Ubiquitous non-local entanglement with Majorana bound states

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.

published version, supplementary material included, 2 figures

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• Certified Quantum Measurement of Majorana Fermions
• Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes
• Topologically protected heat pumping from braiding Majorana zero modes
• A hierarchy in Majorana non-abelian tests and hidden variable models