QDMin: Coherent Quantum Minimum Finding for Nuclear Deformation Landscapes
Abstract
Locating the minimum of a nuclear collective landscape can require many interacting many-body calculations. QDMin (Quantum Deformation Minimum Finding) searches a parameterized Hamiltonian family with a coherent collective-coordinate register and an on-demand ground-energy threshold oracle. The oracle supplies the predicate required for quantum minimum-finding without first constructing the energy landscape point by point. We implement it for a schematic pairing-plus-multipole model using circuit-generated energy estimates during the search. In a four-point calculation, one Grover round raises the probability of the true minimum from 0.25 to 0.921. A 4×4 quadrupole--octupole-field calculation extends the complete circuit to two coordinates, although its minimum is first sampled in a round with zero Grover iterations. Its worst-case branch-preparation fidelity of 0.744 falls below the declared target, identifying coherent ground-state access as the current bottleneck. QDMin inherits expected O(√(Nq)) candidate-query scaling in the unstructured model; total advantage depends on the many-body oracle cost and remains unestablished.
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BibTeX
@misc{abhishek2026qdmin,
title = {{QDMin: Coherent Quantum Minimum Finding for Nuclear Deformation Landscapes}},
author = {Abhishek and P. Arumugam},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40320},
eprint = {2610.40320},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40320},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - QDMin: Coherent Quantum Minimum Finding for Nuclear Deformation Landscapes
AU - Abhishek
AU - P. Arumugam
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40320
UR - https://arxiv.org/abs/2610.40320
AB - Locating the minimum of a nuclear collective landscape can require many interacting many-body calculations. QDMin (Quantum Deformation Minimum Finding) searches a parameterized Hamiltonian family with a coherent collective-coordinate register and an on-demand ground-energy threshold oracle. The oracle supplies the predicate required for quantum minimum-finding without first constructing the energy landscape point by point. We implement it for a schematic pairing-plus-multipole model using circuit-generated energy estimates during the search. In a four-point calculation, one Grover round raises the probability of the true minimum from 0.25 to 0.921. A 4×4 quadrupole--octupole-field calculation extends the complete circuit to two coordinates, although its minimum is first sampled in a round with zero Grover iterations. Its worst-case branch-preparation fidelity of 0.744 falls below the declared target, identifying coherent ground-state access as the current bottleneck. QDMin inherits expected O(√(N_q)) candidate-query scaling in the unstructured model; total advantage depends on the many-body oracle cost and remains unestablished.
ER -