Multi-outcome homodyne detection in a coherent-state light interferometer

Abstract

The Cramér-Rao bound plays a central role in both classical and quantum parameter estimation, but finding the observable and the resulting inversion estimator that saturates this bound remains an open issue for general multi-outcome measurements. Here we consider multi-outcome homodyne detection in a coherent-light Mach-Zehnder interferometer and construct a family of inversion estimators that almost saturate the Cramér-Rao bound over the whole range of phase interval. This provides a clue on constructing optimal inversion estimators for phase estimation and other parameter estimation in any multi-outcome measurement.

7 pages, 4 figures

References in corpus (6)

• Quantum Optical Metrology -- The Lowdown on High-N00N States
• Optimal Quantum Phase Estimation
• Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
• Enhanced interferometry using squeezed thermal states and even or odd states
• Quantum interferometry with binary-outcome measurements in the presence of phase diffusion
• Quantum metrology at level anti-crossing

Cited by in corpus (1)

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