Entanglement and non-locality of four-qubit connected hypergraph states

TL;DR

This paper investigates the entanglement and non-locality properties of four-qubit hypergraph states, classifies their SLOCC types, demonstrates their non-local behavior via Mermin's inequalities, and experimentally tests some inequalities on IBM Quantum.

Contribution

It provides a classification of four-qubit hypergraph states and experimentally verifies their non-locality using IBM Quantum hardware.

Findings

All four-qubit hypergraph states exhibit non-local behavior.

The SLOCC classification is derived from LU-orbits.

Experimental implementation confirms non-locality inequalities.

Abstract

We study entanglement and non-locality of connected four-qubit hypergraph states. One obtains the SLOCC classification from the known LU-orbits. We then consider Mermin's polynomials and show that all four-qubit hypergraph states exhibit non-local behavior. Finally, we implement some of the corresponding inequalities on the IBM Quantum Experience.