Symmetric hypergraph states: Entanglement quantification and robust Bell nonlocality

TL;DR

This paper analyzes symmetric hypergraph states, quantifies their entanglement and nonlocality, and demonstrates their strong violation of local realism and robustness to particle loss, advancing understanding of complex quantum correlations.

Contribution

It introduces a method to quantify entanglement in symmetric hypergraph states and links it to their stabilizers, revealing their nonlocal properties and robustness.

Findings

Exponential violation of local realism for many hypergraph states

Robustness of nonlocality against particle loss

Connection between entanglement measure and stabilizers

Abstract

Quantum hypergraph states are the natural generalization of graph states. Here we investigate and analytically quantify entanglement and nonlocality for large classes of quantum hypergraph states. More specifically, we connect the geometric measure of entanglement of symmetric hypergraphs to their local Pauli stabilizers. As a result we recognize the resemblance between symmetric graph states and symmetric hypergraph states, which explains both, exponentially increasing violation of local realism for infinitely many classes of hypergraph states and its robustness towards particle loss.