Title: Non-Linear Quantum Error Correction with Adaptive Thresholds
Jincheng Zhang
Abstract
Quantum information processing offers unprecedented computational power, but its inherent fragility necessitates advanced error correction techniques. Traditional methods often rely on fixed thresholds, which can be suboptimal in the presence of complex error profiles. This paper presents a novel non-linear quantum error correction scheme predicated on adaptive thresholding, designed to significantly enhance error correction accuracy by dynamically adjusting thresholds based on the observed error rates. We demonstrate the effectiveness of this approach through simulations and analysis, showcasing a substantial improvement in error detection and correction compared to existing methods. The core mechanism leverages a dynamic thresholding function that adapts to the system's unique error characteristics. This paper will also discuss potential future research directions, including the integration of machine learning for further refinement of the thresholding algorithm.