Environment noise analysis and real-time decoupling feedback control for a Nitrogen-Vacancy center

Nitrogen-Vacancy (NV) centers in diamond have shown to be a very promising candidate for applications of quantum information processing. Given that a small percentage of the Carbon atoms in diamond are Carbon 13 isotopes, we consider how the collective nuclear spins of these atoms affect the nuclear spin state of the Nitrogen 15 atom of the NV center, which is used as our computational qubit. We accomplish this by isolating a three level lambda system out of the electronic structure of the NV center and observing the phenomenon of coherent population trapping. The information gained from this observation is used to find the optimum dynamical decoupling pulse sequence that will help us preserve the state of our computational qubit for a set duration of time.