Geometric Information Theory Quantum Algorithm Design

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper explores the integration of geometric information theory (GIT) into quantum algorithm design, aiming to enhance efficiency and robustness. We propose a novel framework for optimizing quantum circuits by leveraging GIT's inherent geometric properties. The core mechanism involves a dynamic mapping approach, where the quantum circuit's evolution is guided by GIT's geometric constraints, leading to reduced computational complexity. We analyze the impact of this approach on various quantum algorithms, demonstrating improvements in both fidelity and speed. The paper concludes with a discussion of the future directions of this research, emphasizing the synergistic potential between GIT and quantum computation.

DOI: 10.5281/zenodo.22252260

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