# Entanglement Classification of Four-partite States under the SLOCC

## TL;DR

This paper introduces a practical classification scheme for four-partite entangled states under SLOCC by reducing the problem to classifying tripartite and bipartite entanglements, simplifying the process and providing subsystem insights.

## Contribution

It proposes a novel reduction method transforming four-partite states into a set of tripartite and bipartite states for easier entanglement classification.

## Key findings

- Reduction involves only linear constraints
- Provides insights into subsystem entanglement character
- Simplifies classification process

## Abstract

We present a practical classification scheme for the four-partite entangled states under stochastic local operations and classical communication (SLOCC). By transforming a four-partite state into a triple-state set composed of two tripartite and one bipartite states, the entanglement classification is reduced to the classification of tripartite and bipartite entanglements. This reduction method has the merit of involving only the linear constrains, and meanwhile providing an insight into the entanglement character of the subsystems.