Characteristic functions and quantum measurements of optical observables

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Published under licence by IOP Publishing Ltd
, , Citation Y Lai and H A Haus 1989 Quantum Opt. 1 99 DOI 10.1088/0954-8998/1/2/003

0954-8998/1/2/99

Abstract

Three characteristic functions are reviewed along with the quantum theory of linear systems and used to derive the P-representation, Wigner distribution and quasi-probability density of coherent states and squeezed states. The quasiprobability density is interpreted as the outcome of measurements utilising a beamsplitter with homodyne detection. The quasiprobability density concept is generalised and its interpretation in terms of a measurement is presented. The measurement utilises a beam splitter with one of its inputs in a squeezed state followed by two homodyne detectors.

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