核散射相移：量子处理器上的因子化几何时间 RODEO
Nuclear scattering phase shifts with factorized geometric-time RODEO on a quantum processor
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中文总结 AI 辅助
本研究在量子处理器上用因子化几何时间 RODEO 电路重建核散射相移，较直接 RODEO 显著降低电路深度和门数，提高拟合精度，展示了电路压缩对连续谱观测量的价值。
中文摘要 AI 辅助
我们利用压缩 RODEO 电路，在 IBM Aachen 上从束缚谱重建了弹性 s 波中子-质子（np）相移。对于由经典构造的四维有效哈密顿量表示的示意性方阱相互作用，五个阱强度下的四个正能量能级提供了二十个输入，用于经典修正有效距离展开（MERE）外推到自由空间。六周期因子化几何时间 RODEO 实现（FG-R6）结合了辅助比特复用、精确查询相位分离、编译后绑定以及六个数值优化的几何演化时间。数值循环计数测试支持在采用的局部谱容差内选择该方案。在相同的三量子比特宽度和相等的采样预算下，FG-R6 相对于十周期动态直接 RODEO（direct R10），将中位编译深度和双量子比特门数分别减少了 33.1% 和 37.2%，提高了中位拟合振幅，并将中位有限采样能量不确定性从 0.610 keV 降至 0.534 keV。对于该数据集在 0.1-30.0 MeV 网格上的主要拟合，最大中心相移与精确能量 MERE 的偏差从 0.842° 降至 0.163°，尽管均方根（RMS）束缚能量偏差更大。全网格增益主要出现在低能外推区域；在 10.0-30.0 MeV 共同能量插值子集上，direct R10 相对于同一参考的残差略小。FG-R6 中心曲线与解析方阱解的偏差至多为 0.156°。拟合形式敏感性仍然显著，并与有限采样不确定性分开评估。这一降维基准将 RODEO 电路压缩与核连续谱可观测量联系起来，并表明电路性能必须通过散射重建及其能量范围来评估，而非仅凭谱 RMS 误差。
英文摘要
We reconstruct elastic $s$-wave neutron-proton ($np$) phase shifts from trapped spectra measured on IBM Aachen using a compressed RODEO circuit. For a schematic square-well interaction represented by classically constructed four-dimensional effective Hamiltonians, four positive-energy levels at five trap strengths supply twenty inputs to classical modified effective range expansion (MERE) extrapolation to free space. The six-cycle factorized geometric-time RODEO implementation (FG-R6) combines ancilla reuse, exact query-phase separation, post-compilation binding, and six numerically optimized geometric evolution times. Numerical cycle-count tests support this choice within the adopted local spectral tolerances. At the same three-qubit width and equal shot budgets, FG-R6 reduces median compiled depth and two-qubit-gate count by 33.1% and 37.2% relative to ten-cycle dynamic direct RODEO (direct R10), increases the median fitted amplitude, and lowers median finite-shot energy uncertainty from 0.610 to 0.534 keV. For this dataset's primary fit on the 0.1-30.0 MeV grid, the maximum central phase-shift deviation from exact-energy MERE decreases from $0.842^\circ$ to $0.163^\circ$, despite a larger root-mean-square (RMS) trapped-energy deviation. The full-grid gain arises mainly in the low-energy extrapolation region; direct R10 has slightly smaller residuals relative to the same reference on the 10.0-30.0 MeV common energy-interpolation subset. The FG-R6 central curve differs from the analytical square-well solution by at most $0.156^\circ$. Fit-form sensitivity remains appreciable and is assessed separately from finite-shot uncertainty. This reduced-space benchmark connects RODEO circuit compression to nuclear continuum observables and shows why circuit performance must be assessed through the scattering reconstruction and its energy range, not spectral RMS errors alone.
发表机构
- Kyungpook National University（庆北国立大学）
- Soongsil University（崇实大学）
- Hanyang University（汉阳大学）
机构由 AI 辅助整理，请以论文原文为准。
