Quantum Estimation under Decoherence in Neutrino Oscillations: Quantum Resources, Flavor Accessibility, and Multiparameter Incompatibility
Abstract
Neutrino oscillations offer an interferometric setting for open-system dynamics, quantum resources, and parameter estimation. We distinguish two often-conflated statistical families: propagation-basis dephasing uses a survival factor ηp to damp interference before flavor projection, changing flavor probabilities; effective flavor-mode dephasing suppresses only off-diagonal coherence of a single-particle, two-mode state while fixing its populations. For the two-flavor mode state, we derive exact concurrence, entanglement of formation, and local quantum uncertainty, and reduce one-sided projective discord to a one-parameter optimization. For 0<P<1 and 0<ηm<1, the QFIM in (P,χ,ηm) is diagonal, with ℋmodeχχ=Cηm2 and ℋmodeξmξm=Cηm2/(1−ηm2), where ξm=−lnηm. For propagation-basis dephasing, basis-matched QFI and flavor FI separate dynamical information loss from measurement inaccessibility for the mixing angle, mass-squared splitting, and dephasing rate. A monochromatic three-flavor benchmark evaluates the mixed-state QFIM, flavor FIM, and SLD incompatibility for (θ23,δCP,ξ31,g) at DUNE-like, T2HK-like, and ESSnuSB-inspired points. At Γ0=10−23 GeV, the fixed-coordinate ratio ℱflavδδ/ℋδδ is approximately $0.010$, $0.013$, and $0.105$, respectively; all three points show strong θ23--ξ31 incompatibility. A single-energy flavor measurement supplies only two independent probabilities, so its four-parameter FIM is rank deficient: these diagonal ratios are conditional diagnostics, not joint four-parameter sensitivities. These are state-level information-geometric benchmarks, not event-level sensitivity forecasts.
Related
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- When can decoherence reveal a Majorana phase? A phase-covariance no-go theorem for two-flavor neutrino oscillations
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- Response of Hellinger-distance based coherence to weak decoherence in two-flavor neutrino oscillations
- Influence of quantum decoherence on the survival of quantumness in neutrino oscillations
BibTeX
@misc{loulijat2026quantum,
title = {{Quantum Estimation under Decoherence in Neutrino Oscillations: Quantum Resources, Flavor Accessibility, and Multiparameter Incompatibility}},
author = {Jilali Loulijat and Abdallah Slaoui and Mohamed Gouighri and Berihu Teklu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36038},
eprint = {2609.36038},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36038},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Estimation under Decoherence in Neutrino Oscillations: Quantum Resources, Flavor Accessibility, and Multiparameter Incompatibility
AU - Jilali Loulijat
AU - Abdallah Slaoui
AU - Mohamed Gouighri
AU - Berihu Teklu
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.36038
UR - https://arxiv.org/abs/2609.36038
AB - Neutrino oscillations offer an interferometric setting for open-system dynamics, quantum resources, and parameter estimation. We distinguish two often-conflated statistical families: propagation-basis dephasing uses a survival factor η_p to damp interference before flavor projection, changing flavor probabilities; effective flavor-mode dephasing suppresses only off-diagonal coherence of a single-particle, two-mode state while fixing its populations. For the two-flavor mode state, we derive exact concurrence, entanglement of formation, and local quantum uncertainty, and reduce one-sided projective discord to a one-parameter optimization. For 0<P<1 and 0<η_m<1, the QFIM in (P,χ,η_m) is diagonal, with ℋ^mode_χχ=C_η_m^2 and ℋ^mode_ξ_mξ_m=C_η_m^2/(1−η_m^2), where ξ_m=−lnη_m. For propagation-basis dephasing, basis-matched QFI and flavor FI separate dynamical information loss from measurement inaccessibility for the mixing angle, mass-squared splitting, and dephasing rate. A monochromatic three-flavor benchmark evaluates the mixed-state QFIM, flavor FIM, and SLD incompatibility for (θ_23,δ_CP,ξ_31,g) at DUNE-like, T2HK-like, and ESSnuSB-inspired points. At Γ_0=10^−23 GeV, the fixed-coordinate ratio ℱ^flav_δδ/ℋ_δδ is approximately $0.010$, $0.013$, and $0.105$, respectively; all three points show strong θ_23--ξ_31 incompatibility. A single-energy flavor measurement supplies only two independent probabilities, so its four-parameter FIM is rank deficient: these diagonal ratios are conditional diagnostics, not joint four-parameter sensitivities. These are state-level information-geometric benchmarks, not event-level sensitivity forecasts.
ER -