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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2506.18059 |
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| _version_ | 1866917224214691840 |
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| author | Roy, Dhritimalya Nag, Somnath |
| author_facet | Roy, Dhritimalya Nag, Somnath |
| contents | Quantum variational algorithms (QVAs) are increasingly potent tools for simulating quantum many-body systems on noisy intermediate-scale quantum (NISQ) devices. This work examines the application of the Variational Quantum Eigensolver (VQE) to four progressively complex models based on the cranked Nilsson-Strutinsky (CNS) framework. By incorporating single-particle spacings, pairing correlations, and rotational cranking terms, we evaluate VQE performance against exact diagonalization (ED) benchmarks. Our results demonstrate that while simpler models achieve high precision (errors $<0.005$), the transition to 8-spin-orbital Hamiltonians reveals significant scaling and optimization challenges. Notably, we show that Model IV, which employs a more expressive RealAmplitudes ansatz, successfully captures the qualitative physics of rotational alignment and reduces energy deviations compared to intermediate benchmarks. These results establish a systematic methodological baseline, identifying the breaking points of hardware-efficient ansatz while validating the potential of QVAs to model the complex competition between pairing and rotation in deformed nuclei. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards Quantum Simulation of Rotating Nuclei using Quantum Variational Algorithms Roy, Dhritimalya Nag, Somnath Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment Quantum Physics Quantum variational algorithms (QVAs) are increasingly potent tools for simulating quantum many-body systems on noisy intermediate-scale quantum (NISQ) devices. This work examines the application of the Variational Quantum Eigensolver (VQE) to four progressively complex models based on the cranked Nilsson-Strutinsky (CNS) framework. By incorporating single-particle spacings, pairing correlations, and rotational cranking terms, we evaluate VQE performance against exact diagonalization (ED) benchmarks. Our results demonstrate that while simpler models achieve high precision (errors $<0.005$), the transition to 8-spin-orbital Hamiltonians reveals significant scaling and optimization challenges. Notably, we show that Model IV, which employs a more expressive RealAmplitudes ansatz, successfully captures the qualitative physics of rotational alignment and reduces energy deviations compared to intermediate benchmarks. These results establish a systematic methodological baseline, identifying the breaking points of hardware-efficient ansatz while validating the potential of QVAs to model the complex competition between pairing and rotation in deformed nuclei. |
| title | Towards Quantum Simulation of Rotating Nuclei using Quantum Variational Algorithms |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment Quantum Physics |
| url | https://arxiv.org/abs/2506.18059 |