Position and momentum tomography

Jukka Kiukas*, Pekka Lahti, Jussi Schultz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (SciVal)


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 languageEnglish
Article number052119
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number5
Publication statusPublished - 26 May 2009
Externally publishedYes


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