标题： 求解共振的迭代Harrow-Hassidim-Lloyd量子算法与特征向量延续 显示英文标题

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

摘要： 我们提出了一种新的量子算法来解决核共振问题，该算法基于迭代的Harrow-Hassidim-Lloyd算法和带有复数缩放的特征向量延续。 为验证此方法，我们计算了$\alpha-\alpha$系统的共振态，并获得了与传统方法良好一致的结果。 我们的研究为计算非厄米算子的本征值提供了新的视角，并为使用量子计算进一步探索核共振奠定了基础。 显示英文摘要

摘要： 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.