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arXiv · 2408.11076

Numerical Exploration of the Pythagorean Theorem Using HOBO Algorithm

Shoya Yasuda·Naoaki Mochida·Shunsuke Sotobayashi·Devanshu Garg·Yuichiro Minato
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Abstract

This paper introduces a novel method for finding integer sets that satisfy the Pythagorean theorem by leveraging the Higher-Order Binary Optimization (HOBO) formulation. Unlike the Quadratic Unconstrained Binary Optimization (QUBO) formulation, which struggles to express complex mathematical equations, HOBO's ability to model higher-order interactions between binary variables makes it well-suited for addressing more complex and expressive problem settings.

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Shoya Yasuda, Naoaki Mochida, Shunsuke Sotobayashi, Devanshu Garg, Yuichiro Minato. 2024-08-19. Numerical Exploration of the Pythagorean Theorem Using HOBO Algorithm. https://arxiv.org/abs/2408.11076

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