# Persistent homology analysis of multiqubit entanglement

## TL;DR

This paper presents a novel homology-based method to analyze and classify multiqubit entanglement by examining the persistence of topological features derived from bipartite entanglement measures.

## Contribution

It introduces a new topological approach using persistent homology to classify and analyze multiqubit entanglement states, providing a different perspective from traditional methods.

## Key findings

- New classification scheme for multiqubit entanglement
- Frequency analysis of entangled state classes
- Homology-based insights into entanglement structure

## Abstract

We introduce a homology-based technique for the analysis of multiqubit state vectors. In our approach, we associate state vectors to data sets by introducing a metric-like measure in terms of bipartite entanglement, and investigate the persistence of homologies at different scales. This leads to a novel classification of multiqubit entanglement. The relative occurrence frequency of various classes of entangled states is also shown.