Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

EPJ Web of Conferences

Numerical solution of photocounting statistics inverse problem for few-photon pulsed laser sources

P. P. Gostev, Sergey A Magnitskiy, A. S. Chirkin, Andrey V. Demin

Published Jan 1, 2019• 0 citations
Publisher

Abstract

We present a numerical procedure for recovering of photon statistics of few-photon pulsed laser sources. It provides controlled level of mean error for both of photon and photocounting statistics. It is shown that procedure is correct for model data with average error level of 10−4and fidelity 0.9998.
DOI
10.1051/epjconf/201922002004

Related papers

Recursive method for solving the inverse problem of photocount statistics

P. P. Gostev, С.А. Магницкий, A. S. Chirkin

An analytical recursive method for solving the inverse problem of photocount statistics, that is, for reconstructing the photon-number distribution from the photocount distribution, is proposed for few-photon light. It is shown that if the inverse problem is represented as a system of linear equations, then for finite distributions one can obtain a recurrence formula relating the photocount distribution and the photon-number distribution without restrictions on the quantum efficiency of photodetection.

Quantum Electronics•Sep 27, 2021•3 citations

Inverse problem in 2D photocounting statistics

Vitalij N. Kurashov, Andrey V. Kurashov

An analytical method to recover the 2D probability density function (PDF) of a random light field from the PDF of photon counts is presented. Some illustrations of the inversion procedure are given with application to the problem of light intensity interferometry.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Dec 1, 1997•0 citations

Stability of solutions to the inverse problem of photocount statistics obtained by the inverse Bernoulli transform.

P. P. Gostev, Sergey A Magnitskiy, A. S. Chirkin

A general criterion for evaluating the photocount distributions $Q_{m}$ in the case of few-photon light, which makes it possible to establish whether the solution to the inverse problem of photocount statistics by inverse Bernoulli transform method is stable for $\eta<0.5$, is found. As an example of application of the obtained criterion, the critical quantum efficiency $\eta_{cr}$ is found for compound Poisson distribution, below which the solution of the inverse problem of photocount statistics becomes unstable. It is also shown that the normalization of $Q_{m}$ is not sufficient to obtain a correct solution using the inverse Bernoulli transform.

•Oct 10, 2021•0 citations

Inverse problem of photocount statistics: Applicability criterion for the inverse Bernoulli transform method

P. P. Gostev, Sergey A Magnitskiy, A. S. Chirkin

It is shown that the applicability conditions for the inverse Bernoulli transform method to solve the inverse problem of photocount statistics are determined by the fulfillment of the associativity condition for multiplying the matrices included in this transformation. A general criterion for evaluating the photocount distributions ${Q}_{m}$ in the case of few-photon light, which makes it possible to establish whether the solution to the inverse problem of photocount statistics by the inverse Bernoulli transform method is applicable for $\ensuremath{\eta}<0.5$, is found. As an example of the application of the obtained criterion, the critical quantum efficiency ${\ensuremath{\eta}}_{\text{cr}}$ is found for compound Poisson distribution, below which the solution of the inverse problem of photocount statistics becomes incorrect. Additionally it is shown that the normalization of ${Q}_{m}$ is not sufficient to obtain a correct solution using the inverse Bernoulli transform.

Physical Review A•Apr 24, 2023•4 citations

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

Vyacheslav N. Starkov, А. А. Семенов, Olena Gomonay

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.

arXiv:0903.1725•Physical Review A•Jul 17, 2009•18 citations

Recovery of excess laser noise photon-number distribution from photocounting statistics

P. P. Gostev, Sergey A Magnitskiy, A. S. Chirkin

We propose a method to determine photon-number statistics of excess noise in laser radiation from measured photocounting statistics. The method based on the multi-objective optimization approach is applied to blind deconvolution problem to determine excess noise distribution from the convolution of this one and Poisson photon-number distribution of laser radiation.

International Conference Laser Optics (ICLO)•Nov 2, 2020•1 citation
An analytical recursive method for solving the inverse problem of photocount statistics, that is, for reconstructing the photon-number distribution from the photocount distribution, is proposed for few-photon light. It is shown that if the inverse problem is represented as a system of linear equations, then for finite distributions one can obtain a recurrence formula relating the photocount distribution and the photon-number distribution without restrictions on the quantum efficiency of photodetection.
A general criterion for evaluating the photocount distributions QmQ_{m}Qm​ in the case of few-photon light, which makes it possible to establish whether the solution to the inverse problem of photocount statistics by inverse Bernoulli transform method is stable for η<0.5\eta<0.5η<0.5, is found. As an example of application of the obtained criterion, the critical quantum efficiency ηcr\eta_{cr}ηcr​ is found for compound Poisson distribution, below which the solution of the inverse problem of photocount statistics becomes unstable. It is also shown that the normalization of QmQ_{m}Qm​ is not sufficient to obtain a correct solution using the inverse Bernoulli transform.
It is shown that the applicability conditions for the inverse Bernoulli transform method to solve the inverse problem of photocount statistics are determined by the fulfillment of the associativity condition for multiplying the matrices included in this transformation. A general criterion for evaluating the photocount distributions Qm{Q}_{m}Qm​ in the case of few-photon light, which makes it possible to establish whether the solution to the inverse problem of photocount statistics by the inverse Bernoulli transform method is applicable for $\ensuremath{\eta}<0.5$, is found. As an example of the application of the obtained criterion, the critical quantum efficiency ${\ensuremath{\eta}}_{\text{cr}}$ is found for compound Poisson distribution, below which the solution of the inverse problem of photocount statistics becomes incorrect. Additionally it is shown that the normalization of Qm{Q}_{m}Qm​ is not sufficient to obtain a correct solution using the inverse Bernoulli transform.