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The theory of discrete Wigner functions and of discrete quantum-state tomography U. Leonhardt, Phys. Rev. Lett. 74, 4101 (1995) is studied in more detail guided by the picture of precession tomography. Odd- and even-dimensional systems (angular momenta and spins, bosons, and fermions) are considered separately. Relations between simple number theory and the quantum mechanics of finite-dimensional systems are pointed out. In particular, the multicomplementarity of the precession states distinguishes prime dimensions from composite ones. 1996 The American Physical Society.
Ulf Leonhardt (Wed,) studied this question.