Entanglement discrimination in multi-rail electron-hole currents

TL;DR

This paper introduces a quantum-Hall interferometer with a multi-rail encoding that can detect and quantify electron-hole entanglement, offering an alternative to Bell inequality-based methods.

Contribution

It presents a novel interferometer design that acts as an entanglement witness capable of discriminating and quantifying different types of electron-hole entanglement.

Findings

Successfully discriminates spatial-mode and occupancy entanglement.

Provides a feasible alternative to Bell inequality violation methods.

Enhances entanglement detection in quantum-Hall systems.

Abstract

We propose a quantum-Hall interfereometer that integrates an electron-hole entangler with an analyzer working as an entanglement witness by implementing a multi-rail encoding. The witness has the ability to discriminate (and quantify) spatial-mode and occupancy entanglement. This represents a feasible alternative to limited approaches based on the violation of Bell-like inequalities.