# Full statistical mode reconstruction of a light field via a photon-number resolved measurement

## TL;DR

This paper introduces a method for fully reconstructing the statistical mode structure and losses of multimode optical fields using joint photon-number measurements, enabling detailed quantum state analysis.

## Contribution

It presents a novel approach that reconstructs complete mode structure and losses from a single measurement, suitable for quantum mesoscopic state characterization.

## Key findings

- Achieved near-perfect reconstruction of up to 10 modes
- Successfully characterized an unknown bright parametric down-conversion source
- Demonstrated the method's ability to evaluate classical and non-classical properties

## Abstract

We present a method to reconstruct the complete statistical mode structure and optical losses of multimode conjugated optical fields using an experimentally measured joint photon-number probability distribution. We demonstrate that this method evaluates classical and non-classical properties using a single measurement technique and is well-suited for quantum mesoscopic state characterization. We obtain a nearly-perfect reconstruction of a field comprised of up to 10 modes based on a minimal set of assumptions. To show the utility of this method, we use it to reconstruct the mode structure of an unknown bright parametric down-conversion source.