  In this article we investigate the dynamics of a single negatively charged
nitrogen-vacancy center (NV-) coupled to the spin of the nucleus of a
15-nitrogen atom and show that high fidelity gate operations are possible
without the need for complicated composite pulse sequences. These operations
include both the electron and nuclear spin rotations, as well as an entangling
gate between them. These are experimentally realizable gates with current
technology of sufficiently high fidelities that they can be used to build graph
states for quantum information processing tasks.
