The Gaussian-Smoothed Wigner Function and Its Application to Precision Analysis

2013/11/04 by Hai-Woong Lee, Lee, Hai-Woong
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1311.0666

4 pages, no figures

arxiv created 2013/11/04 · arxiv updated 2013/11/05

Abstract

We study a class of phase-space distribution functions that is generated from a Gaussian convolution of the Wigner distribution function. This class of functions represents the joint count probability in simultaneous measurements of position and momentum. We show that, using these functions, one can determine the expectation value of a certain class of operators accurately, even if measurement data performed only with imperfect detectors are available. As an illustration, we consider the eight-port homodyne detection experiment that performs simultaneous measurements of two quadrature amplitudes of a radiation field.

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