Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit that can capture its impact in exact terms. In quantum metrology, the introduction of the Fisher-information measurement noise susceptibility now allows one to quantify the robustness of measurement for single-parameter estimation. Here we extend this notion to the multiparameter quantum estimation scenario. We provide its mathematical definition in the form of a semidefinite program. Although a closed formula could not be found, we further derive an upper and a lower bound to the susceptibility. We then apply these techniques to two paradigmatic examples of multiparameter estimation: the joint estimation of phase and phase diffusion and the estimation of the different parameters describing the incoherent mixture of optical point sources. Our figure of merit provides clear indications on conditions allowing or hampering robustness of multiparameter measurements.

Fisher-information susceptibility for multiparameter quantum estimation / F. Albarelli, I. Gianani, M.G. Genoni, M. Barbieri. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 110:3(2024 Sep 26), pp. 032436.1-032436.11. [10.1103/physreva.110.032436]

Fisher-information susceptibility for multiparameter quantum estimation

M.G. Genoni;
2024

Abstract

Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit that can capture its impact in exact terms. In quantum metrology, the introduction of the Fisher-information measurement noise susceptibility now allows one to quantify the robustness of measurement for single-parameter estimation. Here we extend this notion to the multiparameter quantum estimation scenario. We provide its mathematical definition in the form of a semidefinite program. Although a closed formula could not be found, we further derive an upper and a lower bound to the susceptibility. We then apply these techniques to two paradigmatic examples of multiparameter estimation: the joint estimation of phase and phase diffusion and the estimation of the different parameters describing the incoherent mixture of optical point sources. Our figure of merit provides clear indications on conditions allowing or hampering robustness of multiparameter measurements.
Settore PHYS-04/A - Fisica teorica della materia, modelli, metodi matematici e applicazioni
   Spectral-Temporal Metrology with Tailored Quantum Measurements
   STORMYTUNE
   European Commission
   Horizon 2020 Framework Programme
   899587

   Recovering Information in Sloppy QUantum modEls (RISQUE)
   RISQUE
   MINISTERO DELL'UNIVERSITA' E DELLA RICERCA
   2022T25TR3_003

   Efficient simulation and design of quantum CONtrol sTRategies for mAny-Body quAntum SystemS (CONTRABASS)
   CONTRABASS
   MINISTERO DELL'UNIVERSITA' E DELLA RICERCA
   2022KB2JJM_001
26-set-2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1105061
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