A1 Refereed original research article in a scientific journal
Quantum tomography, phase-space observables and generalized Markov kernels
Authors: Pellonpaa JP
Publisher: IOP PUBLISHING LTD
Publication year: 2009
Journal:Journal of Physics A: Mathematical and Theoretical
Journal name in sourceJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Journal acronym: J PHYS A-MATH THEOR
Article number: ARTN 465303
Volume: 42
Issue: 46
Number of pages: 18
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/42/46/465303
Abstract
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.
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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