发表机构
The University of Tennessee; Oak Ridge National Laboratory（田纳西大学; 橡树岭国家实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对致密中微子味演化的高成本问题，开发QCNO代码将中微子哈密顿量映射为TEBD2量子电路，重现N=30的多体演化并估计N=50的电路资源需求，为中微子快味转换的量子模拟提供协同设计方案。
AI 中文摘要
致密中微子的味演化是一个量子多体问题，随着粒子数和空间结构的增加，对其进行完全关联处理的成本会迅速升高。我们开发了QCNO量子模拟代码，该代码将包含平流和有限范围相互作用的非均匀前向散射中微子哈密顿量映射为TEBD2乘积公式量子电路，并在同一物理模型中关联了理想多体模拟、感知后端的执行以及容错资源估计。我们重现了N=30时被抑制的类平均场横向快味不稳定性的精确多体演化，表明即使是单个开边界相互作用也会产生Rényi纠缠和非稳定器魔力，尽管有噪声的后端仍会产生量级为0.1至0.3的极化RMSE。该问题受限的主动相互作用图使我们能够针对N=50的情况，估计适用于NISQ和容错方法的电路深度与T门成本。我们在基准理想模拟中测得的TEBD2误差量级为10^-3，这促使合成容差ε_syn约为10^-7，对应每个R_Z旋转约70个T门。生成的电路对于开边界每个量子比特包含1.4×10^4个T门（闭边界的两倍），这要求早期容错架构达到量级为10^-7的应用级逻辑T门误差目标。
英文摘要
Dense-neutrino flavor evolution is a quantum many-body problem whose fully correlated treatment becomes rapidly more expensive with increasing particle number and spatial structure. We develop a \texttt{QCNO} quantum simulation code that maps a inhomogeneous forward-scattering neutrino Hamiltonian with advection and finite-range interactions to TEBD2 product-formula quantum circuits, and connects ideal many-body simulation, backend-aware execution, and fault-tolerant resource estimation within the same physical model. We reproduce the exact many-body evolution of the suppressed mean-field-like transverse fast flavor instability through $N=30$ and show that even a single open-boundary interaction generates Rënyi entanglement and non-stabilizer magic, although noisy backends still produce polarization RMSEs of order $0.1$--$0.3$. The restricted active interaction graph of this problem allows us to estimate the circuit depth and $T$ gate cost through $N=50$ for both NISQ and fault-tolerant approaches. The measured TEBD2 error in our fiducial ideal simulation of order $10^{-3}$ motivates a synthesis tolerance $\varepsilon_{\rm syn}\sim10^{-7}$, corresponding to about $70$ $T$ gates per $R_Z$ rotation. The generated circuit contains $1.4\times10^4$ $T$ gates per qubit for open boundaries (twice that for closed boundaries), requiring an application-level logical-$T$ error target of order $10^{-7}$ for early fault-tolerant architectures.
Comments26 pages. 14 Figures. Applies to both the astrophysics and quantum computing field
