Ptychographic reconstruction of pure quantum states

dc.creatorMário Foganholi Fernandes
dc.creatorMiguel Ángel Solís Prosser
dc.creatorLeonardo Teixeira Neves
dc.date.accessioned2025-02-26T15:32:53Z
dc.date.accessioned2025-09-09T00:35:07Z
dc.date.available2025-02-26T15:32:53Z
dc.date.issued2020
dc.identifier.doihttps://doi.org/10.1364/OL.401832
dc.identifier.issn1539-4794
dc.identifier.urihttps://hdl.handle.net/1843/80460
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofOptics Letters
dc.rightsAcesso Restrito
dc.subjectLuz
dc.subjectMicroscópio
dc.subject.otherPtychographic reconstruction
dc.subject.otherQuantum states
dc.titlePtychographic reconstruction of pure quantum states
dc.typeArtigo de periódico
local.citation.epage6005
local.citation.issue21
local.citation.spage6002
local.citation.volume45
local.description.resumoThe quantum analogue of ptychography, a powerful coherent diffractive imaging technique, is a simple method for reconstructing 𝑑-dimensional pure states. It relies on measuring partially overlapping parts of the input state in a single orthonormal basis and feeding the outcomes to an iterative phase retrieval algorithm for postprocessing. We provide a proof of concept demonstration of this method by determining pure states given by superpositions of 𝑑 transverse spatial modes of an optical field. A set of n rank-r projectors, diagonal in the spatial mode basis, is used to generate 𝑛 partially overlapping parts of the input, and each part is projectively measured in the Fourier transformed basis. For d up to 32, we successfully reconstructed hundreds of random states using n=5 and n=d rank-⌈d/2⌉ projectors. The extension of quantum ptychography for other types of photonic spatial modes is outlined.
local.identifier.orcidhttps://orcid.org/0000-0002-2856-441X
local.identifier.orcidhttps://orcid.org/0000-0002-9589-1939
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://opg.optica.org/ol/abstract.cfm?uri=ol-45-21-6002

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