Coherent control of an NV− center in diamond with adjacent carbon 13C

With its long coherence times and comparatively simple optical accessibility, already the `bare´ NV^- center has an interesting potential in quantum computing related applications. Although a number of experiments have already been conducted using NV centers with one or more ¹³C nearby, fidelities achieved are limited not only by experimental inaccuracies but a lack of theoretical understanding of the system dynamics. We seek to redress this by fully modeling the NVC systems behaviour in the ground state manifold, including all hyperfine interactions (between N and V as well as C and V) and dissipation.