  Diffusion broadening of spectral lines is the main limitation to frequency
resolution in non-polarized liquid state nano-NMR. This problem arises from the
limited amount of information that can be extracted from the signal before
losing coherence. For liquid state NMR as with most generic sensing
experiments, the signal is thought to decay exponentially, severely limiting
resolution. However, there is theoretical evidence that predicts a power law
decay of the signal's correlations due to diffusion noise in the non-polarized
nano-NMR scenario. In this work we show that in the NV based nano-NMR setup
such diffusion noise results in high spectral resolution.
