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

TL;DR

This paper introduces a new quantum algorithm combining iterative HHL and eigenvector continuation with complex scaling to compute nuclear resonances, demonstrating promising results for non-Hermitian eigenvalue problems.

Contribution

It presents a novel quantum algorithm for nuclear resonance calculations that integrates iterative HHL and eigenvector continuation, advancing quantum approaches in nuclear physics.

Findings

Achieved good agreement with traditional methods for alpha-alpha resonant states.

Demonstrated the algorithm's potential for non-Hermitian eigenvalue problems.

Laid groundwork for future quantum computing applications in nuclear resonance studies.

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.