Quantum Topology-Driven Algorithm Complexity Optimization

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum topology, a novel field of physics, offers a potentially transformative approach to algorithm complexity optimization. This research explores the application of quantum topology principles to design a new algorithm complexity optimization method. We propose a framework centered around leveraging the inherent topological structure of problems to achieve significant reductions in complexity and improved computational efficiency. The core mechanism involves identifying and exploiting specific topological features within problem instances, allowing for targeted algorithmic adjustments that minimize computational resources without sacrificing solution quality. This work represents a significant step towards a paradigm shift in algorithm design, potentially revolutionizing the field of computational complexity analysis.

DOI: 10.5281/zenodo.22277178

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