Quantum tomography, phase-space observables and generalized Markov kernels



: Pellonpaa JP

Publisher: IOP PUBLISHING LTD

: 2009

Journal of Physics A: Mathematical and Theoretical

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

: J PHYS A-MATH THEOR

: ARTN 465303

: 42

: 46

: 18

: 1751-8113

DOI: https://doi.org/10.1088/1751-8113/42/46/465303


We construct a generalized Markov kernel which transforms the observable associated with the homodyne tomography into a covariant phase-space observable with a regular kernel state. Illustrative examples are given in the cases of a 'Schrodinger cat' kernel state and the Cahill-Glauber s-parametrized distributions. Also we consider an example of a kernel state when the generalized Markov kernel cannot be constructed.



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