Resumen: The implementation of a universal quantum processor still poses fundamental issues related to error mitigation and correction, which demand investigation of also platforms and computing schemes alternative to the main stream. A possibility is offered by employing multilevel logical units (qudits), naturally provided by molecular spins. Here we present the blueprint of a molecular spin quantum processor consisting of single molecular nanomagnets, acting as qudits, placed within superconducting resonators adapted to the size and interactions of these molecules to achieve a strong single spin-to-photon coupling. We show how to implement a universal set of gates in such a platform and to readout the final qudit state. Single-qudit unitaries (potentially embedding multiple qubits) are implemented by fast classical drives, while an alternative scheme is introduced to obtain two-qubit gates via resonant photon exchange. The latter is compared to the dispersive approach, finding in general a significant improvement. The performance of the platform is assessed by realistic numerical simulations of gate sequences, such as Deutsch-Josza and quantum simulation algorithms. The very good results demonstrate the feasibility of the molecular route towards a universal quantum processor. Idioma: Inglés DOI: 10.1103/PhysRevApplied.19.064060 Año: 2023 Publicado en: Physical Review Applied 19, 6 (2023), 064060 [17 pp.] ISSN: 2331-7019 Financiación: info:eu-repo/grantAgreement/ES/DGA/E09-17R Q-MAD Financiación: info:eu-repo/grantAgreement/EC/H2020/862893/EU/Molecular spin qudits offering new hope for quantum computing/FATMOLS Financiación: info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-115221GB-C41 Financiación: info:eu-repo/grantAgreement/EUR/MICINN/TED2021-131447B-C21 Financiación: info:eu-repo/grantAgreement/EUR/MICINN/TED2021-131447B-C22 Tipo y forma: Artículo (Versión definitiva)