Figure 2 | Scientific Reports

Figure 2

From: Algorithmic decomposition for efficient multiple nuclear spin detection in diamond

Figure 2

Algorithm execution with virtual CPMG data. (a) Simulated dynamical decoupling signal with ten nuclear spins.Ā The hyperfine interaction tensor components of each nuclear spin were randomly generated. (b) Decomposition of the coherence dip with Gaussians by partitioning algorithm. Decomposed Gaussians are plotted with different colors depending on their amplitude. (c) The position of the coherence dips \(\Delta \tau\) as a function of k. Each point indicates a single dip extracted by Gaussian decomposition in the CPMG signal. The symbols represent the amplitude of the Gaussian used to fit each dip (For the Gaussian amplitude a, red asterisk: \(a \ge 0.5\); blue circle: \(0.3 \le a < 0.5\); black cross: \(0.15 \le a < 0.3\); dots: \(a < 0.15\)). The colors of each marker correspond with the colors of decomposed Gaussians in (b). Lines are guides for the eye to group the points originating from the same nuclear spin. All ten nuclear spins used to generate the CPMG signal were detected. (d) Comparison of the generated data and the signal reconstructed from the detected spin parameters. The error of the hyperfine interaction tensor components of each nuclear spin is less than 5%.

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