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Topological Quantum Algorithms

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper introduces Topological Quantum Algorithms (TQA) as a novel approach to quantum computing, focusing on leveraging the inherent topological properties of quantum states to achieve enhanced computational efficiency and data processing capabilities. The core principle centers around utilizing the structure of quantum states – specifically, topological invariants – to guide quantum operations and significantly reduce the number of required quantum gates. We present a framework that employs a specialized quantum circuit design based on these topological principles, demonstrating its potential for overcoming limitations inherent in conventional quantum algorithms. The paper highlights the benefits of this architecture, including improved fidelity and reduced computational complexity for specific quantum tasks. We conclude with a discussion of the challenges and future directions for this emerging field.

DOI
10.5281/zenodo.22200899

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