Measurement of Anomalous Moments of Creation and Annihilation Operators

We propose a scheme for measurements of anomalous moments of creation and annihilation operators requiring only one beam splitter, only one photodetector and not many measurements with phase-shift $\varphi$ in homodyning. This has advantageous over scheme of Shchukin and Vogel [Phys. Rev. A 72, 043808 (2005)] which requires many photodetectors, many beam splitters and a large number of measurements with phase-shift $\varphi$ as a Fourier transform is calculated integrating over $\varphi$.