A quantum neural network generates eigenvector-continuation basis states, and an iterative HHL routine solves the resulting generalized eigenvalue problem for the 4+ resonance of 9ΛBe.
Iterative Harrow-Hassidim-Lloyd quantum algorithm for solving resonances with eigenvector continuation
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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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Studying few cluster resonances with quantum neural network driven iterative Harrow-Hassidim-Lloyd algorithm
A quantum neural network generates eigenvector-continuation basis states, and an iterative HHL routine solves the resulting generalized eigenvalue problem for the 4+ resonance of 9ΛBe.