基于拓扑量子计算的容错编码设计

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper explores the design of a fault-tolerant encoding scheme specifically tailored for topological quantum computing. The central premise is to leverage the inherent robustness of topological protection against decoherence, a primary challenge in realizing practical quantum computers. We propose a scheme utilizing non-Abelian anyons, exotic quasiparticles found in topological superconductors, to construct a robust quantum code. The core concept involves encoding quantum information within the braiding operations of these anyons, where the resulting topological transformations inherently protect against local errors. The scheme's efficacy relies on the topological protection mechanism, effectively mitigating errors arising from environmental noise and imperfections in qubit control. This work provides a theoretical foundation for utilizing topological quantum computing to achieve high-fidelity quantum computation. The key mathematical elements explored include qubit states, braiding operations, and the mathematical description of the topological protection effect.

DOI: 10.5281/zenodo.22636217

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