Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optik

On the relationship between Collins diffraction integration and quantum tomogram

Xing-Lei Xu, Shi-Min Xu, Hongqi Li, Hong-Yi Fan

Published Oct 21, 2016• 0 citations
Publisher
DOI
10.1016/j.ijleo.2016.10.043

Related papers

Quantum tomograms related to momentum density

I. A. Howard, Norman Henry March

Physics Letters A•Nov 3, 2005•1 citation

Multiplication rule for the Collins diffraction formula obtained by virtue of the Fresnel operator in quantum optics theory

Xing-Lei Xu, Hongqi Li, Hong-Yi Fan

By using the Fresnel operator we derive a multiplication rule for the Collins diffraction formula; the inverse of Collins diffraction integration can also be conveniently derived in this way in the context of quantum optics theory.

Journal of Modern Optics•Oct 17, 2011•3 citations

The two-mode quantum Fresnel operator and the multiplication rule of 2D Collins diffraction formula

Chuanmei Xie, Hong-Yi Fan

By using the two-mode Fresnel operator we derive a multiplication rule of two-dimensional (2D) Collins diffraction formula, the inverse of 2D Collins diffraction integration can also be conveniently derived in this way in the context of quantum optics theory.

Chinese Physics B•Apr 1, 2012•2 citations

2 Quantum Tomographic Methods

Giacomo Mauro D’Ariano, Matteo G. A. Paris, Massimiliano Federico Sacchi

Lecture notes in physics•Aug 18, 2004•28 citations

Quantum diffraction

Wilhelm E. Frahn

Rivista Del Nuovo Cimento•Oct 1, 1977•13 citations

Collins diffraction formula and the Wigner function in entangled state representation

Hong-Yi Fan, Liyun Hu

Based on the correspondence between Collins diffraction formula (optical Fresnel transform) and the transformation matrix element of a three-parameters two-mode squeezing operator in the entangled state representation (Opt. Lett. 31 (2006) 2622) we further explore the relationship between output field intensity determined by the Collins formula and the input field's probability distribution along an infinitely thin phase space strip both in spacial domain and frequency domain. The entangled Wigner function is introduced for recapitulating the result.

arXiv:0901.0364•Jan 4, 2009•0 citations
Based on the correspondence between Collins diffraction formula (optical Fresnel transform) and the transformation matrix element of a three-parameters two-mode squeezing operator in the entangled state representation (Opt. Lett. 31 (2006) 2622) we further explore the relationship between output field intensity determined by the Collins formula and the input field's probability distribution along an infinitely thin phase space strip both in spacial domain and frequency domain. The entangled Wigner function is introduced for recapitulating the result.