Title: Universal Quantum Error Correction for Non-Linear Quantum Systems

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

The inherent fragility of quantum systems necessitates robust error correction to ensure reliable computation. Current error correction techniques often struggle with complex, non-linear quantum systems, demanding substantial overhead and hindering performance. This paper proposes a novel quantum error correction scheme predicated on entanglement and quantum correlations, aiming to minimize overhead while preserving high accuracy. The core mechanism centers around a dynamically adjusted encoding scheme that leverages these correlations to proactively detect and correct errors. We present a theoretical framework outlining the scheme's operation, including key mathematical operations and analysis. We demonstrate the effectiveness of this approach through simulations, illustrating significant reductions in overhead compared to existing methods for specific non-linear quantum systems. The study also explores the potential for adaptation and scalability to larger systems.

DOI: 10.5281/zenodo.22189362

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