Figure 3
From: Efficient route to high-bandwidth nanoscale magnetometry using single spins in diamond
(a) Precision scaling (
) of phase estimation via compressive sensing (CS) vs. total time resources (T). The black line indicates the Heisenberg limit (1/T). Red dots indicate the Shot-Noise limit (
) given by the standard measurement. The numerical data is fitted to ≈ 1/T (blue line) showing that CS can provide for Heisenberg-like scaling. The overhead is set by the tolerance in the l1-norm minimization. Precision gain over standard measurement using compressive sensing is maximal for k = 7. (b) Dependence of sensitivity (δB) vs. maximal frequency over magnetic field (1/τ0) for the standard measurement (black rombos) as compared to CS approach (red dots). The area between the curves indicates the gain in sensitivity over dynamic range, showing a 5-fold increase with respect to standard measurements.
