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PreprintCC BY 4.0arXiv

Ancilla-recycled RODEO filtering for nuclear scattering: A cross-platform benchmark on quantum processors

Abstract

Quantum computation of trapped spectra for nuclear scattering requires resource-efficient circuits and reliable energy inputs. We present a cross-platform benchmark of ancilla-recycled RODEO filtering for a four-dimensional effective Hamiltonian describing a trapped neutron--proton model. Static circuits on IonQ Forte-1 and dynamic circuits on IBM Aachen implement the same ideal ten-cycle all-zero accepted filter using twelve and three active qubits, respectively. Mid-circuit measurement and reset reduce the active qubit count by 75\% while retaining all controlled evolutions. The interleaved IBM peak-center offset from the exact level is −0.017 ± 0.507 keV, compared with −0.568 ± 0.694 keV for IonQ (finite-shot bootstrap uncertainties). At ω=3.7 MeV, the modified effective range expansion maps both centers to finite-confinement scattering inputs consistent with the exact reference within propagated uncertainties. Three IBM batches exhibit center variations beyond finite-shot uncertainties (p=0.015), despite comparatively stable postselection amplitudes. Calibration-derived noisy simulations do not consistently reproduce the measured centers. Complete sampled support enables sample-based quantum diagonalization to recover the exact effective-space level, whereas larger-space simulator tests expose substantial errors from omitted configurations. The calculation validates one finite-confinement input, not a free-space phase shift. This benchmark provides a reusable circuit and validation protocol separating spectral precision, hardware repeatability, and sampled-subspace completeness for multilevel nuclear-scattering calculations.

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BibTeX
@misc{mun2026ancillarecycled,
  title = {{Ancilla-recycled RODEO filtering for nuclear scattering: A cross-platform benchmark on quantum processors}},
  author = {Myeong-Hwan Mun and Jubin Park and Myung-Ki Cheoun and Eunja Ha},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.26569},
  eprint = {2608.26569},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.26569},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Ancilla-recycled RODEO filtering for nuclear scattering: A cross-platform benchmark on quantum processors
AU  - Myeong-Hwan Mun
AU  - Jubin Park
AU  - Myung-Ki Cheoun
AU  - Eunja Ha
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2608.26569
UR  - https://arxiv.org/abs/2608.26569
AB  - Quantum computation of trapped spectra for nuclear scattering requires resource-efficient circuits and reliable energy inputs. We present a cross-platform benchmark of ancilla-recycled RODEO filtering for a four-dimensional effective Hamiltonian describing a trapped neutron--proton model. Static circuits on IonQ Forte-1 and dynamic circuits on IBM Aachen implement the same ideal ten-cycle all-zero accepted filter using twelve and three active qubits, respectively. Mid-circuit measurement and reset reduce the active qubit count by 75\% while retaining all controlled evolutions. The interleaved IBM peak-center offset from the exact level is −0.017 ± 0.507 keV, compared with −0.568 ± 0.694 keV for IonQ (finite-shot bootstrap uncertainties). At ω=3.7 MeV, the modified effective range expansion maps both centers to finite-confinement scattering inputs consistent with the exact reference within propagated uncertainties. Three IBM batches exhibit center variations beyond finite-shot uncertainties (p=0.015), despite comparatively stable postselection amplitudes. Calibration-derived noisy simulations do not consistently reproduce the measured centers. Complete sampled support enables sample-based quantum diagonalization to recover the exact effective-space level, whereas larger-space simulator tests expose substantial errors from omitted configurations. The calculation validates one finite-confinement input, not a free-space phase shift. This benchmark provides a reusable circuit and validation protocol separating spectral precision, hardware repeatability, and sampled-subspace completeness for multilevel nuclear-scattering calculations.
ER  -