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A tomographic setting for quasi-distribution functions

V. I. Man'ko·G. Marmo·A. Simoni·E. C. G. Sudarshan·F. Ventriglia
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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 $Ω$-operator ordering theory is made.

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V. I. Man'ko, G. Marmo, A. Simoni, E. C. G. Sudarshan, F. Ventriglia. 2007-06-28. A tomographic setting for quasi-distribution functions. https://doi.org/10.1016/s0034-4877(08)00016-5

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