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arXiv · 2506.20929

Iterative Harrow-Hassidim-Lloyd quantum algorithm for solving resonances with eigenvector continuation

Hantao Zhang·Dong Bai·Zhongzhou Ren
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Abstract

We propose a novel quantum algorithm for solving nuclear resonances, which is based on the iterative Harrow-Hassidim-Lloyd algorithm and eigenvector continuation with complex scaling. To validate this approach, we compute the resonant states of $\alpha-\alpha$ system and achieve results in good agreement with traditional methods. Our study offers a new perspective on calculating eigenvalues of non-Hermitian operators and lays some groundwork for further exploration of nuclear resonances using quantum computing.

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Hantao Zhang, Dong Bai, Zhongzhou Ren. 2025-06-26. Iterative Harrow-Hassidim-Lloyd quantum algorithm for solving resonances with eigenvector continuation. https://arxiv.org/abs/2506.20929

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