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Numerical Exploration of the Pythagorean Theorem Using HOBO Algorithm

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2408.11076

Authors: Yasuda, Shoya, Mochida, Naoaki, Sotobayashi, Shunsuke, Garg, Devanshu, Minato, Yuichiro

Institution: Tokyo Institute of Technology

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405425469

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