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Semiparametric estimation of the Hong-Ou-Mandel profile
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Cimini, Valeria, Albarelli, Francesco, Gianani, Ilaria and Barbieri, Marco (2021) Semiparametric estimation of the Hong-Ou-Mandel profile. Physical Review A, 104 (6). L061701. doi:10.1103/PhysRevA.104.L061701 ISSN 1050-2947.
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Official URL: http://dx.doi.org/10.1103/PhysRevA.104.L061701
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 Cramér-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.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
| Journal or Publication Title: | Physical Review A | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 1050-2947 | ||||||
| Official Date: | 7 December 2021 | ||||||
| Dates: |
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| Volume: | 104 | ||||||
| Number: | 6 | ||||||
| Article Number: | L061701 | ||||||
| DOI: | 10.1103/PhysRevA.104.L061701 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access |
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