Geometric Information in Quantum Algorithms

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Geometric information, a fundamental concept in geometry, offers a novel perspective for enhancing quantum algorithms. This paper explores the potential of integrating geometric information into quantum algorithms, focusing on the design of a quantum algorithm specifically optimized for leveraging geometric structures. We present a new approach that utilizes geometric information to improve both the efficiency and reliability of quantum computations. The core mechanism centers on embedding geometric structures within the algorithm's structure, facilitating information transfer and computation in a more structured and predictable manner. This approach addresses a longstanding challenge in quantum algorithm design, promising significant improvements in performance and robustness.

DOI: 10.5281/zenodo.22328478

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