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The use of $d$-level qudits instead of two-level qubits can largely increasethe power of quantum logic for many applications, ranging from quantumsimulations to quantum error correction. Molecular Nanomagnets are ideal spinsystems to realize these large-dimensional qudits. Indeed, their Hamiltoniancan be engineered to an unparalleled extent and can yield a spectrum with manylow-energy states. In particular, in the last decade intense theoretical,experimental and synthesis efforts have been devoted to develop quantumsimulators based on Molecular Nanomagnets. However, this remarkable potentialis practically unexpressed, because no quantum simulation has ever beenexperimentally demonstrated with these systems. Here we show the firstprototype quantum simulator based on an ensemble of molecular qudits and aradiofrequency broadband spectrometer. To demonstrate the operativity of thedevice, we have simulated quantum tunneling of the magnetization and thetransverse-field Ising model, representative of two different classes ofproblems. These results represent an important step towards the actual use ofmolecular spin qudits in quantum technologies.

Proof-of-concept Quantum Simulator based on Molecular Spin Qudits