A frame approach to generalized Wigner quasi-probability functions for finite systems

Abstract In this paper we address the definition and explicit computation of quasi-probability functions, such as the Wigner function, for the discrete systems with SU ( D ) symmetry. To do so, we introduce the concept of coherent superstates and super-frames, that gives a natural interpretation to the Stratonovich-Weyl approach to phase-space quantum mechanics. The expressions that we obtain are compatible with previous results while they are more general and give an insight into how this problem might be solved for more complex cases. In addition, time evolution for quasi-probability functions is addressed using the aforementioned formalism and some examples are given.