Topological Optimization of Quantum Error Correction Codes

Jincheng Zhang

Published Aug 28, 2026• 0 citations

Abstract

This paper investigates the topological optimization of quantum error correction codes, aiming to enhance their error-correcting performance and coding efficiency. We propose a novel approach leveraging topological protection principles to design an error-correcting code and subsequently optimize its topological structure. The core mechanism involves manipulating the code's topology to mitigate the effects of local errors and improve overall resilience. Through careful analysis and mathematical formulation, we demonstrate that optimized topological structures lead to significant improvements in error correction capabilities. The specific focus is on tailoring the code's connectivity and redundancy to achieve a better balance between error protection and the overhead associated with encoding. This work contributes to the advancement of practical quantum error correction by providing a framework for systematically designing and optimizing topological codes. The primary goal is to achieve higher fidelity quantum computations by reducing the impact of noise.

DOI: 10.5281/zenodo.22135902

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