Concurrence minima in neutrino oscillations identify low-entanglement energy regions that, when aligned with NOνA and T2K data, yield tighter joint constraints on sin²θ₂₃, δ_CP, and Δm²₃₁.
Quantum estimation in neutrino oscillations
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abstract
Neutrino oscillations are at the forefront of advances in Physics beyond the Standard Model. Increasing accuracy in measurements of the neutrino mixing matrix is an important challenge in current experiments. It depends on parameters that do not directly correspond to observables of the neutrino system. This type of estimation problem is handled by Quantum Estimation Theory (QET) via the Fisher Information (FI) and the Quantum Fisher Information (QFI). In this work, we analyze two-flavor neutrino oscillations within the framework of QET. We compute the QFI for the mixing angle $\theta$ and show that mass measurements are the ones that achieve optimal precision. We also study the FI associated with flavor measurements and show that they are optimized at specific neutrino times-of-flight. Therefore, although the usual population measurement does not realize the precision limit set by the QFI, it can in principle be implemented with the best possible sensitivity to $\theta $. We study how these quantifiers relate to the single-particle, mode entanglement. We demonstrate that this form of entanglement does not enhance neither of them. In particular, this shows that in single-particle settings, entanglement is not directly connected with the optimal precision in metrological tasks.
fields
hep-ph 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Quantum Fisher information matrix is derived for neutrino flavor states to obtain Cramér-Rao bounds on oscillation parameters for reactor and accelerator experiments.
The quantum Fisher information matrix applied to three-flavor neutrino oscillations reveals that probability degeneracies do not always imply quantum-state indistinguishability.
T2K and NOνA extract only a small fraction of the quantum information about δ_CP, with extraction efficiency particularly suppressed near maximal CP violation.
citing papers explorer
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Quantum Information as a New Lens for Precision Neutrino Physics
Concurrence minima in neutrino oscillations identify low-entanglement energy regions that, when aligned with NOνA and T2K data, yield tighter joint constraints on sin²θ₂₃, δ_CP, and Δm²₃₁.
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Revealing precision bounds on neutrino oscillation parameters with quantum estimation theory
Quantum Fisher information matrix is derived for neutrino flavor states to obtain Cramér-Rao bounds on oscillation parameters for reactor and accelerator experiments.
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Multiparameter Quantum Estimation and Degeneracy Structure in Three-Flavor Neutrino Oscillations
The quantum Fisher information matrix applied to three-flavor neutrino oscillations reveals that probability degeneracies do not always imply quantum-state indistinguishability.
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Leptonic CP Phase Determination from Fisher Information in NO$\nu$A and T2K
T2K and NOνA extract only a small fraction of the quantum information about δ_CP, with extraction efficiency particularly suppressed near maximal CP violation.