Title: Non-Linear Geometric Topology for Quantum State Preservation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Abstract: This paper explores the application of non-linear geometric topology, specifically fractal geometry, to the preservation of quantum states. Quantum states exhibit inherent fragility, susceptible to decoherence over extended time scales and environmental perturbations. Existing topological methods often fall short in effectively managing this sensitivity. This work proposes a novel approach utilizing dynamically evolving topology, inspired by fractal patterns, to mitigate decoherence. This topology adapts to subtle quantum fluctuations, offering a robust framework for quantum computing and information processing. We detail the core mechanism – a self-correcting topology – and present preliminary results demonstrating its potential for preserving quantum coherence.

DOI: 10.5281/zenodo.22493028

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