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arXiv · 2208.10470

Variational quantum iterative power algorithms for global optimization

Thi Ha Kyaw·Micheline B. Soley·Brandon Allen·Paul Bergold·Chong Sun·Victor S. Batista·Alán Aspuru-Guzik
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Abstract

We introduce a family of variational quantum algorithms called quantum iterative power algorithms (QIPA) that outperform existing hybrid near-term quantum algorithms of the same kind. We demonstrate the capabilities of QIPA as applied to three different global-optimization numerical experiments: the ground-state optimization of the $H_2$ molecular dissociation, search of the transmon qubit ground-state, and biprime factorization. Since our algorithm is hybrid, quantum/classical technologies such as error mitigation and adaptive variational ansatzes can easily be incorporated into the algorithm. Due to the shallow quantum circuit requirements, we anticipate large-scale implementation and adoption of the proposed algorithm across current major quantum hardware.

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Thi Ha Kyaw, Micheline B. Soley, Brandon Allen, Paul Bergold, Chong Sun, Victor S. Batista, Alán Aspuru-Guzik. 2022-08-22. Variational quantum iterative power algorithms for global optimization. https://doi.org/10.1088/2058-9565%2Facf4ba

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