Title: Geometric Optimization of Quantum Error Correction

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Quantum error correction is a critical component of future quantum computing, enabling the reliable operation of complex quantum systems. Current methods, while effective in certain scenarios, often struggle with complex error patterns and require significant effort in parameter tuning. This paper explores a novel geometric optimization framework for quantum error correction, aiming to identify and mitigate the detrimental effects of errors on system performance. We propose a method based on establishing a geometric representation of the quantum error map and subsequently employing optimization algorithms to minimize this map's influence. This approach offers a potential pathway to significantly improve the robustness and efficiency of quantum error correction protocols, moving beyond traditional heuristic methods. The core mechanism involves leveraging geometric principles to construct a simplified, yet effective, representation of the error landscape, allowing for targeted optimization and ultimately enhancing system fidelity. The research builds upon existing work in optimization and error correction, but introduces a novel geometric perspective to address key challenges in the field.

DOI: 10.5281/zenodo.22153467

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