Abstract

The symplectic wavelet transformation proposed in Opt. Lett. 31, 3432 (2006) , which is related to the optical Fresnel transform in the quantum optics version, is developed into an entangled symplectic wavelet transformation (ESWT) after pointing out the contrast between the single-mode Fresnel operator and the entangled Fresnel operator. The ESWT possesses well-behaved properties and corresponds to the entangled Fresnel transform [Phys. Lett. A 334, 132 (2005) ].

© 2007 Optical Society of America

Symplectic wavelet transformation

Hong-yi Fan and Hai-liang Lu
Opt. Lett. 31(23) 3432-3434 (2006)

Symplectic-dilation mixed wavelet transform and its correspondence in quantum optics

Hong-yi Fan, Shu-guang Liu, and Li-yun Hu
Opt. Lett. 34(5) 551-553 (2009)

Mother wavelets for complex wavelet transform derived by Einstein-Podolsky-Rosen entangled state representation

Hong-Yi Fan and Hai-Liang Lu
Opt. Lett. 32(5) 554-556 (2007)

Detecting entanglement by symplectic uncertainty relations

Alessio Serafini
J. Opt. Soc. Am. B 24(2) 347-354 (2007)

Joint transform correlator that uses wavelet transforms

X. J. Lu, A. Katz, E. G. Kanterakis, and N. P. Caviris
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