TY - JOUR
T1 - Position and momentum tomography
AU - Kiukas, Jukka
AU - Lahti, Pekka
AU - Schultz, Jussi
N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.
PY - 2009/5/26
Y1 - 2009/5/26
N2 - We illustrate the use of the statistical method of moments for determining the position and momentum distributions of a quantum object from the statistics of a single measurement. The method is used for three different, though related, models: the sequential measurement model, the Arthurs-Kelly model, and the eight-port homodyne detection model. In each case, the method of moments gives the position and momentum distributions for a large class of initial states, the relevant condition being the exponential boundedness of the distributions.
AB - We illustrate the use of the statistical method of moments for determining the position and momentum distributions of a quantum object from the statistics of a single measurement. The method is used for three different, though related, models: the sequential measurement model, the Arthurs-Kelly model, and the eight-port homodyne detection model. In each case, the method of moments gives the position and momentum distributions for a large class of initial states, the relevant condition being the exponential boundedness of the distributions.
UR - http://www.scopus.com/inward/record.url?scp=66349113734&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.79.052119
DO - 10.1103/PhysRevA.79.052119
M3 - Article
AN - SCOPUS:66349113734
SN - 1050-2947
VL - 79
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 052119
ER -