Numerical reconstruction of photon-number statistics from photocounting statistics: Regularization of an ill-posed problem

TL;DR

This paper presents a method for reconstructing photon-number statistics from photocounting data, effectively compensating for losses and noise, even under challenging experimental conditions.

Contribution

It introduces a regularization technique to address the ill-posed problem of reconstructing photon statistics from photocount data with noise and losses.

Findings

Effective loss compensation in photocounting measurements.

Successful reconstruction under low detection efficiency.

Robustness against experimental errors.

Abstract

We demonstrate a practical possibility of loss compensation in measured photocounting statistics in the presence of dark counts and background radiation noise. It is shown that satisfactory results are obtained even in the case of low detection efficiency and large experimental errors.