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Distributed Quantum Error Correction via Information Entropy Topology

Jincheng Zhang

Published Sep 2, 2026• 0 citations
Publisher

Abstract

This paper proposes a novel approach to distributed quantum error correction (QEC) leveraging the concept of information entropy topology. Traditional QEC focuses on coding schemes and error detection/correction algorithms, often treating the underlying network topology as a secondary consideration. We argue that the topology itself can be fundamentally defined and optimized using information entropy, offering a new paradigm for constructing more robust and efficient QEC networks. We present a framework where quantum error correction nodes are viewed as points within an information entropy space, and their connectivity is determined by the geodesic distance – a measure derived from information entropy – between them. This approach allows for the direct optimization of the network topology to achieve superior error correction performance. The core claim is that utilizing information entropy to define and operate on quantum error correction networks significantly enhances their error resilience and correction capabilities. The key mechanism involves translating quantum error correction networks into a topological structure within an information entropy space, exploiting the geometric properties of information entropy to refine the design of error-correcting codes and optimize the error detection/correction processes. Specifically, we employ information entropy distances to define the relationships between correction nodes, creating networks with tailored error correction properties. We demonstrate, through theoretical analysis, that this entropy-based topology can outperform conventional approaches, particularly in scenarios with complex network geometries and high error rates. The research contributes to a deeper understanding of the interplay between information theory and quantum error correction, paving the way for the development of next-generation QEC systems.

DOI
10.5281/zenodo.22242804

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