Quantum Topology Self-Similarity Based Quantum Computation Optimization

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum topology, a fascinating field of mathematics, offers a unique perspective on the properties of quantum systems. Its inherent self-similarity, a defining characteristic, has drawn significant attention in various areas of physics and computation. This paper investigates the potential of leveraging quantum topology to understand and optimize quantum computation, proposing a model that utilizes quantum topology analysis to determine the self-similarity of quantum computation. We argue that this approach can offer a novel and powerful tool for automated optimization of quantum computation parameters, addressing the limitations of traditional optimization methods. The core mechanism focuses on employing quantum topology to identify and quantify the inherent structure within a quantum system, leading to optimized parameters that exhibit enhanced computational capabilities. This research seeks to establish a rigorous theoretical foundation and practical implementation of this method, demonstrating its potential to significantly advance quantum algorithm design and optimization.

DOI: 10.5281/zenodo.22265115

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