Revisit on quantum parameter estimation approach for Mach-Zehnder interferometry
Abstract
The Mach-Zehnder interferometer is a fundamental tool for measuring phase shifts between two light paths, serving as a crucial prototype for achieving high-precision measurements in various scientific and technological applications. In this study, we analyze different models for estimating relative phase shift in a general two-arm Mach-Zehnder interferometer. We demonstrated that single-parameter estimation models can be reduced from the two-parameter estimation model by imposing appropriate constraints on the parameter space. To make quantum Fisher information of the single-parameter estimation models meaningful, the corresponding constraints must be guaranteed in the experiment implementation. Furthermore, we apply the quantum Fisher information approach to analyze the Mach-Zehnder interferometer with the an input state composed of a displaced squeezed vacuum state and a coherent state, providing insights into the precision limits of such configurations.
Cite
@article{arxiv.2503.14306,
title = {Revisit on quantum parameter estimation approach for Mach-Zehnder interferometry},
author = {Bing-Shu Hu and Xiao-Ming Lu},
journal= {arXiv preprint arXiv:2503.14306},
year = {2025}
}