A tomographic setting for quasi-distribution functions

Man’ko, V. I. ; Marmo, G. ; Simoni, A. ; Sudarshan, E. C. G. ; Ventriglia, F. (2008) A tomographic setting for quasi-distribution functions Reports on Mathematical Physics, 61 (3). pp. 337-359. ISSN 0034-4877

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0034-4877(08)00016-5

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Quantum Tomograms; Coherent State Tomograms; Photon Number Tomograms; Husimi-kano Quasi-distribution; Sudarshan's Diagonal Coherent State Representation; f- and q-oscillators
ID Code:50989
Deposited On:27 Jul 2011 13:05
Last Modified:18 May 2016 05:05

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