Quantum Error Correction Protocols: A Topological Analysis of Non-Linearity

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum error correction (QEC) is a fundamental pillar of quantum computing, enabling reliable transmission and manipulation of quantum information. Traditional error correction methods rely on linear mathematical transformations, which are inherently limited in their ability to detect and correct errors. This paper explores the potential of using non-linear topological structures to fundamentally alter the design of quantum error correction protocols. We propose a novel framework that leverages these structures to enhance the robustness of QEC, potentially uncovering hidden physical laws governing the process. The core claim is that by analyzing quantum error correction protocols through a topological lens, we can identify crucial non-linearities and ultimately improve the protocol's effectiveness. This research aims to provide a new computational methodology for optimizing QEC, offering a path toward more reliable and scalable quantum systems.

DOI: 10.5281/zenodo.22244301

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