New complex integration transformation and its compatibility with complex Weyl-Wigner transformation and entangled state representation.
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 <eta| and <xi| that is compatible with eta-xi 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.
Fan
Hong-yi
HY
Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China.
Lv
Cui-hong
CH