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Monitoring dispersive samples with single photons: the role of frequency correlations

Authors :
Roccia, Emanuele
Genoni, Marco G.
Mancino, Luca
Gianani, Ilaria
Barbieri, Marco
Sbroscia, Marco
Source :
Quantum Meas. Quantum Metrol. 4, 64 (2017)
Publication Year :
2017

Abstract

The physics that governs quantum monitoring may involve other degrees of freedom than the ones initialised and controlled for probing. In this context we address the simultaneous estimation of phase and dephasing characterizing a dispersive medium, and we explore the role of frequency correlations within a photon pair generated via parametric down-conversion, when used as a probe for the medium. We derive the ultimate quantum limits on the estimation of the two parameters, by calculating the corresponding quantum Cram\'er-Rao bound; we then consider a feasible estimation scheme, based on the measurement of Stokes operators, and address its absolute performances in terms of the correlation parameters, and, more fundamentally, of the role played by correlations in the simultaneous achievability of the quantum Cram\'er-Rao bounds for each of the two parameters.<br />Comment: to appear in Quantum Measurements and Quantum Metrology

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Journal :
Quantum Meas. Quantum Metrol. 4, 64 (2017)
Publication Type :
Report
Accession number :
edsarx.1712.06860
Document Type :
Working Paper
Full Text :
https://doi.org/10.1515/qmetro-2017-0008