发表机构
School of Mathematical Sciences, Shanghai Jiao Tong University（上海交通大学数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在双量子比特电路上模拟三味中微子振荡，验证真空、物质及变密度传播，并校准Trotter精度，计算纠缠与CP不对称，连接振荡物理与量子信息。
AI 中文摘要
我们在双量子比特量子电路上模拟三味中微子振荡。味空间嵌入为$\nket{00}=\nu_e$，$\ket{01}=\nu_\mu$，$\ket{10}=\nu_\tau$，$\ket{11}$通道保持惰性，输入混合参数（NuFIT~5.3，正常质量排序）遵循全局拟合。我们针对解析或精确参考验证了三种物理设置：真空传播，由质量本征态相位电路复现至$\sim 10^{-16}$精度；恒定密度Mikheev--Smirnov--Wolfenstein（MSW）物质效应，当物质势$A$穿越$\Delta m^2_{31}$时显示共振味转换；以及变密度（超新星激波壳层）传播，通过切片和二阶Suzuki--Trotter分裂实现，与精确演化一致至$\sim 10^{-6}$。我们报告了Suzuki--Trotter精度-资源校准，变化阶数、步数和矩阵/概率误差。它界定了太阳基线上的暴力Trotter化：我们量化了两种标准替代方案，相干平均和绝热MSW。我们还从相同模型参数计算量子信息诊断，即模式纠缠和CP不对称性。最后，我们通过包含退相和吸收通道的Lindblad主方程将框架扩展到开放量子系统。这些结果为低能振荡可观测量与量子信息度量之间提供了可复现的联系。
英文摘要
We simulate three-flavor neutrino oscillations on two-qubit quantum circuits. The flavor space is embedded as $\ket{00}=ν_e$, $\ket{01}=ν_μ$, $\ket{10}=ν_τ$ with the $\ket{11}$ 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 $\sim 10^{-16}$; 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 $\sim 10^{-6}$ and total accuracy $\sim 10^{-4}$ 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.
Comments18 pages, 10 figures
