Wigner function and probability distribution for shifted and squeezed quadratures
Stefano Mancini, Vladimir I. Man’ko, P. Tombesi · Quantum and Semiclassical Optics Journal of the European Optical Society Part B · 1995
The probability distribution for rotated, squeezed and shifted quadratures is shown to be expressed in terms of the Wigner function (as well as in terms of the Q-function and density operator in the coordinate representation). The inverse transformation generalizing the homodyne detection formula is obtained.