Ultimate sensitivity of multiparameter estimation in quantum sensing with undetected photons

Fuente: arXiv
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Autori principali: Panda, Sanjeet Swaroop, Conlon, Lorcan O., Gong, Li, Lam, Ping Koy, Zhao, Jie, Cho, Young-Wook, Lecamwasam, Ruvi
Natura: Preprint
Pubblicazione: 2026
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author Panda, Sanjeet Swaroop
Conlon, Lorcan O.
Gong, Li
Lam, Ping Koy
Zhao, Jie
Cho, Young-Wook
Lecamwasam, Ruvi
author_facet Panda, Sanjeet Swaroop
Conlon, Lorcan O.
Gong, Li
Lam, Ping Koy
Zhao, Jie
Cho, Young-Wook
Lecamwasam, Ruvi
contents Quantum sensing with undetected photons is a technique where photons of one wavelength probe a sample, but information is extracted by measuring photons of another wavelength that never interacts with the sample. This has seen significant experimental advances in applications such as spectroscopy, microscopy, and bio-sensing. However, a detailed theoretical analysis using the tools of quantum metrology is currently lacking. Thus it is unclear how far away current schemes are from fundamental limits, and what the optimal measurement strategies are. We apply a multiparameter quantum estimation framework to quantify the error when estimating the unknown transmission and phase shift of a sample. The optimal measurement scheme is shown to require only a single controllable phase shift, easily implementable in existing setups. We also study how to use multipass interactions to maximise information gain. In general the optimum number of passes scales inversely with the log of the transmission of the sample. This work clarifies the metrological power of quantum sensing with undetected photons, and provides guidance for the design of experiments requiring high sensitivity.
format Preprint
id arxiv_https___arxiv_org_abs_2604_19120
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ultimate sensitivity of multiparameter estimation in quantum sensing with undetected photons
Panda, Sanjeet Swaroop
Conlon, Lorcan O.
Gong, Li
Lam, Ping Koy
Zhao, Jie
Cho, Young-Wook
Lecamwasam, Ruvi
Quantum Physics
Quantum sensing with undetected photons is a technique where photons of one wavelength probe a sample, but information is extracted by measuring photons of another wavelength that never interacts with the sample. This has seen significant experimental advances in applications such as spectroscopy, microscopy, and bio-sensing. However, a detailed theoretical analysis using the tools of quantum metrology is currently lacking. Thus it is unclear how far away current schemes are from fundamental limits, and what the optimal measurement strategies are. We apply a multiparameter quantum estimation framework to quantify the error when estimating the unknown transmission and phase shift of a sample. The optimal measurement scheme is shown to require only a single controllable phase shift, easily implementable in existing setups. We also study how to use multipass interactions to maximise information gain. In general the optimum number of passes scales inversely with the log of the transmission of the sample. This work clarifies the metrological power of quantum sensing with undetected photons, and provides guidance for the design of experiments requiring high sensitivity.
title Ultimate sensitivity of multiparameter estimation in quantum sensing with undetected photons
topic Quantum Physics
url https://arxiv.org/abs/2604.19120