A tomographic setting for quasi-distribution functions
arXiv:quant-ph/0604148 · doi: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, and contact with the Agarwal-Wolf -operator ordering theory is made.
A slightly enlarged version in which contact with the Agarwal-Wolf -operator ordering theory is made
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- f-oscillators deformation for Moyal algebras
- Superposition rule and entanglement in diagonal and probability representations of density states
- Tomography in Loop Quantum Cosmology