Symplectic-dilation mixed wavelet transform and its correspondence in quantum optics
Optics Letters, Vol. 34, Issue 5, pp. 551-553 (2009)
http://dx.doi.org/10.1364/OL.34.000551
Enhanced HTML 
Acrobat PDF (89 KB)
Abstract
The symplectic wavelet transform, which is related to the 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 the Parseval theorem and the inversion formula. The entangled-coherent state representation 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.
© 2009 Optical Society of America
OCIS Codes
(000.3860) General : Mathematical methods in physics
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
ToC Category:
Fourier Optics and Signal Processing
History
Original Manuscript: September 19, 2008
Revised Manuscript: November 15, 2008
Manuscript Accepted: December 3, 2008
Published: February 18, 2009
Citation
Hong-yi Fan, Shu-guang Liu, and Li-yun Hu, "Symplectic-dilation mixed wavelet transform and its correspondence in quantum optics," Opt. Lett. 34, 551-553 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-5-551
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- Frame-theory-based approach for determining the time–frequency distribution characterizing a dense group of reflecting objects (JOSAA)
- Curvature Sensors, Adaptive Optics, and Neumann Boundary Conditions (AO)
- Discrete Greens methods and their application to two-dimensional phase unwrapping (JOSAA)
- Symplectic wavelet transformation (OL)
- Entangled symplectic wavelet transformation (OL)
Related Conference Papers
- Topological decomposition of composite quantum state spaces
- Topological decomposition of composite quantum state spaces
- Noisy Grovers searching algorithm
- Noisy Grovers searching algorithm
- Information gain and entropy change in generalized quantum measurements
- Information gain and entropy change in generalized quantum measurements
- Additivity for some product channels
- Additivity for some product channels
- Slow and Fast Light in an Electro-Absorber
OSA is a member of 