Fig. 3: The high gain regime.
From: Quantum-enhanced interferometry with large heralded photon-number states
a \({\tilde{{\mathcal{F}}}}_{{h}_{1},{h}_{2}}(\phi )\) of 8-photon probes (N = 8) parameterized by Δ = ∣h1 − h2∣. Curves are calculated using the data and Eqs. (2) and (3) without post-selection. Probes with a larger Δ have a larger \({\tilde{{\mathcal{F}}}}_{{h}_{1},{h}_{2}}(\phi )\) and hence greater phase sensitivity due to their increased robustness to loss. Line thicknesses show 1σ confidence intervals obtained by fitting 50 simulated data sets that are calculated with a Monte Carlo method. b, c Show a subset of rates for the probe with Δ = 8 and Δ = 0, respectively. Error bars are one standard deviation assuming Poissonian counting statistics. The lines are a model fitted to \({{\rm{pr}}}_{{s}_{1},{s}_{2},{h}_{1},{h}_{2}}(\phi )\).
