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Jan 20245 min read

Cost-function fits for NV-center hyperfine parameters

How we simulated NV-center dynamics and minimized a cost over measured traces to pin down hyperfine parameters.

quantum sensingNV center

At the IAS Center for Quantum Technologies, I simulated nitrogen-vacancy (NV) centers to estimate electron–nuclear hyperfine parameters. The goal was to support state-preparation work without spending weeks on calibration sweeps.

We treated the problem as a cost-function minimization: simulate the NV dynamics, compare candidate hyperfine parameters against measured traces, and search for the combinations that minimize amplitude and phase error.

Strong- and weak-coupling regimes behaved differently, so we split the search space and used separate priors to keep the optimization stable.

The result was a small set of Hamiltonians that matched the lab data within tolerance. Those fits fed into later state-preparation studies and gave us a starting point for further sensing experiments.