Phase measurements are of paramount importance in quantum optical sensing.However, the promise of a quantum advantage, the celebrated Heisenberg scaling, is severely curtailed in the presence of noise and loss.Herewe investigate systems in which phase and absorption profiles are linked by Kramers-Kronig relations and show that, in the limit of a large photon number, their use connects the uncertainties on the profiles attainable by optimal probes for loss and phase. This underlines a physical motivation for which the Heisenberg scaling for the phase is lost. Our results bear practical implications, revealing the metrological capabilities of absorption measurements in determining phase profiles.
Kramers-Kronig relations and precision limits in quantum phase estimation / I. Gianani, F. Albarelli, A. Verna, V. Cimini, R. Demkowicz-Dobrzanski, M. Barbieri. - In: OPTICA. - ISSN 2334-2536. - 8:12(2021 Dec 20), pp. 1642-1645. [10.1364/OPTICA.440438]
Kramers-Kronig relations and precision limits in quantum phase estimation
F. AlbarelliSecondo
;
2021
Abstract
Phase measurements are of paramount importance in quantum optical sensing.However, the promise of a quantum advantage, the celebrated Heisenberg scaling, is severely curtailed in the presence of noise and loss.Herewe investigate systems in which phase and absorption profiles are linked by Kramers-Kronig relations and show that, in the limit of a large photon number, their use connects the uncertainties on the profiles attainable by optimal probes for loss and phase. This underlines a physical motivation for which the Heisenberg scaling for the phase is lost. Our results bear practical implications, revealing the metrological capabilities of absorption measurements in determining phase profiles.File | Dimensione | Formato | |
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