AI 中文总结
本研究提出辅助比特循环利用的rodeo滤波方法，将中子-质子散射模拟所需活动量子比特从12个降至3个，在保持滤波效果的同时节省空间资源，也带来延迟与可重复性方面的权衡。
AI 中文摘要
Rodeo滤波（牛仔竞技滤波）采用R次辅助比特辅助的能量探测。若所有测量均被推迟，静态实现需要ns+R个活动量子比特来处理ns量子比特的系统；而电路中测量与重置技术允许单个辅助比特被循环利用，在不改变理想滤波器的前提下将宽度降至ns+1。我们针对用于模拟中子-质子散射的俘获谱输入，演示了这种压缩效果。在IonQ Forte-1上运行的R=10静态电路使用了12个活动量子比特，而在IBM Aachen上运行的动态电路仅使用3个，减少了75%。受控交错式IBM扫描得到ΔEc=-0.017±0.507 keV，与静态结果-0.568±0.694 keV相当。通过有限约束修正有效程展开（MERE）映射这些中心值，得到IonQ的K_{3.7}=p cotδ_{0,3.7}=0.13419±0.00020 fm⁻¹，交错式IBM扫描的结果为0.13435±0.00015 fm⁻¹，二者均与精确值0.13436 fm⁻¹一致。两种实现都保留了完整的四组态支持，因此通过基于样本的量子对角化重现了精确的4×4有效空间能级。不过，三批IBM实验暴露了超出有限采样波动的运行相关中心值变化，而后选择衰减则更为稳定。因此，辅助比特循环利用使rodeo宽度与R无关，在保留有限约束散射输入的同时，为核寄存器释放了量子比特，但代价是将空间资源置换为电路中延迟与可重复性要求。
英文摘要
Rodeo filtering applies \(R\) ancilla-assisted energy interrogations. If all measurements are deferred, a static realization requires \(n_s+R\) active qubits for an \(n_s\)-qubit system, whereas mid-circuit measurement and reset allow one ancilla to be recycled and reduce the width to \(n_s+1\) without changing the ideal filter. We demonstrate this compression for a trapped-spectrum input to model neutron--proton scattering. A static \(R=10\) circuit on IonQ Forte-1 uses 12 active qubits, while a dynamic circuit on IBM Aachen uses only three, a 75\% reduction. The controlled interleaved IBM scan gives \(ΔE_c=-0.017\pm0.507\keV\), comparable to the static result \(-0.568\pm0.694\keV\). Mapping these centers through the finite-confinement modified effective range expansion (MERE) gives \(\mathcal K_{3.7}=p\cotδ_{0,3.7} =0.13419\pm0.00020~\mathrm{fm}^{-1}\) for IonQ and \(0.13435\pm0.00015~\mathrm{fm}^{-1}\) for the interleaved IBM scan, both consistent with the exact value \(0.13436~\mathrm{fm}^{-1}\). Both implementations retain complete four-configuration support and therefore reproduce the exact \(4\times4\) effective-space level by sample-based quantum diagonalization. Three IBM batches nevertheless expose run-dependent center variations beyond finite-shot fluctuations, while the postselection attenuation is more stable. Ancilla recycling therefore makes the rodeo width independent of \(R\), freeing qubits for the nuclear register while preserving a finite-confinement scattering input, but exchanges spatial resources for mid-circuit latency and repeatability requirements.
Comments14 pages, 5 figures
