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arXiv · 0902.3890

Position and momentum tomography

Jukka Kiukas·Pekka Lahti·Jussi Schultz
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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.

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Jukka Kiukas, Pekka Lahti, Jussi Schultz. 2009-02-23. Position and momentum tomography. https://doi.org/10.1103/physreva.79.052119

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