Title: Topological Information Theory – Quantum Geometry and Computation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the intersection of topology, geometry, and computation, proposing a novel computational paradigm based on quantum geometry. We investigate how quantum topology, specifically through quantum geometry, can be leveraged to achieve precise quantum simulation and algorithm validation. The core mechanism involves encoding quantum states using topological structures and utilizing quantum effects for optimization and verification. The work addresses a gap in current computational methods by offering a fundamentally different approach to quantum information processing, potentially offering increased precision and efficiency compared to traditional methods. This research lays the groundwork for a new era in quantum computation, leveraging the principles of topology to create robust and adaptable quantum algorithms.

DOI: 10.5281/zenodo.22266594

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