Measurement compatibility in multiparameter quantum interferometry
Abstract
The Cram\'er-Rao bound captures completely the performance of single-parameter quantum sensors. On the other hand, its extension to multiple parameters demands more caution. Different aspects need to be captured at once, including, critically, compatibility. In this article we consider compatibility in quantum interferometry for an important class of probe states, measured by double homodyne or photon counters, standard benchmarks for these applications. We include the presence of loss and phase diffusion in the estimation of a phase. Our results illustrate how different weighting of the precision on individual parameters affects their compatibility, adding to the list of considerations for quantum multiparameter estimation.
Cite
@article{arxiv.2504.18324,
title = {Measurement compatibility in multiparameter quantum interferometry},
author = {Jayanth Jayakumar and Marco Barbieri and Magdalena Stobińska},
journal= {arXiv preprint arXiv:2504.18324},
year = {2026}
}
Comments
18 pages, 10 figures + Appendix. Major changes include results related to the Nagaoka-Hayashi bound and photon counting measurement. Minor text and bibliography edits