Discrete Wigner function and quantum-state tomography
- 1 May 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 53 (5) , 2998-3013
- https://doi.org/10.1103/physreva.53.2998
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.Keywords
This publication has 101 references indexed in Scilit:
- Reconstructing the Density Operator via Simple ProjectorsPhysical Review Letters, 1995
- The quantum phase problem: a critical reviewPhysics Reports, 1995
- Nonclassical effects in phase spacePhysical Review A, 1995
- Spin quasi-distribution functionsFoundations of Physics, 1994
- Nonlinear atomic homodyne detection: A technique to detect macroscopic superpositions in a micromaserPhysical Review A, 1991
- On the Hermitian Optical Phase OperatorJournal of Modern Optics, 1989
- Joint Wigner distribution for spin-1/2 particlesFoundations of Physics, 1986
- Quantum mechanics without probability amplitudesFoundations of Physics, 1986
- Quantum mechanics in a discrete space-timeReports on Mathematical Physics, 1984
- When is the wigner quasi-probability density non-negative?Reports on Mathematical Physics, 1974