Figure 4
Log plots of phase variance ratio to the lossless QCRB as a function of number of measurements ( M ) under phase drift noise only. For all plots shown, \(|\alpha|^{2}=100\), \(r=1\) and the standard deviation of the chosen Gaussian distribution is fixed to \(\sigma=0.15\). Note that parity and intensity measurement remain noisy even after 200 averaged measurements, where homodyne and intensity difference approach their optimal phase variance quickly in M.