Non-Linear Geometric Error Correction via Quantum Algorithms

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper introduces a novel quantum algorithm for non-linear geometric error correction, designed to enhance the accuracy and reliability of quantum computation. Traditional geometric error correction methods often struggle with the complexities of subtle errors, limiting the potential of quantum systems. This research explores the application of quantum entanglement to achieve a fundamentally different approach to error detection and correction. The core mechanism leverages quantum entanglement to create a global state synchronization and entanglement, enabling a robust and efficient error correction process. The developed algorithm demonstrates significant improvements in error detection and correction compared to existing classical methods, particularly in scenarios involving complex geometric transformations. We present a detailed analysis of the algorithm's performance, including mathematical formulations and experimental validation. This work contributes to the advancement of quantum error correction and opens avenues for more reliable and robust quantum computation.

DOI: 10.5281/zenodo.22504831

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