Translations and reflections on the torus: identities for discrete Wigner functions and transforms
Translations and reflections on the torus: identities for discrete Wigner functions and transforms
A finite Hilbert space can be associated to a periodic phase space, that is, a torus. A finite subgroup of operators corresponding to reflections and translations on the torus form respectively the basis for the discrete Weyl representation, including the Wigner function, and for its Fourier conjugate, the chord representation. …