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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access December 29, 2017

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

  • Emanuele Roccia EMAIL logo , Marco G. Genoni , Luca Mancino , Ilaria Gianani , Marco Barbieri and Marco Sbroscia


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 Cramér-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 Cramér- Rao bounds for each of the two parameters.


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Received: 2017-11-15
Accepted: 2017-12-19
Published Online: 2017-12-29
Published in Print: 2017-12-20

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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