARENT_METADATA_VALUE#
oairecerif.author.affiliation #PLACEHOLDER_PARENT_METADATA_VALUE#
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