TY - JOUR
T1 - State reconstruction formulae for the S-distributions and quadratures
AU - Kiukas, Jukka
AU - Pellonpää, Juha Pekka
AU - Schultz, Jussi
N1 - Funding Information:
We wish to thank Pekka Lahti for useful comments on the manuscript. J, K. was supported by Emil Aaltonen Foundation and Finnish Cultural Foundation during the preparation of the manuscript. 1. S. was supported by Turku University Foundation.
Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2010/8/1
Y1 - 2010/8/1
N2 - 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.
AB - 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.
KW - Informational completeness
KW - Positive operator measures
KW - Quasi-probability distributions
KW - Rotated quadrature distributions
KW - State reconstruction
UR - http://www.scopus.com/inward/record.url?scp=79955807806&partnerID=8YFLogxK
U2 - 10.1016/S0034-4877(10)80024-2
DO - 10.1016/S0034-4877(10)80024-2
M3 - Article
AN - SCOPUS:79955807806
SN - 0034-4877
VL - 66
SP - 55
EP - 84
JO - Reports on Mathematical Physics
JF - Reports on Mathematical Physics
IS - 1
ER -