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Self-Adaptive Topological Transformations for Quantum Computing

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

This paper investigates the potential of self-adaptive topological transformations for enhancing the efficiency and stability of quantum computation. Traditional quantum algorithms often suffer from limitations in robustness and scalability, prompting the exploration of novel approaches. We propose a new method leveraging the unique properties of topological quantum states to dynamically adjust the geometry of the qubit system, mitigating errors and enhancing computational capabilities. This research focuses on the design of a self-adaptive transformation process that adapts to the specific noise characteristics of the quantum hardware, thereby improving overall performance. The core claim centers on the utilization of self-adaptive topological transformations to overcome inherent challenges in quantum computation. This work presents a novel framework demonstrating improved fidelity and extended coherence times in quantum simulations and computations. We aim to provide a foundation for future advancements in quantum information processing.

DOI
10.5281/zenodo.22322076

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Quantum computation offers the potential for exponentially faster computation compared to classical computation, but its practical implementation faces significant challenges related to algorithm design and optimization. This paper explores the application of self-adaptive topology to quantum algorithm design, proposing a new approach that dynamically adjusts the topology of quantum circuits to enhance performance. We present a method for constructing quantum circuits that leverages the inherent properties of self-adaptive topology to achieve improved efficiency and accuracy. The core mechanism involves the iterative refinement of a topological structure based on feedback from quantum measurements, allowing the algorithm to adapt to the specific characteristics of the input quantum system. This paper details the design of an algorithm, including the mathematical formulation of the adaptive topology, and provides a preliminary analysis of its performance compared to traditional approaches. The research aims to contribute to the development of more efficient and robust quantum algorithms through the application of self-adaptive topology, opening avenues for advancements in quantum information processing. The investigation will focus on a specific example of a quantum algorithm, highlighting the benefits of the proposed approach.
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