STATE RECONSTRUCTION FORMULAE FOR THE S-DISTRIBUTIONS AND QUADRATURES



: Kiukas J, Pellonpaa JP, Schultz J

Publisher: PERGAMON-ELSEVIER SCIENCE LTD

: 2010

: Reports on Mathematical Physics

: REPORTS ON MATHEMATICAL PHYSICS

: REP MATH PHYS

: 1

: 66

: 1

: 55

: 84

: 30

: 0034-4877

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

: https://arxiv.org/abs/0909.3416


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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