A tomographic setting for quasi-distribution functions

Details A tomographic setting for quasi-distribution functions A tomographic setting for quasi-distribution functions

2006-04-20

arxiv.org/abs/quant-ph/0604148v2

Rept.Math.Phys.61:337-359,2008

Physics

Quantum Physics

A slightly enlarged version in which contact with the Agarwal-Wolf $\Omega$-operator ordering theory is made

Scientific paper

10.1016/S0034-4877(08)00016-5

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 $\Omega$-operator ordering theory is made.

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