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 $\ket{00}=\nu_e$, $\ket{01}=\nu_\mu$, $\ket{10}=\nu_\tau$ with the $\ket{11}$ channel kept inert, and the input mixing parameters (NuFIT~5.3, normal ordering) follow the global fit. We verify three physical settings against analytic or exact references: vacuum propagation, reproduced by a mass-eigenstate phase circuit to $\sim 10^{-16}$; constant-density Mikheev--Smirnov--Wolfenstein (MSW) matter effects, showing resonant flavor conversion when the matter potential $A$ crosses $\Delta m^2_{31}$; and varying-density (supernova shock-shell) propagation by slicing plus second-order Suzuki--Trotter splitting, agreeing with exact evolution to $\sim 10^{-6}$. 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.

arXiv:2609.30875 [quant-ph]

(or arXiv:2609.30875v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.30875 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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