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Title: Algorithmic Resonance for Quantum Error Correction

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Quantum error correction is a critical component of quantum computing, enabling the reliable operation of complex quantum algorithms. Traditional error correction methods often struggle with the inherent complexity and sensitivity of quantum systems. This paper introduces Algorithmic Resonance, a novel protocol that leverages the principle of algorithmic resonance to design a dynamically adaptive quantum error correction system. We propose a feedback loop that continuously adjusts correction parameters based on the rate of error propagation, resulting in enhanced error mitigation and potentially surpassing current limitations. The core mechanism centers around a self-amplifying signal that enhances the fidelity of quantum states. This approach offers a fundamentally new paradigm for quantum error correction, driven by the inherent dynamics of quantum systems.

DOI
10.5281/zenodo.22265099

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Quantum error correction is a critical component of quantum information processing, enabling the reliable transmission and manipulation of quantum states. Traditional error correction codes often rely on static mappings, limiting their effectiveness in addressing complex quantum systems. This paper introduces a novel adaptive quantum error correction algorithm based on the principles of topological quantum state structure. The algorithm leverages the inherent topological properties of quantum systems to dynamically adjust the error correction process, significantly enhancing the efficiency of error detection and correction. The core mechanism involves utilizing topological structures as a framework for rapid state adaptation and improved error resilience. This design addresses limitations of existing methods by offering a dynamic and adaptive approach that surpasses the capabilities of static approaches. This work presents a robust and efficient solution for quantum error correction, demonstrating its potential for significant advancements in the field.
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