Quantum Topology for Adaptive Geometry Topology in Quantum Algorithms

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a rapidly developing field, offers a fundamentally different approach to manipulating quantum states. This paper explores the application of quantum topology to adaptive geometry topology, a novel framework for parameter adjustment within quantum algorithms. We propose a mechanism that leverages the dynamic evolution of quantum states to optimize the parameters of quantum algorithms, aiming to enhance both efficiency and accuracy. The core claim is that this approach significantly improves the performance of quantum algorithms through the strategic application of quantum topology. This work contributes to a new paradigm for quantum algorithm design, moving beyond traditional numerical optimization techniques.

DOI: 10.5281/zenodo.22186354

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