  We show how discrete squeezed states in an $N^{2}$-dimensional phase space
can be properly constructed out of the finite-dimensional context. Such
discrete extensions are then applied to the framework of quantum tomography and
quantum information theory with the aim of establishing an initial study on the
interference effects between discrete variables in a finite phase-space.
Moreover, the interpretation of the squeezing effects is seen to be direct in
the present approach, and has some potential applications in different branches
of physics.
