# Quasiprobability distributions for quantum-optical coherence and beyond

## TL;DR

This paper reviews and advances the quasiprobability representation of quantum light, highlighting methods for visualization and analysis of quantum coherence, including regularization techniques and generalizations to broader quantum systems.

## Contribution

It introduces new approaches for visualizing quantum coherence using negative quasiprobability representations and discusses their experimental accessibility and generalization to quantum information science.

## Key findings

- Regularization methods enable experimental visualization of quantum states.
- Negative quasiprobabilities effectively characterize quantum superpositions.
- Generalized quasiprobability concepts apply to diverse quantum systems.

## Abstract

We study the quasiprobability representation of quantum light, as introduced by Glauber and Sudarshan, for the unified characterization of quantum phenomena. We begin with reviewing the past and current impact of this technique. Regularization and convolution methods are specifically considered since they are accessible in experiments. We further discuss more general quantum systems for which the concept of negative probabilities can be generalized, being highly relevant for quantum information science. For analyzing quantum superpositions, we apply recently developed approaches to visualize quantum coherence of states via negative quasiprobability representations, including regularized quasiprobabilities for light and more general quantum correlated systems.