Measurement compatibility in multiparameter quantum interferometry

Fuente: arXiv
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Main Authors: Jayakumar, Jayanth, Barbieri, Marco, Stobińska, Magdalena
Format: Preprint
Published: 2025
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author Jayakumar, Jayanth
Barbieri, Marco
Stobińska, Magdalena
author_facet Jayakumar, Jayanth
Barbieri, Marco
Stobińska, Magdalena
contents The Cramér-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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_18324
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Measurement compatibility in multiparameter quantum interferometry
Jayakumar, Jayanth
Barbieri, Marco
Stobińska, Magdalena
Quantum Physics
The Cramér-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.
title Measurement compatibility in multiparameter quantum interferometry
topic Quantum Physics
url https://arxiv.org/abs/2504.18324