On the relationship between Collins diffraction integration and quantum tomogram

We find a new relationship between Collins diffraction integration and quantum tomogram. We conclude that the tomogram of quantum state |ψ〉 is just the module square of the Fresnel transform function of ψ(x), and this transform is just performed through the Collins formula, which opens up a new appl...

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Bibliographic Details
Published inOptik (Stuttgart) Vol. 129; pp. 207 - 211
Main Authors Xu, Xing-Lei, Xu, Shi-Min, Li, Hong-Qi, Fan, Hong-Yi
Format Journal Article
LanguageEnglish
Published Elsevier GmbH 01.01.2017
Subjects
Collins diffraction integration
IWOP technique
Quantum tomogram
Collins diffraction integration
IWOP technique
Quantum tomogram
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Summary:We find a new relationship between Collins diffraction integration and quantum tomogram. We conclude that the tomogram of quantum state |ψ〉 is just the module square of the Fresnel transform function of ψ(x), and this transform is just performed through the Collins formula, which opens up a new application area of Collins formula in calculating quantum tomogram of various quantum states.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2016.10.043