Quantum Fisher Information Revealing Parameter Sensitivity in Long-Baseline Neutrino Experiments

• URL: http://arxiv.org/abs/2602.05221v1
• Date: Thu, 05 Feb 2026 02:20:12 GMT
• Title: Quantum Fisher Information Revealing Parameter Sensitivity in Long-Baseline Neutrino Experiments
• Authors: Bhavna Yadav, Amir Subba, Yu Shi,
• Abstract summary: Determination of the leptonic CP-violating phase $_mathrmCP$, the atmospheric mixing angle $_23$, and the mass-squared difference $m_312$ constitutes a primary objective of current and next-generation long-baseline neutrino experiments.<n>We employ QFI (QFI) to establish fundamental precision bounds on single- parameter estimation in three-flavor $_to _e$ oscillations.
• Score: 3.060426151281043
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Determination of the leptonic CP-violating phase $δ_{\mathrm{CP}}$, the atmospheric mixing angle $θ_{23}$, and the mass-squared difference $Δm_{31}^{2}$ constitutes a primary objective of current and next-generation long-baseline neutrino experiments. We employ QFI (QFI) to establish fundamental precision bounds on single-parameter estimation in three-flavor $ν_μ\to ν_e$ oscillations, treating the neutrino as an evolving pure quantum state. Computing QFI as a function of the baseline-to-energy ratio $L/E$ for benchmark parameter sets from NuFit-6.0, we find distinct sensitivity hierarchies and $L/E$-dependent structures. Specifically, $δ_{\mathrm{CP}}$ and $θ_{23}$ exhibit bimodal QFI profiles with peaks at $L/E \sim 500$ and $1500~\mathrm{km/GeV}$, corresponding to the first and second oscillation maxima, reaching $F_Q(δ_{\mathrm{CP}}) \sim 0.15$ and $F_Q(θ_{23}) \sim 15$, respectively. In contrast, $Δm_{31}^{2}$ displays a unimodal structure peaking at $L/E \sim 1000$--$1200~\mathrm{km/GeV}$ with $F_Q(Δm_{31}^{2}) \sim 3 \times 10^{6}$, reflecting its role in setting the oscillation length scale.

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