Speaker
Description
We investigate Quantum Fisher Information (QFI) as a measurement-independent measure of parameter sensitivity in three-flavor neutrino oscillations. Focusing on the $\nu_\mu \rightarrow \nu_e$ appearance channel, we evaluate the QFI for the leptonic CP-violating phase $\delta_{\rm CP}$, the atmospheric mixing angle $\theta_{23}$, and the atmospheric mass-squared difference $\Delta m_{31}^{2}$ as functions of the baseline-to-energy ratio ($L/E$) using the latest NuFit-6.0 global-fit parameters.
Our results reveal distinct sensitivity patterns for the three oscillation parameters. The QFI for $\delta_{\rm CP}$ and $\theta_{23}$ exhibits two maxima corresponding to the first and second oscillation maxima, whereas the QFI for $\Delta m_{31}^{2}$ shows a single broad maximum at intermediate $L/E$. The corresponding sensitivity hierarchy indicates that $\Delta m_{31}^{2}$ can be determined with the highest intrinsic precision, followed by $\theta_{23}$ and $\delta_{\rm CP}$. We further find that these QFI profiles are robust against current variations in the global-fit oscillation parameters.
Our study demonstrates that QFI provides a useful quantum-information framework for identifying the optimal $L/E$ regions for oscillation parameter estimation and for assessing the fundamental precision limits of current and future long-baseline neutrino experiments.