Constrained MaxLik reconstruction of multimode photon distributions
G. Brida, M. Genovese, A. Meda, S. Olivares, M. G. A. Paris, F., Piacentini

TL;DR
This paper introduces a constrained MaxLik method for reconstructing the full photon distribution of multimode fields generated by seeded PDC, improving convergence and accuracy without photon counting.
Contribution
A novel constrained MaxLik reconstruction technique that incorporates finite energy constraints for better accuracy in multimode photon distribution estimation.
Findings
Enhanced convergence rate of photon distribution reconstruction
Improved accuracy over previous methods
Effective reconstruction without photon counting
Abstract
We address the reconstruction of the full photon distribution of multimode fields generated by seeded parametric down-conversion (PDC). Our scheme is based on on/off avalanche photodetection assisted by maximum-likelihood (MaxLik) estimation and does not involve photon counting. We present a novel constrained MaxLik method that incorporates the request of finite energy to improve the rate of convergence and, in turn, the overall accuracy of the reconstruction.
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