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Diffusion noise represents a major constraint to successful liquid statenano-NMR spectroscopy. Using the Fisher information as a faithful measure, wetheoretically calculate and experimentally show that phase sensitive protocolsare superior in most experimental scenarios, as they maximize informationextraction from correlations in the sample. We derive the optimal experimentalparameters for quantum heterodyne detection (Qdyne) and present the mostaccurate statistically polarized nano-NMR Qdyne detection experiments to date,leading the way to resolve chemical shifts and $J$ couplings at the nanoscale.

Optimal Sensing Protocol for Statistically Polarized Nano-NMR with NV Centers