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-量子融合的计算模型

Jincheng Zhang

Published Sep 4, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel computational framework based on topological-quantum fusion (TQF) principles. We propose a model that leverages the inherent properties of topological structures and quantum entanglement to design a highly efficient simulation tool for quantum systems and topological systems. The core mechanism centers around integrating the interplay between topological structure and quantum entanglement, enabling enhanced computational speeds. This approach addresses limitations of traditional methods in handling complex, intertwined systems. The model's design emphasizes the potential for optimized representation and manipulation of quantum information, offering a significant advancement in computational capabilities.

DOI
10.5281/zenodo.22296557

Related papers

基于量子纠缠的非线性拓扑模型驱动的计算

Jincheng Zhang

This paper explores the potential of leveraging quantum entanglement to construct a novel computational framework based on non-linear topological models. We propose a new approach to tackling complex systems exhibiting non-linear topological properties, aiming to achieve improved computational accuracy and handle intricate model representations. The core mechanism centers around utilizing quantum entanglement to introduce unique characteristics into the topological structure, enabling the solution of problems previously intractable for classical computational methods. The framework's design incorporates a quantum-enhanced approach to address the inherent limitations of traditional computational techniques. This research lays the groundwork for a paradigm shift in the field of computational topology, offering a promising avenue for advancements in modeling and simulation of complex, non-linear systems.

•Sep 7, 2026•0 citations

基于量子拓扑的数值模拟方法

Jincheng Zhang

Quantum systems exhibit complex and often unpredictable behavior, posing significant challenges for traditional numerical simulations. This paper introduces a novel approach to quantum system dynamics, leveraging the principles of quantum topology to construct a highly accurate numerical simulation framework. We propose a method based on the inherent topological properties of quantum systems, allowing for a more precise and robust representation of their behavior. This work addresses the limitations of conventional methods by providing a fundamentally new framework for simulating quantum systems, specifically focusing on dynamic processes and offering enhanced accuracy. The core mechanism centers around the manipulation of topology to guide the computation, enabling a deeper understanding of quantum phenomena. We demonstrate the efficacy of this framework through a series of simulations, showcasing its potential to revolutionize the study of complex quantum systems.

•Sep 4, 2026•0 citations

基于量子纠缠的拓扑几何建模

Jincheng Zhang

This paper explores the potential of leveraging quantum entanglement to develop a novel framework for modeling complex topological structures. Traditional geometric methods often struggle with intricate topological systems, limiting their computational power. We propose a new approach that utilizes quantum entanglement as a fundamental computational element, designing a specialized algorithm to directly map and predict topological patterns. This work aims to move beyond traditional geometric approaches by introducing a quantum-enhanced modeling paradigm. The core mechanism centers on establishing a dynamic entanglement structure that facilitates the precise representation of topological phenomena. This innovation has the potential to significantly advance the field of topological geometry through enhanced computational capabilities and the ability to directly simulate intricate topological systems.

•Aug 31, 2026•0 citations

Core Claim: Building a Quantum Computing Framework Based on Topological Structures, Utilizing Quantum Entanglement and Topological Properties, to Enhance the Efficiency of Quantum Algorithms and Expand Computational Capabilities, Particularly in Handling Complex Topological Data Structures.

Jincheng Zhang

Quantum computing holds immense promise for revolutionizing various fields, but its practical application is hampered by limitations in algorithm efficiency and computational power, particularly when dealing with complex data structures. This paper introduces a novel quantum computing framework, the "Topological Quantum Computing Framework," predicated on the principles of quantum entanglement and topological properties. The framework aims to address these limitations by introducing a novel "Topological Quantum Entanglement" mechanism, which leverages topological properties to optimize quantum algorithm execution and improve the utilization of quantum entanglement. This approach offers a fundamentally new pathway towards enhanced efficiency and scalability in quantum computation, especially when applied to the analysis and manipulation of intricate topological data structures. The core mechanism centers around the creation and manipulation of topological quantum states, enabling novel quantum algorithms with significantly increased computational performance. We explore the potential of this framework for tackling complex problems and demonstrate its efficacy through illustrative examples. The research contributes to a deeper understanding of the intersection of quantum mechanics and computational complexity, paving the way for the development of more powerful and versatile quantum algorithms.

•Sep 4, 2026•0 citations

基于量子纠缠的拓扑信息分析

Jincheng Zhang

This paper introduces a novel approach to robust and efficient topological information analysis utilizing quantum entanglement. Traditional methods often struggle with the inherent complexity and sensitivity of topological structures. We propose a framework that leverages the unique properties of quantum entanglement to characterize the dynamic behavior of topological systems with enhanced accuracy and speed. The core mechanism involves establishing and manipulating entangled states to extract critical information about the system's topology and dynamics. This method offers a significant advancement over existing techniques, particularly in handling intricate topological patterns and complex dynamical behaviors. We demonstrate the effectiveness of our framework through rigorous numerical simulations and analysis of several well-known examples, highlighting its potential for revolutionizing the field of topological information analysis.

•Aug 31, 2026•0 citations

Quantum Topology-Based Computation Method

Jincheng Zhang

Quantum Topology, a rapidly evolving field of mathematics and physics, offers a novel approach to computation by leveraging the unique properties of spacetime and quantum mechanics. This paper explores the potential of Quantum Topology to revolutionize computation, focusing specifically on its application to efficient and highly complex calculations. We introduce a novel computational method predicated on the principles of quantum topology, demonstrating its capability to achieve unprecedented levels of speed and precision through the integration of quantum entanglement and topological information. This work presents a framework for designing algorithms that exploit the inherent structure of spacetime, offering a significant advancement over traditional computational paradigms. The core mechanism revolves around constructing a fundamentally different computational model centered around quantum entanglement and topological data structures, promising substantial improvements in computational complexity and data processing capabilities. This research investigates the feasibility and potential impact of this approach across a range of computational domains, highlighting its promise for future advancements in scientific discovery and technological innovation.

•Sep 3, 2026•0 citations
This paper introduces a novel computational framework based on topological-quantum fusion (TQF) principles. We propose a model that leverages the inherent properties of topological structures and quantum entanglement to design a highly efficient simulation tool for quantum systems and topological systems. The core mechanism centers around integrating the interplay between topological structure and quantum entanglement, enabling enhanced computational speeds. This approach addresses limitations of traditional methods in handling complex, intertwined systems. The model's design emphasizes the potential for optimized representation and manipulation of quantum information, offering a significant advancement in computational capabilities.
This paper explores the potential of leveraging quantum entanglement to construct a novel computational framework based on non-linear topological models. We propose a new approach to tackling complex systems exhibiting non-linear topological properties, aiming to achieve improved computational accuracy and handle intricate model representations. The core mechanism centers around utilizing quantum entanglement to introduce unique characteristics into the topological structure, enabling the solution of problems previously intractable for classical computational methods. The framework's design incorporates a quantum-enhanced approach to address the inherent limitations of traditional computational techniques. This research lays the groundwork for a paradigm shift in the field of computational topology, offering a promising avenue for advancements in modeling and simulation of complex, non-linear systems.
Quantum systems exhibit complex and often unpredictable behavior, posing significant challenges for traditional numerical simulations. This paper introduces a novel approach to quantum system dynamics, leveraging the principles of quantum topology to construct a highly accurate numerical simulation framework. We propose a method based on the inherent topological properties of quantum systems, allowing for a more precise and robust representation of their behavior. This work addresses the limitations of conventional methods by providing a fundamentally new framework for simulating quantum systems, specifically focusing on dynamic processes and offering enhanced accuracy. The core mechanism centers around the manipulation of topology to guide the computation, enabling a deeper understanding of quantum phenomena. We demonstrate the efficacy of this framework through a series of simulations, showcasing its potential to revolutionize the study of complex quantum systems.
This paper explores the potential of leveraging quantum entanglement to develop a novel framework for modeling complex topological structures. Traditional geometric methods often struggle with intricate topological systems, limiting their computational power. We propose a new approach that utilizes quantum entanglement as a fundamental computational element, designing a specialized algorithm to directly map and predict topological patterns. This work aims to move beyond traditional geometric approaches by introducing a quantum-enhanced modeling paradigm. The core mechanism centers on establishing a dynamic entanglement structure that facilitates the precise representation of topological phenomena. This innovation has the potential to significantly advance the field of topological geometry through enhanced computational capabilities and the ability to directly simulate intricate topological systems.
Quantum computing holds immense promise for revolutionizing various fields, but its practical application is hampered by limitations in algorithm efficiency and computational power, particularly when dealing with complex data structures. This paper introduces a novel quantum computing framework, the "Topological Quantum Computing Framework," predicated on the principles of quantum entanglement and topological properties. The framework aims to address these limitations by introducing a novel "Topological Quantum Entanglement" mechanism, which leverages topological properties to optimize quantum algorithm execution and improve the utilization of quantum entanglement. This approach offers a fundamentally new pathway towards enhanced efficiency and scalability in quantum computation, especially when applied to the analysis and manipulation of intricate topological data structures. The core mechanism centers around the creation and manipulation of topological quantum states, enabling novel quantum algorithms with significantly increased computational performance. We explore the potential of this framework for tackling complex problems and demonstrate its efficacy through illustrative examples. The research contributes to a deeper understanding of the intersection of quantum mechanics and computational complexity, paving the way for the development of more powerful and versatile quantum algorithms.
This paper introduces a novel approach to robust and efficient topological information analysis utilizing quantum entanglement. Traditional methods often struggle with the inherent complexity and sensitivity of topological structures. We propose a framework that leverages the unique properties of quantum entanglement to characterize the dynamic behavior of topological systems with enhanced accuracy and speed. The core mechanism involves establishing and manipulating entangled states to extract critical information about the system's topology and dynamics. This method offers a significant advancement over existing techniques, particularly in handling intricate topological patterns and complex dynamical behaviors. We demonstrate the effectiveness of our framework through rigorous numerical simulations and analysis of several well-known examples, highlighting its potential for revolutionizing the field of topological information analysis.
Quantum Topology, a rapidly evolving field of mathematics and physics, offers a novel approach to computation by leveraging the unique properties of spacetime and quantum mechanics. This paper explores the potential of Quantum Topology to revolutionize computation, focusing specifically on its application to efficient and highly complex calculations. We introduce a novel computational method predicated on the principles of quantum topology, demonstrating its capability to achieve unprecedented levels of speed and precision through the integration of quantum entanglement and topological information. This work presents a framework for designing algorithms that exploit the inherent structure of spacetime, offering a significant advancement over traditional computational paradigms. The core mechanism revolves around constructing a fundamentally different computational model centered around quantum entanglement and topological data structures, promising substantial improvements in computational complexity and data processing capabilities. This research investigates the feasibility and potential impact of this approach across a range of computational domains, highlighting its promise for future advancements in scientific discovery and technological innovation.