Title: Non-Linear Topological Flow for Quantum State Preservation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum state preservation is a fundamental challenge in quantum computation, often hampered by the inherent fragility of quantum information. Traditional methods struggle to maintain the integrity of states across multiple iterations, leading to errors. This paper introduces a novel non-linear topological flow framework, designed to enhance the stability of quantum computations by incorporating topological flow concepts. We propose a "Flow Metric" – a dynamically adjusting measure of state topology – to guide the preservation of quantum information. The core mechanism utilizes a continuous flow, which iteratively adapts to changes in the quantum state, effectively mitigating the effects of decoherence. This approach offers a fundamentally new perspective on state preservation, addressing limitations of existing techniques and potentially enabling significant improvements in quantum algorithm performance. We explore the mathematical foundations of the proposed method, demonstrating its convergence and effectiveness through simulation. The resulting framework promises a more robust and reliable approach to quantum state maintenance.

DOI: 10.5281/zenodo.22491212

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