Coherent Control of an NV- center and a nearby 13C nuclear spin

In this work, we numerically investigated the achievable fidelities when controlling an effective three-qubit system consisting of a NV- color center in diamond with a nearby strongly coupled 13C nuclear spin by means of microwave- and radio-frequency pulses in the experimentally attractive low magnetic field regime. We find that gates with straightforward square driving pulses do not achieve the fidelity currently required for the fault-tolerant quantum computing models.