Quantum Computing with Molecular Magnets

Abstract

We propose the implementation of Grover's algorithm with molecular magnets with spin s>>1 in a unary representation. We show by means of time-dependent high-order perturbation theory that the desired superposition of spin states can be generated by a pulse of coherent magnetic radiation of different frequencies in the nonlinear multiphoton regime involving sigma and pi photons. The Grover algorithm can be performed by a single universal magnetic pulse. The subsequent read-out can be achieved by means of pulsed ESR techniques exploiting the non-equidistant energy levels in the magnet. We illustrate the feasibility of our proposal with the molecular magnets Fe8 and Mn12.