Discrete Wigner function and quantum-state tomography

Ulf Leonhardt
Phys. Rev. A 53, 2998 – Published 1 May 1996
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Abstract

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.

  • Received 2 January 1996

DOI:https://doi.org/10.1103/PhysRevA.53.2998

©1996 American Physical Society

Authors & Affiliations

Ulf Leonhardt

  • Department of Physics and Chemical Physics Institute, University of Oregon, Eugene, Oregon 97403
  • Arbeitsgruppe ``Nichtklassische Strahlung'' der Max-Planck-Gesellschaft an der Humboldt-Universität zu Berlin, Rudower Chaussee 5, 12484 Berlin, Germany

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Issue

Vol. 53, Iss. 5 — May 1996

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