A1 Refereed original research article in a scientific journal
STATE RECONSTRUCTION FORMULAE FOR THE S-DISTRIBUTIONS AND QUADRATURES
Authors: Kiukas J, Pellonpaa JP, Schultz J
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
Publication year: 2010
Journal: Reports on Mathematical Physics
Journal name in source: REPORTS ON MATHEMATICAL PHYSICS
Journal acronym: REP MATH PHYS
Number in series: 1
Volume: 66
Issue: 1
First page : 55
Last page: 84
Number of pages: 30
ISSN: 0034-4877
DOI: https://doi.org/10.1016/S0034-4877(10)80024-2(external)
Self-archived copy’s web address: https://arxiv.org/abs/0909.3416(external)
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.
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.