arXiv:2504.18324 · Physical Review A

Measurement compatibility in multiparameter quantum interferometry

Jayanth Jayakumar, Marco Barbieri, Magdalena Stobińska

Published Sep 11, 2025• 0 citations

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.

DOI: 10.1103/m8l6-8nct

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