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

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