# Ubiquitous non-local entanglement with Majorana bound states

## TL;DR

This paper demonstrates that all states in a 6-Majorana bound state system exhibit non-local entanglement, and proposes practical measurement methods for detecting CHSH inequality violations.

## Contribution

It reveals universal non-local entanglement in a minimal Majorana system and introduces feasible measurement protocols for CHSH violation detection.

## Key findings

- All allowed states are non-locally entangled.
- Measurement protocols for CHSH violation are feasible with current techniques.
- Non-local entanglement is ubiquitous in the 6-Majorana setup.

## Abstract

Entanglement in quantum mechanics contradicts local realism, and is a manifestation of quantum non-locality. Its presence can be detected through the violation of Bell, or CHSH inequalities. Paradigmatic quantum systems provide examples of both, non-entangled and entangled states. Here we consider a minimal complexity setup consisting of 6 Majorana bound states. We find that any allowed state in the degenerate Majorana space is non-locally entangled. We show how to measure (with available techniques) the CHSH-violating correlations, using either intermediate strength or weak measurement protocols.