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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 6 — Jun. 1, 2009
  • pp: 1360–1365

Quantum number theoretic transforms on multipartite finite systems

A. Vourdas and S. Zhang  »View Author Affiliations


JOSA A, Vol. 26, Issue 6, pp. 1360-1365 (2009)
http://dx.doi.org/10.1364/JOSAA.26.001360


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Abstract

A quantum system composed of p 1 subsystems, each of which is described with a p-dimensional Hilbert space (where p is a prime number), is considered. A quantum number theoretic transform on this system, which has properties similar to those of a Fourier transform, is studied. A representation of the Heisenberg–Weyl group in this context is also discussed.

© 2009 Optical Society of America

OCIS Codes
(070.2465) Fourier optics and signal processing : Finite analogs of Fourier transforms
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

History
Original Manuscript: March 4, 2009
Manuscript Accepted: April 17, 2009
Published: May 13, 2009

Citation
A. Vourdas and S. Zhang, "Quantum number theoretic transforms on multipartite finite systems," J. Opt. Soc. Am. A 26, 1360-1365 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-6-1360

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