# Coherent control of solid state nuclear spin nano-ensembles. (arXiv:1802.02921v1 [quant-ph])

Detecting and controlling nuclear spin nano-ensembles is crucial for the
further development of nuclear magnetic resonance (NMR) spectroscopy and for
the emerging solid state quantum technology. Here we present the fabrication of
a $\approx$ 1 nanometre thick diamond layer consisting of $^{13}$C nuclear
spins doped with Nitrogen-Vacancy centres (NV) embedded in a spin-free $^{12}$C
crystal matrix. A single NV in the vicinity of the layer is used for
polarization of the $^{13}$C spins and the readout of their magnetization. We
demonstrate a method for coherent control of few tens of nuclear spins by using
radio frequency pulses and show the basic coherent control experiments - Rabi
oscillations, Ramsey spectroscopy and Hahn echo, though any NMR pulse sequence
can be implemented. The results shown present a first steps towards the
realization of a nuclear spin based quantum simulator.