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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2602.05221 |
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| _version_ | 1866908814214692864 |
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| author | Yadav, Bhavna Subba, Amir Shi, Yu |
| author_facet | Yadav, Bhavna Subba, Amir Shi, Yu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05221 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Fisher Information Revealing Parameter Sensitivity in Long-Baseline Neutrino Experiments Yadav, Bhavna Subba, Amir Shi, Yu High Energy Physics - Phenomenology Quantum Physics 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. |
| title | Quantum Fisher Information Revealing Parameter Sensitivity in Long-Baseline Neutrino Experiments |
| topic | High Energy Physics - Phenomenology Quantum Physics |
| url | https://arxiv.org/abs/2602.05221 |