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A good qubit must have a coherence time long enough for gate operations to beperformed. Avoided level crossings allow for clock transitions in whichcoherence is enhanced by the insensitivity of the transition to fluctuations inexternal fields. Because of this insensitivity, it is not obvious how toeffectively couple qubits together while retaining clock-transition behavior.Here we present a scheme for using a heterodimer of two coupled molecularnanomagnets, each with a clock transition at zero magnetic field, in which allof the gate operations needed to implement one- and two-qubit gates can beimplemented with pulsed radio-frequency radiation. We show that given realisticcoupling strengths between the nanomagnets in the dimer, good gate fidelities($\sim$99.4\%) can be achieved. We identify the primary sources of error inimplementing gates and discuss how these may be mitigated, and investigate therange of coherence times necessary for such a system to be a viable platformfor implementing quantum computing protocols.

Constructing Clock-Transition-Based Two-Qubit Gates from Dimers of Molecular Nanomagnets