High-Fidelity Entangling Gates for a Register based on a Nitrogen-Vacancy Center in Diamond

Motivated by the recent experimental progress in exploring the use of a nitrogen vacancy center in diamond as a quantum computing platform, we propose schemes for fast, high-fidelity entangling gates on this platform. Using both analytical and numerical calculations, we demonstrate that synchronization effects between resonant and off-resonant transitions may be exploited such that spin-flip errors due to strong driving may be eliminated by adjusting the gate time, the driving field, or the DC magnetic field. This allows for fast, high-fidelity entangling operations between the electron spin and one or several nuclear spins. These schemes have been predicted theoretically and demonstrated experimentally for operations in semiconductor quantum dots, and we show their applicability to state-of-the-art protocols for conditionally driving either the electron spin or the nuclear spins using DDRF techniques.