Quantum Error Correction Code Topology Optimization

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum error correction (QEC) is a crucial aspect of realizing fault-tolerant quantum computation. However, existing QEC codes often suffer from inefficiencies, including excessive qubit overhead and vulnerability to error propagation. This paper proposes a novel approach to QEC code design leveraging topological optimization. The core idea is to optimize the topological structure of the QEC code itself, aiming to minimize redundant encoding and reduce the probability of error propagation. We introduce a framework based on topological principles to systematically explore and refine the topology of QEC codes. This optimization process focuses on identifying and eliminating unnecessary connections within the code, resulting in a more resilient and efficient error correction scheme. The theoretical analysis demonstrates that optimized topological structures can significantly improve the code's performance metrics, such as the quantum error correction threshold and the logical error rate. This work represents a fundamental shift in the design of QEC codes, moving beyond traditional approaches to incorporate the inherent structure of the code as a key element in enhancing its performance.

DOI: 10.5281/zenodo.22194877

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