Molecular spin qudits to test generalized Bell inequalities

We show that Yb(trensal) molecular nanomagnet, embedding an electronic spin qubit coupled to a nuclear spin qudit, provides an ideal platform to probe entanglement in a qubit-qudit system.This is demonstrated by developing an optimized pulse sequence to show violation of generalized Bell inequalities and by performing realistic numerical simulations including experimentally measured decoherence. We find that the inequalities are safely violated in a wide range of parameters, proving the robustness of entanglement in the investigated system. Furthermore, we propose a scheme to study qudit-qudit entanglement on a molecular spin trimer, in which two spins 3/2 are linked via an interposed switch to turn on and off their mutual interaction.