A tomographic setting for quasi-distribution functions
Quantum Physics
2009-02-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The method of constructing the tomographic probability distributions describing quantum states in parallel with density operators is presented. Known examples of Husimi-Kano quasi-distribution and photon number tomography are reconsidered in the new setting. New tomographic schemes based on coherent states and nonlinear coherent states of deformed oscillators, including q-oscillators, are suggested. The associated identity decompositions providing Gram-Schmidt operators are explicitly given, and contact with the Agarwal-Wolf -operator ordering theory is made.
Cite
@article{arxiv.quant-ph/0604148,
title = {A tomographic setting for quasi-distribution functions},
author = {V. I. Man'ko and G. Marmo and A. Simoni and E. C. G. Sudarshan and F. Ventriglia},
journal= {arXiv preprint arXiv:quant-ph/0604148},
year = {2009}
}
Comments
A slightly enlarged version in which contact with the Agarwal-Wolf $\Omega$-operator ordering theory is made