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Performing homodyne detection at one port of squeezed-state lightinterferometer and then binarzing measurement data are important to achievesuper-resolving and super-sensitive phase measurements. Here we propose a newdata-processing technique by dividing the measurement quadrature into threebins (equivalent to a multi-outcome measurement), which leads to a higherimprovement in the phase resolution and the phase sensitivity under realisticexperimental condition. Furthermore, we develop a new phase-estimation protocolbased on a combination of the inversion estimators of each outcome and showthat the estimator can saturate the Cramer-Rao lower bound, similar toasymptotically unbiased maximum likelihood estimator.

Data processing over single-port homodyne detection to realize super-resolution and super-sensitivity