Quantum Error Correction and Compression via Topological Representations

Jincheng Zhang

Published Aug 28, 2026• 0 citations

Abstract

This paper presents a novel approach to quantum error correction and compression leveraging the unique properties of topological quantum networks. We propose a new encoding scheme based on physical entanglement within the network, combined with topological protection mechanisms, to achieve robust quantum information transmission and storage. Furthermore, we introduce a topological compression algorithm to significantly reduce the redundancy inherent in traditional quantum error correction codes. Our method aims to overcome limitations of existing schemes by deeply integrating topological quantum mechanics with the fundamental physical principles of quantum error correction. The core of the approach relies on light-path encoding based on entanglement and utilizes topological protection to safeguard quantum information. The proposed compression algorithm actively removes redundant encoding information, leading to a substantial reduction in the overall code size. Simulation results demonstrate the potential of this combined approach for realizing efficient and scalable quantum communication and computation. The key innovation lies in the synergistic combination of physical entanglement and topological protection, offering a pathway to more practical quantum error correction and compression.

DOI: 10.5281/zenodo.22137072

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