# Genuine multipartite indistinguishability and its detection via generalized Hong-Ou-Mandel effect

## TL;DR

This paper introduces a method to identify and measure genuine multipartite indistinguishability in particles, extending the concept beyond traditional bosonic and fermionic symmetries using a generalized Hong-Ou-Mandel effect.

## Contribution

It proposes a new experimental approach and a measure for detecting genuine multipartite indistinguishability, advancing understanding of complex quantum symmetries.

## Key findings

- Method for identifying multipartite symmetries
- Proposed measure for indistinguishability
- Extension of Hong-Ou-Mandel effect to complex symmetries

## Abstract

The question whether two indistinguishable particles are bosons or fermions can be answered by observing the Hong-Ou-Mandel effect on a beam splitter. However, already for three particles one can consider symmetries that are neither bosonic nor fermionic. In this work, we describe a simple method of identifying them experimentally and propose a measure of a genuine multipartite indistinguishability.