{"title":"Visibility Stokes parameters as a foundation for quantum information science with undetected photons","authors":"Jaroslav Kysela, Markus Gräfe, Jorge Fuenzalida","doi":"arxiv-2409.10740","DOIUrl":null,"url":null,"abstract":"The phenomenon of induced coherence without induced emission allows to\nreconstruct the quantum state of a photon that remains undetected. The state\ninformation is transferred to its partner photon via optical coherence. Using\nthis phenomenon, a number of established quantum information protocols could be\nadapted for undetected photons. Despite partial attempts, no general procedure\nfor such adaptation exists. Here we shed light on the matter by showing the\nclose relation between two very dissimilar techniques, namely the quantum state\ntomography of qubits and the recently developed quantum state tomography of\nundetected photons. We do so by introducing a set of parameters that quantify\nthe coherence and that mimic the Stokes parameters known from the polarization\nstate tomography. We also perform a thorough analysis of the environment of\nundetected photons and its role in the reconstruction process.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":"12 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10740","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The phenomenon of induced coherence without induced emission allows to
reconstruct the quantum state of a photon that remains undetected. The state
information is transferred to its partner photon via optical coherence. Using
this phenomenon, a number of established quantum information protocols could be
adapted for undetected photons. Despite partial attempts, no general procedure
for such adaptation exists. Here we shed light on the matter by showing the
close relation between two very dissimilar techniques, namely the quantum state
tomography of qubits and the recently developed quantum state tomography of
undetected photons. We do so by introducing a set of parameters that quantify
the coherence and that mimic the Stokes parameters known from the polarization
state tomography. We also perform a thorough analysis of the environment of
undetected photons and its role in the reconstruction process.