Topological Space Quantum Circuit Optimization Algorithm (TS-QC)

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

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.

DOI: 10.5281/zenodo.22185750

Related papers

Title: Topological Space-Adaptive Quantum Circuit Design (TS-QC)

Jincheng Zhang

This paper introduces a novel quantum circuit design framework, Topological Space-Adaptive Quantum Circuit Design (TS-QC), that dynamically adjusts quantum circuit parameters based on input data. Traditional quantum circuit design relies heavily on manual parameter tuning, limiting design flexibility and potentially hindering performance optimization. TS-QC leverages the power of topological structures to optimize quantum circuit parameters, resulting in improved circuit performance and reliability. This work presents a practical implementation of TS-QC and demonstrates its efficacy through a series of simulations and analysis. The core mechanism centers on the application of topological optimization techniques to enhance the robustness and efficiency of quantum circuits.

Aug 31, 20260 citations

Title: Topological Space Quantum System Design and Optimization (TS-QS)

Jincheng Zhang

This paper presents a novel approach to quantum system design and optimization, termed Topological Space Quantum System Design and Optimization (TS-QS), which leverages the inherent topological properties of quantum systems to guide parameter optimization and enhance system performance and reliability. Traditional methods often rely on manual parameter tuning, which can be time-consuming and prone to suboptimal solutions. TS-QS offers a fundamentally different perspective, utilizing topological structures to systematically explore parameter spaces and identify configurations exhibiting superior performance characteristics. This paper details the framework, its underlying mechanisms, and demonstrates its effectiveness through illustrative examples.

Aug 31, 20260 citations

基于拓扑的量子算法优化 (TS-OA)

Jincheng Zhang

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.

Aug 31, 20260 citations

基于自组织的量子电路的拓扑优化

Jincheng Zhang

This paper introduces a novel optimization algorithm based on self-organized quantum circuits, aiming to enhance the performance and efficiency of quantum circuits while minimizing their complexity. Traditional quantum circuit design often relies on manual manipulation, limiting flexibility and potential for optimization. We propose a new approach that leverages the inherent topological properties of quantum circuits to dynamically adjust their structure, leading to significant improvements. The core mechanism involves constructing a self-organized circuit that evolves through a series of transformations, guided by a topological mapping. We demonstrate the effectiveness of this algorithm through simulations and analysis of various quantum circuit designs, highlighting its ability to achieve superior performance compared to traditional optimization methods. The research explores the potential of this technique to address challenges in quantum circuit design and expansion, paving the way for more efficient and versatile quantum technologies.

Aug 29, 20260 citations

Quantum Computing Topology Optimization

Jincheng Zhang

This paper introduces a novel quantum computing-based topology optimization algorithm, aiming to address the limitations of traditional optimization methods by leveraging quantum computational principles. We propose a framework that utilizes quantum algorithms to effectively explore the complex topological structures inherent in optimization problems. The core mechanism involves manipulating parameters within a defined topological space, allowing for the discovery of optimal solutions with enhanced efficiency. The paper details the algorithm's design, including the quantum circuit implementation, optimization process, and preliminary results demonstrating its potential for superior performance compared to classical approaches. The research highlights the importance of quantum computing for tackling complex optimization challenges across diverse fields.

Sep 4, 20260 citations

Quantum Computing via Topological Structure Optimization

Jincheng Zhang

Quantum computing holds immense potential to revolutionize various fields, including drug discovery, materials science, and cryptography. However, current quantum algorithms often rely on precise, computationally intensive quantum circuits. This paper explores a novel approach to quantum computation that leverages the unique properties of topological structures to optimize quantum parameter sets, thereby enhancing computational efficiency. We propose a new algorithm based on topological optimization, demonstrating significant improvements over existing methods in specific benchmark problems. This research focuses on the fundamental principles of topological optimization and its application to quantum information processing. The core mechanism involves constructing a topological map representing the parameter space, guiding the search for optimal configurations through a gradient-based optimization process. We provide a detailed description of the algorithm, including the topological map construction, gradient calculation, and optimization procedure. The results showcase the effectiveness of this approach in improving quantum circuit performance and addressing limitations of traditional quantum algorithms.

Sep 6, 20260 citations