High fidelity quantum gates for NV center defect registers based on dynamical decoupling sequences

The spinful nuclei surrounding a defect such as the NV center in diamond are promising qubits for a modest-size quantum register. Recent experimental advances demonstrated control of the nuclear spins through microwave manipulation of the NV spin via dynamical decoupling ‘CPMG’ sequences. Here we show that more complex dynamical decoupling sequences improve the nuclear spin operations, i.e., gate fidelity, applicability range, and nuclear spin selectivity. We numerically show the efficacy of our method on NV centers in diamond, but our results are general and applicable to other types of defects in solids.