Hyper- and hybrid nonlocality

TL;DR

This paper introduces a scheme combining hyperentanglement and hybrid entanglement to generate strong quantum correlations across multiple degrees of freedom, enhancing quantum information capabilities.

Contribution

It proposes a novel method to produce Bell nonlocality among spins and momenta, extending entanglement to the strongest quantum correlations.

Findings

Demonstrates how to generate Bell nonlocality in spins and momenta

Extends entanglement to hyper- and hybrid forms

Discusses experimental implementations with atoms and photons

Abstract

The controlled generation and identification of quantum correlations, usually encoded in either qubits or continuous degrees of freedom, builds the foundation of quantum information science. Recently, more sophisticated approaches, involving a combination of two distinct degrees of freedom have been proposed to improve on the traditional strategies. Hyperentanglement describes simultaneous entanglement in more than one distinct degree of freedom, whereas hybrid entanglement refers to entanglement shared between a discrete and a continuous degree of freedom. In this work we propose a scheme that allows to combine the two approaches, and to extend them to the strongest form of quantum correlations. Specifically, we show how two identical, initially separated particles can be manipulated to produce Bell nonlocality among their spins, among their momenta, as well as across their spins and momenta. We discuss possible experimental realizations with atomic and photonic systems.