Experimental minimum-error quantum-state discrimination in high dimensions

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dc.creatorMiguel Ángel Solís Prosser
dc.creatorMário Foganholi Fernandes
dc.creatorOmar Alejandro Jiménez Henríquez
dc.creatorAldo Patricio Delgado Hidalgo
dc.creatorLeonardo Teixeira Neves
dc.date.accessioned2025-02-23T16:54:26Z
dc.date.accessioned2025-09-08T23:00:21Z
dc.date.available2025-02-23T16:54:26Z
dc.date.issued2017
dc.identifier.doihttps://doi.org/10.1103/PhysRevLett.118.100501
dc.identifier.issn1079-7114
dc.identifier.urihttps://hdl.handle.net/1843/80333
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofPhysical Review Letters
dc.rightsAcesso Restrito
dc.subjectComunicação quântica
dc.subjectInformação quântica
dc.subjectTomografia quântica
dc.subject.otherOptical tests of quantum theory
dc.subject.otherQuantum communication
dc.subject.otherQuantum information processing
dc.subject.otherQuantum measurements
dc.subject.otherQuantum metrology
dc.subject.otherQuantum state engineering
dc.subject.otherQuantum tomography
dc.titleExperimental minimum-error quantum-state discrimination in high dimensions
dc.typeArtigo de periódico
local.citation.issue10
local.citation.volume118
local.description.resumoQuantum mechanics forbids perfect discrimination among nonorthogonal states through a single shot measurement. To optimize this task, many strategies were devised that later became fundamental tools for quantum information processing. Here, we address the pioneering minimum-error (ME) measurement and give the first experimental demonstration of its application for discriminating nonorthogonal states in high dimensions. Our scheme is designed to distinguish symmetric pure states encoded in the transverse spatial modes of an optical field; the optimal measurement is performed by a projection onto the Fourier transform basis of these modes. For dimensions ranging from 𝐷=2 to 𝐷=21 and nearly 14 000 states tested, the deviations of the experimental results from the theoretical values range from 0.3% to 3.6% (getting below 2% for the vast majority), thus showing the excellent performance of our scheme. This ME measurement is a building block for high-dimensional implementations of many quantum communication protocols, including probabilistic state discrimination, dense coding with nonmaximal entanglement, and cryptographic schemes.
local.identifier.orcidhttps://orcid.org/0000-0002-2856-441X
local.identifier.orcidhttps://orcid.org/0009-0000-4557-9472
local.identifier.orcidhttps://orcid.org/0000-0002-8968-5733
local.identifier.orcidhttps://orcid.org/0000-0002-9589-1939
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.100501

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