Geometric Information Theory: Adaptive Topology Transformation & Quantum Algorithm Fusion

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper introduces a novel hybrid algorithm combining adaptive topology transformation with quantum algorithms to achieve high-precision geometric transformations and calculations. Traditional geometric transformation methods rely on fixed topologies, while this approach leverages the adaptive transformation capabilities of geometric information theory to enable more flexible and efficient computations. The algorithm's core mechanism involves a carefully designed transformation process, guided by geometric information, which is enhanced by the inherent computational advantages of quantum algorithms. We present a theoretical framework outlining the algorithm's architecture and discuss its potential impact on various geometric computation problems. The study aims to advance the field of geometric computation by exploring a new paradigm for achieving high-precision transformations.

DOI: 10.5281/zenodo.22296221

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