Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

拓扑学与量子纠缠的耦合计算框架

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel coupling computation framework for topological analysis and calculation, leveraging the unique properties of quantum entanglement. The core concept is the implementation of a "quantum topology connection" mechanism, allowing for the direct calculation of the complexity of topological structures and enhanced computational speed through entanglement-assisted algorithms. We address the limitations of traditional topological methods by providing a fundamentally new approach that combines quantum mechanics with computational theory. The paper details the design of this framework, explores its potential applications, and provides preliminary results demonstrating its effectiveness. The focus is on the potential for significantly accelerating topological research and expanding the scope of existing techniques.

DOI
10.5281/zenodo.22603287

Related papers

基于量子拓扑的非局域计算框架

Jincheng Zhang

This paper introduces a novel framework for non-local quantum computation based on quantum topology. Traditional quantum computation often restricts itself to local, gate-based operations, limiting its potential for complex, non-intuitive algorithms. We propose a quantum topology-driven framework that leverages the unique properties of quantum entanglement and topology to enable algorithms with enhanced expressive power and adaptability. This framework offers a fundamentally different approach to quantum computation, potentially unlocking new possibilities for complex problem-solving and exploring applications beyond the scope of standard quantum algorithms. The core mechanisms involve the creation of topological quantum circuits, utilizing entanglement to perform operations that are inherently non-local, and the design of algorithms that exploit these topological properties for enhanced computational capabilities. This work investigates the potential of this framework to expand the landscape of quantum computation and explores its applicability to various non-local tasks.

•Sep 2, 2026•0 citations

基于量子计算的复杂拓扑结构分析

Jincheng Zhang

This paper explores the potential of quantum computing to revolutionize the analysis of complex topological structures. Traditional computational methods often struggle to effectively model and compute the intricate properties of these structures due to their inherent complexity. We propose a novel quantum algorithm designed to address these limitations, focusing on precise modeling and calculation of topological invariants. The core mechanism of this approach leverages quantum parallelism to accelerate the process of determining fundamental characteristics of these structures. This work provides a conceptual framework and preliminary results demonstrating the feasibility of quantum computing for tackling this challenging problem. The paper concludes with a discussion of future research directions and potential applications.

•Sep 7, 2026•0 citations

自适应量子纠缠的拓扑信息分析

Jincheng Zhang

This paper introduces a novel approach to topology analysis utilizing self-adapted quantum entanglement. Traditional topology methods rely on classical computation, while quantum entanglement offers the potential for significantly accelerated analysis. We propose a method that leverages the unique properties of entangled states to effectively analyze complex topological structures, ultimately providing a more efficient computational framework. The core mechanism centers on exploiting the superposition and entanglement dynamics inherent in quantum systems to uncover subtle topological relationships that are difficult to discern with classical techniques. This research explores the potential of this approach to enhance the analysis of intricate topological landscapes, offering a promising pathway toward improved computational efficiency and a deeper understanding of topological phenomena.

•Aug 31, 2026•0 citations

基于量子纠缠的拓扑信息搜索

Jincheng Zhang

This paper presents a novel quantum entanglement-based search algorithm designed for efficient exploration of topological spaces and assessment of their properties. Traditional methods often rely on classical algorithms, but quantum entanglement offers a pathway to significantly enhance search efficiency. We detail the core mechanism of this algorithm, focusing on leveraging entanglement to facilitate rapid and accurate exploration of topological structures. This research explores the potential of this approach to revolutionize the study of complex topological phenomena. The paper provides a comprehensive outline of the algorithm's design, detailing the quantum state manipulation and data processing steps involved. Furthermore, we discuss the experimental validation and preliminary results demonstrating the algorithm's efficacy in identifying specific topological patterns. The core claim of this work is that this quantum entanglement-based search algorithm can surpass classical methods in terms of speed and accuracy when applied to complex topological datasets. The paper concludes with a discussion of future research directions and potential applications.

•Sep 2, 2026•0 citations

基于量子自适应几何的拓扑计算

Jincheng Zhang

This paper introduces a novel framework for quantum-assisted topological computation, leveraging the unique properties of quantum self-adapted topology. We propose a computational algorithm that significantly accelerates topological data analysis, offering improved efficiency in the computation of complex topological structures. The core mechanism involves constructing a quantum-enhanced topological data structure via the application of quantum self-adapted topology, enabling the rapid analysis of topological data. This work addresses a long-standing challenge in topological computation – the inherent computational complexity – and demonstrates the potential for substantial speedups through quantum acceleration. We will present theoretical analysis and preliminary experimental results illustrating the effectiveness of this approach.

•Sep 3, 2026•0 citations

基于量子纠缠的拓扑计算 (QCT) 算法

Jincheng Zhang

This paper introduces a novel quantum computing algorithm, the "基于量子纠缠的拓扑计算" (QCT) algorithm, designed to facilitate the study and simulation of complex topological structures. The core concept of the QCT algorithm leverages the unique properties of quantum entanglement to accelerate and enhance the discovery of novel topological phenomena. We detail the algorithm's structure, mechanisms, and potential applications, emphasizing its ability to circumvent the limitations of traditional computational approaches. The paper concludes with a discussion of the algorithm's theoretical foundations and preliminary experimental validation, highlighting its promise for advancing the field of topological computation.

•Sep 4, 2026•0 citations
This paper introduces a novel coupling computation framework for topological analysis and calculation, leveraging the unique properties of quantum entanglement. The core concept is the implementation of a "quantum topology connection" mechanism, allowing for the direct calculation of the complexity of topological structures and enhanced computational speed through entanglement-assisted algorithms. We address the limitations of traditional topological methods by providing a fundamentally new approach that combines quantum mechanics with computational theory. The paper details the design of this framework, explores its potential applications, and provides preliminary results demonstrating its effectiveness. The focus is on the potential for significantly accelerating topological research and expanding the scope of existing techniques.
This paper introduces a novel framework for non-local quantum computation based on quantum topology. Traditional quantum computation often restricts itself to local, gate-based operations, limiting its potential for complex, non-intuitive algorithms. We propose a quantum topology-driven framework that leverages the unique properties of quantum entanglement and topology to enable algorithms with enhanced expressive power and adaptability. This framework offers a fundamentally different approach to quantum computation, potentially unlocking new possibilities for complex problem-solving and exploring applications beyond the scope of standard quantum algorithms. The core mechanisms involve the creation of topological quantum circuits, utilizing entanglement to perform operations that are inherently non-local, and the design of algorithms that exploit these topological properties for enhanced computational capabilities. This work investigates the potential of this framework to expand the landscape of quantum computation and explores its applicability to various non-local tasks.
This paper explores the potential of quantum computing to revolutionize the analysis of complex topological structures. Traditional computational methods often struggle to effectively model and compute the intricate properties of these structures due to their inherent complexity. We propose a novel quantum algorithm designed to address these limitations, focusing on precise modeling and calculation of topological invariants. The core mechanism of this approach leverages quantum parallelism to accelerate the process of determining fundamental characteristics of these structures. This work provides a conceptual framework and preliminary results demonstrating the feasibility of quantum computing for tackling this challenging problem. The paper concludes with a discussion of future research directions and potential applications.
This paper introduces a novel approach to topology analysis utilizing self-adapted quantum entanglement. Traditional topology methods rely on classical computation, while quantum entanglement offers the potential for significantly accelerated analysis. We propose a method that leverages the unique properties of entangled states to effectively analyze complex topological structures, ultimately providing a more efficient computational framework. The core mechanism centers on exploiting the superposition and entanglement dynamics inherent in quantum systems to uncover subtle topological relationships that are difficult to discern with classical techniques. This research explores the potential of this approach to enhance the analysis of intricate topological landscapes, offering a promising pathway toward improved computational efficiency and a deeper understanding of topological phenomena.
This paper presents a novel quantum entanglement-based search algorithm designed for efficient exploration of topological spaces and assessment of their properties. Traditional methods often rely on classical algorithms, but quantum entanglement offers a pathway to significantly enhance search efficiency. We detail the core mechanism of this algorithm, focusing on leveraging entanglement to facilitate rapid and accurate exploration of topological structures. This research explores the potential of this approach to revolutionize the study of complex topological phenomena. The paper provides a comprehensive outline of the algorithm's design, detailing the quantum state manipulation and data processing steps involved. Furthermore, we discuss the experimental validation and preliminary results demonstrating the algorithm's efficacy in identifying specific topological patterns. The core claim of this work is that this quantum entanglement-based search algorithm can surpass classical methods in terms of speed and accuracy when applied to complex topological datasets. The paper concludes with a discussion of future research directions and potential applications.
This paper introduces a novel framework for quantum-assisted topological computation, leveraging the unique properties of quantum self-adapted topology. We propose a computational algorithm that significantly accelerates topological data analysis, offering improved efficiency in the computation of complex topological structures. The core mechanism involves constructing a quantum-enhanced topological data structure via the application of quantum self-adapted topology, enabling the rapid analysis of topological data. This work addresses a long-standing challenge in topological computation – the inherent computational complexity – and demonstrates the potential for substantial speedups through quantum acceleration. We will present theoretical analysis and preliminary experimental results illustrating the effectiveness of this approach.
This paper introduces a novel quantum computing algorithm, the "基于量子纠缠的拓扑计算" (QCT) algorithm, designed to facilitate the study and simulation of complex topological structures. The core concept of the QCT algorithm leverages the unique properties of quantum entanglement to accelerate and enhance the discovery of novel topological phenomena. We detail the algorithm's structure, mechanisms, and potential applications, emphasizing its ability to circumvent the limitations of traditional computational approaches. The paper concludes with a discussion of the algorithm's theoretical foundations and preliminary experimental validation, highlighting its promise for advancing the field of topological computation.