title: Quantum number theoretic transforms on multipartite finite systems.
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.
authors.affiliation: Department of Computing, University of Bradford, Bradford BD7 1DP, UK. A.Vourdas@Bradford.ac.uk
authors.forename: A
authors.initials: A
authors.lastname: Vourdas
authors.forename: S
authors.initials: S
authors.lastname: Zhang