Multiparameter Quantum Estimation and Degeneracy Structure in Three-Flavor Neutrino Oscillations

This work investigates three-flavor neutrino oscillations using quantum estimation theory via the Quantum Fisher Information Matrix (QFIM) for parameters like $\theta_{23}$, $\delta_{CP}$, and $\Delta m^2_{31}$. The research shows that parameter degeneracies in oscillation probabilities do not mean the underlying quantum states are identical, as QFIM analysis reveals distinct quantum characteristics.

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