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

Abstract

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.

6.5 pages, 4 figures, PRA

References in corpus (11)

• Quantum Optical Metrology -- The Lowdown on High-N00N States
• Optimal Quantum Phase Estimation
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
• Local and Global Distinguishability in Quantum Interferometry
• Enhanced interferometry using squeezed thermal states and even or odd states
• Quantum interferometry with binary-outcome measurements in the presence of phase diffusion
• Fisher information of a squeezed-state interferometer with a finite photon-number resolution
• Quantum metrology at level anti-crossing
• Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
• Multi-outcome homodyne detection in a coherent-state light interferometer