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 distributions for a large class of initial states, the relevant condition being the exponential boundedness of the distributions.
Original language | English |
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Article number | 052119 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 79 |
Issue number | 5 |
DOIs | |
Publication status | Published - 26 May 2009 |
Externally published | Yes |