Symplectic-dilation mixed wavelet transform and its correspondence in quantum optics
Quantum Physics
2009-11-13 v1
Abstract
The symplectic wavelet transformation [Opt. Lett. 31 (2006) 3432], which is related to quantum optical Fresnel transform, is developed to the symplectic-dilation mixed wavelet transform (SDWT). The SDWT involves both a real-variable dilation-transform and a complex-variable symplectic transform, and possesses well-behaved properties such as Parseval theorem and inversion formula. The entangled-coherent state representation (ESCR) not only underlies the SDWT, but also helps to derive the corresponding quantum transform operator whose counterpart in classical optics is the lens-Fresnel mixed transform [Phys. Lett. A 357 (2006) 163].
Keywords
Cite
@article{arxiv.0809.3302,
title = {Symplectic-dilation mixed wavelet transform and its correspondence in quantum optics},
author = {Hong-yi Fan and Shu-guang Liu and Li-yun Hu},
journal= {arXiv preprint arXiv:0809.3302},
year = {2009}
}
Comments
5 pages, no figure, review4