Quantum Error Correction for Classical Computing via Topological Encoding

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates a fundamentally new approach to quantum error correction (QEC) by employing topological encoding within classical materials. Traditional QEC relies on quantum mechanics and entanglement, presenting significant technological hurdles for implementation on conventional computers. Our proposed method leverages the inherent robustness of topological states, specifically the braiding of quasiparticles, to achieve error detection and correction without direct measurement of the encoded quantum states. The core idea involves mapping logical qubits to physical qubits based on the topological properties of the material. By carefully controlling and manipulating these quasiparticles, we can implement a fault-tolerant QEC scheme directly on classical hardware. This approach avoids the decoherence issues associated with quantum systems and offers a potentially scalable solution for QEC using readily available materials. We present a theoretical framework for this encoding scheme, outlining the key mathematical concepts and relationships involved. The proposed methodology represents a shift in perspective, moving from quantum to topological approaches for QEC, opening new avenues for computation and information processing.

DOI: 10.5281/zenodo.22242392

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