Abstract

Enlightened by the special transformation in our preceding paper [J. Mod. Opt.56, 1227 (2009)], we propose a new complex integration transformation corresponding to two mutually conjugate two-mode entangled states ⟨η| and ⟨ξ| that is compatible with η−ξ phase space quantum mechanics and can be used to obtain the complex fractional Fourier transformation kernel from the chirplet function. This transformation obeys the Parseval theorem and is invertible.

© 2009 Optical Society of America

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History
Original Manuscript: August 13, 2009
Manuscript Accepted: September 9, 2009
Published: October 9, 2009

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Author Affiliations

Hong-yi Fan, Cui-hong Lv

University of Science and Technology of China

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