A1 Refereed original research article in a scientific journal

STATE RECONSTRUCTION FORMULAE FOR THE S-DISTRIBUTIONS AND QUADRATURES




AuthorsKiukas J, Pellonpaa JP, Schultz J

PublisherPERGAMON-ELSEVIER SCIENCE LTD

Publication year2010

Journal:Reports on Mathematical Physics

Journal name in sourceREPORTS ON MATHEMATICAL PHYSICS

Journal acronymREP MATH PHYS

Number in series1

Volume66

Issue1

First page 55

Last page84

Number of pages30

ISSN0034-4877

DOIhttps://doi.org/10.1016/S0034-4877(10)80024-2

Self-archived copy’s web addresshttps://arxiv.org/abs/0909.3416


Abstract
We consider the method of infinite matrix inversion in the context of quantum state reconstruction. Using this method we give rigorous proofs for reconstruction formulae for the Cahill-Glauber s-parametrized distributions and the rotated quadrature distributions. We also demonstrate how to construct the s-distributions from the quadrature data.



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