  Performing homodyne detection at one port of squeezed-state light
interferometer and then binarzing measurement data are important to achieve
super-resolving and super-sensitive phase measurements. Here we propose a new
data-processing technique by dividing the measurement quadrature into three
bins (equivalent to a multi-outcome measurement), which leads to a higher
improvement in the phase resolution and the phase sensitivity under realistic
experimental condition. Furthermore, we develop a new phase-estimation protocol
based on a combination of the inversion estimators of each outcome and show
that the estimator can saturate the Cramer-Rao lower bound, similar to
asymptotically unbiased maximum likelihood estimator.
