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##拓扑信息论的量子纠错码设计

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

This paper explores the application of topological information theory to the design of quantum error correction codes. Quantum information transfer is inherently vulnerable to noise and decoherence, necessitating robust error correction techniques. Traditional error correction methods rely on classical algorithms, which often struggle to maintain security against these vulnerabilities. We propose a novel approach based on topological information theory, offering a fundamentally different paradigm for encoding and decoding quantum information. The core mechanism involves constructing quantum codes that leverage the inherent robustness of topological states, enabling significantly enhanced security and improved error correction efficiency. This paper details the design process, mathematical foundations, and preliminary results demonstrating the potential of this approach.

DOI
10.5281/zenodo.22608449

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This paper explores the application of topological information theory to the design of quantum error correction codes. Quantum information transfer is inherently vulnerable to noise and decoherence, necessitating robust error correction techniques. Traditional error correction methods rely on classical algorithms, which often struggle to maintain security against these vulnerabilities. We propose a novel approach based on topological information theory, offering a fundamentally different paradigm for encoding and decoding quantum information. The core mechanism involves constructing quantum codes that leverage the inherent robustness of topological states, enabling significantly enhanced security and improved error correction efficiency. This paper details the design process, mathematical foundations, and preliminary results demonstrating the potential of this approach.
Quantum entanglement, a cornerstone of quantum mechanics, is inherently vulnerable to decoherence, leading to information loss. Classical error correction techniques struggle to effectively mitigate these issues, particularly in noisy environments. This paper explores a novel approach to quantum error correction – the "拓扑学量子纠错" (Topological Quantum Correction) – leveraging the unique properties of topological quantum states to achieve significantly enhanced error correction and robustness. We propose a new mechanism centered around "拓扑编码" (Topological Coding), which utilizes the inherent self-organization and robustness of topological quantum states to represent and correct errors. This work demonstrates the potential of topological quantum states to surpass the limitations of classical error correction, offering a fundamentally different perspective on quantum information security. The core claim is that quantum entanglement, when manipulated through topological coding, can create inherently more resilient quantum systems.
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