Phys. Rev. A 53, 2998–3013 (1996)Discrete Wigner function and quantum-state tomographyReceived 2 January 1996; published in the issue dated May 1996 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. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.53.2998
DOI:
10.1103/PhysRevA.53.2998
PACS:
03.65.Bz
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