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基于拓扑的量子算法优化 (TS-OA)

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper presents a novel quantum algorithm optimization framework, termed "基于拓扑的量子算法优化 (TS-OA)," which leverages topological structure optimization to enhance the performance of quantum algorithms. Traditional quantum algorithm optimization methods often rely on manual parameter design, which is a complex and time-consuming process. TS-OA employs a unique approach by dynamically constructing and optimizing quantum circuits based on topological properties, leading to improved efficiency and accuracy compared to existing methods. We investigate the theoretical and practical aspects of this approach, including the mathematical formulation of the optimization process and a preliminary analysis of its effectiveness. This work demonstrates the potential of TS-OA to significantly simplify and accelerate the optimization of complex quantum algorithms.

DOI
10.5281/zenodo.22185779

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This paper presents a novel quantum algorithm optimization framework, termed "基于拓扑的量子算法优化 (TS-OA)," which leverages topological structure optimization to enhance the performance of quantum algorithms. Traditional quantum algorithm optimization methods often rely on manual parameter design, which is a complex and time-consuming process. TS-OA employs a unique approach by dynamically constructing and optimizing quantum circuits based on topological properties, leading to improved efficiency and accuracy compared to existing methods. We investigate the theoretical and practical aspects of this approach, including the mathematical formulation of the optimization process and a preliminary analysis of its effectiveness. This work demonstrates the potential of TS-OA to significantly simplify and accelerate the optimization of complex quantum algorithms.
This paper explores the application of quantum topology for adaptive quantum computation, proposing a novel method for structure analysis that leverages the inherent topological properties of quantum systems to optimize computation. Traditional approaches often rely on manual design, limiting flexibility and efficiency. This work introduces a framework wherein quantum topology is employed to guide the optimization of complex quantum circuits, resulting in improved computational performance. We present a preliminary algorithm demonstrating the potential of this approach, highlighting its advantages over conventional methods. The core mechanism centers on identifying and manipulating topological landscapes to enhance quantum circuit performance.
This paper presents the Topological Space Quantum Circuit Optimization Algorithm (TS-QC), a novel approach to quantum circuit optimization that leverages the inherent structure of topological spaces to improve circuit performance. Traditional quantum circuit optimization often relies on manual design, which can be time-consuming and limited in its adaptability. TS-QC offers a fundamentally different paradigm by directly optimizing the topological structure of quantum circuits, achieving superior results through a unique algorithmic framework. The paper details the core mechanisms behind TS-QC, including the construction of a topological representation, the optimization process, and the resulting performance enhancements. We provide a comprehensive analysis of the algorithm's effectiveness through theoretical and experimental validation, demonstrating its superior performance compared to existing optimization techniques. The paper concludes with a discussion of future research directions and potential applications.
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This paper presents a novel quantum algorithm optimization approach based on adaptive topology. Traditional quantum algorithm optimization methods often rely on static approaches, struggling to effectively adapt to complex environments. Our work introduces a new algorithm leveraging adaptive topology to dynamically restructure quantum circuits, ultimately enhancing both the efficiency and accuracy of quantum computations. We detail the core mechanism, the underlying mathematical framework, and the experimental validation demonstrating the algorithm's superior performance compared to existing state-of-the-art optimization techniques. This advancement holds significant potential for accelerating the development and application of quantum algorithms across diverse computational tasks.
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