Topological Quantum Computing for Universal Algorithm Implementation

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper explores the potential of topological quantum computing (TQC) to revolutionize the execution of universal algorithms. Traditional quantum computing faces significant challenges related to qubit decoherence and error correction, severely limiting the complexity of algorithms that can be reliably implemented. TQC, leveraging exotic quasiparticles with inherent topological protection, offers a fundamentally different approach, mitigating these issues and enabling potentially exponential speedups for computationally intensive tasks. This work details a framework for translating general algorithms, including graph algorithms and machine learning algorithms, into topologically protected quantum circuits. We propose a mechanism utilizing the inherent parallelism and robustness of TQC to accelerate algorithm execution. The core claim is that TQC's unique properties can dramatically improve the efficiency of universal algorithm computations. This document outlines the theoretical foundations, conceptual design, and key considerations for realizing this vision.

DOI: 10.5281/zenodo.22154283

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