On the relationship between Collins diffraction integration and quantum tomogram

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• 作者：Xing-Lei Xu^a ; ^b ; ^{xxlwlx@126.com" class="auth_mail" title="E-mail the corresponding author} ; Shi-Min Xu^a ; ^b ; Hong-Qi Li^a ; ^b ; Hong-Yi Fan^c
• 关键词：Collins diffraction integration ; Quantum tomogram ; IWOP technique
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：129
• 期：Complete
• 页码：207-211
• 全文大小：262 K

文摘

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.