# Entanglement properties of quantum grid states

## TL;DR

This paper investigates the entanglement characteristics of quantum grid states, introducing graphical methods to evaluate their entanglement, and discovers bound entangled states and multiparticle entanglement examples, highlighting the complexity of their entanglement structure.

## Contribution

It provides a graphical framework for analyzing entanglement in grid states and identifies bound and multiparticle entangled states, revealing their complex entanglement properties.

## Key findings

- Identified bound entangled grid states in two-particle systems.
- Constructed multiparticle grid states demonstrating various types of genuine entanglement.
- Showed that entanglement theory for grid states is as complex as for general quantum states.

## Abstract

Grid states form a discrete set of mixed quantum states that can be described by graphs. We characterize the entanglement properties of these states and provide methods to evaluate entanglement criteria for grid states in a graphical way. With these ideas we find bound entangled grid states for two-particle systems of any dimension and multiparticle grid states that provide examples for the different aspects of genuine multiparticle entanglement. Our findings suggest that entanglement theory for grid states, although being a discrete set, has already a complexity similar to the one for general states.