Semiparametric estimation of the Hong-Ou-Mandel profile

Year: 2021

Authors: Cimini V., Albarelli F., Gianani I., Barbieri M.

Autors Affiliation: Univ Roma Tre, Dipartimento Sci, Via Vasca Navale 84, I-00146 Rome, Italy; Sapienza Univ Roma, Dipartimento Fis, Piazzale Aldo Moro 5, I-00185 Rome, Italy; Univ Warsaw, Fac Phys, Pasteura 5, PL-02093 Warsaw, Poland; Univ Warwick, Dept Phys, Coventry, W Midlands, England; CNR, Ist Nazl Ott, Largo Enrico Fermi 6, I-50125 Florence, Italy.

Abstract: We apply the theory of semiparametric estimation to a Hong-Ou-Mandel interference experiment with a spectrally entangled two-photon state generated by spontaneous parametric down-conversion. Thanks to the semiparametric approach, we can evaluate the Cramer-Rao bound and find an optimal estimator for a particular parameter of interest without assuming perfect knowledge of the two-photon wave function, formally treated as an infinity of nuisance parameters. In particular, we focus on the estimation of the Hermite-Gauss components of the marginal symmetrized wave function, whose Fourier transform governs the shape of the temporal coincidence profile. We show that negativity of these components is an entanglement witness of the two-photon state.

Journal/Review: PHYSICAL REVIEW A

Volume: 104 (6)      Pages from: L061701-1  to: L061701-6

More Information: Acknowledgments. We acknowledge useful discussion with F. Sciarrino. V.C., I.G., and M.B. acknowledge support from the FET-OPEN-RIA grant STORMYTUNE (Grant Agree-ment No. 899587) of the European Commission. V.C. is supported by the Amaldi Research Center funded by the Min-istero dell’Istruzione dell’Universita e della Ricerca (Ministry of Education, University and Research) program Diparti-mento di Eccellenza (Grant No. CUP:B81I18001170001) . F.A. acknowledges financial support from the National Sci-ence Center (Poland) Grant No. 2016/22/E/ST2/00559 and UK EPSRC (EP/V04818X/1) .
KeyWords: Quantum; Photons; Interference; Space
DOI: 10.1103/PhysRevA.104.L061701

Citations: 3
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-17
References taken from IsiWeb of Knowledge: (subscribers only)
Connecting to view paper tab on IsiWeb: Click here
Connecting to view citations from IsiWeb: Click here