Position and momentum tomography
Quantum Physics
2013-05-29 v1
Abstract
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 distribution for a large class of initial states, the relevant condition being the exponential boundedness of the distributions.
Keywords
Cite
@article{arxiv.0902.3890,
title = {Position and momentum tomography},
author = {Jukka Kiukas and Pekka Lahti and Jussi Schultz},
journal= {arXiv preprint arXiv:0902.3890},
year = {2013}
}
Comments
15 pages, 1 figure