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Photon statistics without photon counting S. Olivares, A. R. Rossi, M. G. A. Paris, G. Zambra (UniMi) A. Andreoni, M. Bondani (UniInsubria) M. Genovese,

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Presentation on theme: "Photon statistics without photon counting S. Olivares, A. R. Rossi, M. G. A. Paris, G. Zambra (UniMi) A. Andreoni, M. Bondani (UniInsubria) M. Genovese,"— Presentation transcript:

1 Photon statistics without photon counting S. Olivares, A. R. Rossi, M. G. A. Paris, G. Zambra (UniMi) A. Andreoni, M. Bondani (UniInsubria) M. Genovese, M. Gramegna, G. Brida (IEN-To) S. Olivares, A. R. Rossi, M. G. A. Paris, G. Zambra (UniMi) A. Andreoni, M. Bondani (UniInsubria) M. Genovese, M. Gramegna, G. Brida (IEN-To)

2 Summary Why the photon distribution ? Why not photon counting ? MaxLik estimation: iterative solution Experimental verification Outlooks Why the photon distribution ? Why not photon counting ? MaxLik estimation: iterative solution Experimental verification Outlooks

3 Photon distribution Nonclassicality Channel capacity Quantum radiography Nonclassicality Channel capacity Quantum radiography

4 Photon counting Photomultipliers / Hybrid photodetectors Solid state detectors Thermal detectors Homodyne detection (Quantum Tomography) Photomultipliers / Hybrid photodetectors Solid state detectors Thermal detectors Homodyne detection (Quantum Tomography)

5 On/Off detection Multiple quantum efficiencies LINPOS problem On/Off statistics η η quantum efficiency

6 Probability distribution Random sample Joint probability of the sample Probability distribution Random sample Joint probability of the sample MaxLik estimation Maxlik estimation take the value of the parameters which maximize the likelihood of the observed data

7 Likelihood of the data set Maximization of a function of several variables (numerical, time-consuming) MaxLik Estimation of

8 Iterative solution Convergence Accuracy Robustness Convergence Accuracy Robustness

9 Iterative solution Convergence # iterations x 1000

10 Iterative solution Accuracy Robustness to fluctuations on η Coherent state

11 CW regime Weak coherent state Heralded single-photon state

12 Pulsed regime Gaussian Thermal Multithermal

13 Current developments Extension to two or more modes (IEN) Comparison with schemes involving one- photon-resolving detectors Improving the approximation (Z. Hradil & J. Rehacek, Olomouc, Czech Rep) Extension to two or more modes (IEN) Comparison with schemes involving one- photon-resolving detectors Improving the approximation (Z. Hradil & J. Rehacek, Olomouc, Czech Rep)

14 Reconstruction of the whole density matrix Reconstruction of the Wigner function (Insubria) Reconstruction of the whole density matrix Reconstruction of the Wigner function (Insubria) Outlooks References qinf.fisica.unimi.it/~paris/

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