# Quantifications for multi-mode entanglement

## TL;DR

This paper introduces two new measures for quantifying 3-mode and 4-mode entanglement, explores their conversion from single-mode nonclassicality in beam-splitters, and demonstrates their generalizability to other multi-mode entanglement scenarios.

## Contribution

It presents two independent quantifications for multi-mode entanglement and shows their parallel behavior, with methods extendable to any multi-mode entanglement.

## Key findings

- Parallel behavior of the two quantifications observed
- Conversion of single-mode nonclassicality into multi-mode entanglement demonstrated
- Methods can be generalized to other multi-mode entanglement quantifications

## Abstract

We introduce two independent quantifications for 3-mode and 4-mode entanglement. We investigate the conversion of one type of nonclassicality, i.e. single-mode nonclassicality, into another type of nonclassicality, i.e. multi-mode entanglement, in beam-splitters. We observe parallel behavior of the two quantifications. The methods can be generalized to the quantification of any multi-mode entanglement.