Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899368 | Reports on Mathematical Physics | 2008 | 23 Pages |
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.
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Mathematical Physics