Quantum-circuit simulation of three-flavor neutrino oscillations: vacuum, matter, and CP diagnostics
Abstract
We simulate three-flavor neutrino oscillations on two-qubit quantum circuits. The flavor space is embedded as ket00=νe, ket01=νμ, ket10=ντ with the ket11 channel kept inert, and the input mixing parameters (NuFIT~5.3, normal ordering, with SK-atm) follow the global fit. We verify three physical settings against analytic or exact references: vacuum propagation, reproduced by a mass-eigenstate phase circuit to ∼ 10−16; constant-density Mikheev--Smirnov--Wolfenstein (MSW) matter effects, showing resonant flavor conversion when the matter potential A crosses Δm231; and varying-density (supernova shock-shell) propagation by slicing plus second-order Suzuki--Trotter splitting, with per-slice Trotter error ∼ 10−6 and total accuracy ∼ 10−4 against the continuous profile. We report a Suzuki--Trotter precision--resource calibration varying order, step number, and matrix/probability error. It delimits brute-force Trotterization on solar baselines: we quantify both standard alternatives, coherence averaging and adiabatic MSW. We also compute quantum-information diagnostics from the same model parameters, namely mode entanglement and the CP asymmetry. Finally, we extend the framework to open quantum systems via a Lindblad master equation with dephasing and absorptive channels. These results provide a reproducible link between low-energy oscillation observables and quantum-information measures.
Related
- Topological Diagnostics of CP Degeneracies in Long-Baseline Neutrino Oscillations with Non-Standard Interactions via Pancharatnam Open-Path Phases
- Quantum field-theoretical description of solar neutrino oscillations
- CP asymmetry and visible decay in 3+1 neutrino oscillations on a quantum computer
- Probing Quantum Foundations in Long-Baseline Neutrino Oscillations: Wave Packet Approach from MINOS Data to DUNE Predictions
- Influence of quantum decoherence on the survival of quantumness in neutrino oscillations
BibTeX
@misc{li2026quantumcircuit,
title = {{Quantum-circuit simulation of three-flavor neutrino oscillations: vacuum, matter, and CP diagnostics}},
author = {Daming Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.30875},
eprint = {2609.30875},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30875},
}
RIS
TY - UNPB
TI - Quantum-circuit simulation of three-flavor neutrino oscillations: vacuum, matter, and CP diagnostics
AU - Daming Li
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2609.30875
UR - https://arxiv.org/abs/2609.30875
AB - We simulate three-flavor neutrino oscillations on two-qubit quantum circuits. The flavor space is embedded as ket00=ν_e, ket01=ν_μ, ket10=ν_τ with the ket11 channel kept inert, and the input mixing parameters (NuFIT~5.3, normal ordering, with SK-atm) follow the global fit. We verify three physical settings against analytic or exact references: vacuum propagation, reproduced by a mass-eigenstate phase circuit to ∼ 10^−16; constant-density Mikheev--Smirnov--Wolfenstein (MSW) matter effects, showing resonant flavor conversion when the matter potential A crosses Δm^2_31; and varying-density (supernova shock-shell) propagation by slicing plus second-order Suzuki--Trotter splitting, with per-slice Trotter error ∼ 10^−6 and total accuracy ∼ 10^−4 against the continuous profile. We report a Suzuki--Trotter precision--resource calibration varying order, step number, and matrix/probability error. It delimits brute-force Trotterization on solar baselines: we quantify both standard alternatives, coherence averaging and adiabatic MSW. We also compute quantum-information diagnostics from the same model parameters, namely mode entanglement and the CP asymmetry. Finally, we extend the framework to open quantum systems via a Lindblad master equation with dephasing and absorptive channels. These results provide a reproducible link between low-energy oscillation observables and quantum-information measures.
ER -