Data processing over single-port homodyne detection to realize superresolution and supersensitivity
Jia-Min Xu, Aixi Chen, Wen Yang, Guangri Jin · Physical Review A · 2019
Performing homodyne detection at one port of a squeezed-state light interferometer and then binarizing the measurement data are important to achieve superresolving and supersensitive phase measurements. Here we propose an alternative 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 conditions. Furthermore, we develop an alternative phase-estimation protocol based on a combination of the inversion estimators of each outcome and show that the estimator can saturate the Cram\'er-Rao lower bound, similar to the asymptotically unbiased maximum likelihood estimator.