基于量子纠缠的非线性拓扑几何学

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper introduces a novel framework for non-linear topology based on quantum entanglement, aiming to provide a powerful tool for modeling and understanding complex systems. We propose a new quantum entanglement state and a corresponding topological algorithm that leverages the instantaneous correlations inherent in this state to simulate and manipulate the intricate structure of topological spaces. The core mechanism centers around the ability to leverage quantum entanglement to achieve algorithmic advancements beyond classical computation. This work explores the potential of this framework to unlock new computational paradigms and offers a potential foundation for future quantum computing advancements.

DOI: 10.5281/zenodo.22225635

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, 20260 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, 20260 citations

拓扑几何与量子纠缠的耦合理论

Jincheng Zhang

This paper explores the intricate coupling between topological geometry and quantum entanglement, proposing a novel computational framework for calculating complex topological structures. We introduce a novel computational paradigm centered around quantum entanglement dynamics, enabling precise calculations based on the inherent properties of entanglement. The core claim is that this approach dramatically expands the potential for quantum computation by leveraging the fundamental link between topological properties and quantum entanglement. This work investigates the potential for utilizing entanglement to precisely model and manipulate topological structures, ultimately paving the way for a significantly enhanced computational capability. The theoretical framework, developed through rigorous mathematical analysis and computational simulations, provides a foundation for future research in quantum topological algorithms. This study underscores the importance of exploring novel computational approaches that integrate the dynamics of quantum entanglement with the geometric properties of topological spaces.

Sep 7, 20260 citations

Non-linear Topological Structures of Quantum Entanglement

Jincheng Zhang

This paper investigates the fundamental properties of quantum entanglement within non-linear topological structures. We propose a novel approach to quantum entanglement computation, leveraging the intricate interplay between topology and quantum mechanics. The core mechanism centers on constructing a computational model predicated on the inherent properties of these structures, allowing for the efficient manipulation and processing of entangled quantum states. This research explores the potential for significant advancements in quantum information processing by embracing a fundamentally different perspective on entanglement. The core claim is that this methodology offers a pathway to overcome limitations of traditional quantum algorithms, particularly those involving large-scale entanglement, offering a robust framework for tackling complex quantum problems. The paper will detail the design of a specific model, highlighting its mathematical foundations and illustrating its potential applications.

Sep 3, 20260 citations

Quantum Entanglement Based on Dynamic Topology Modeling

Jincheng Zhang

Quantum entanglement is a fundamental phenomenon with profound implications for quantum information processing. This paper explores the design of a novel quantum computing model predicated on dynamic topology, aiming to surpass the limitations of classical quantum computation. The core mechanism involves establishing a dynamic topology model that encodes and manipulates quantum information through its inherent structure. We propose a framework that leverages the unique properties of entangled states to enable the implementation of advanced quantum algorithms, including enhanced quantum cryptography and improved quantum simulation capabilities. This research investigates the potential of this approach to unlock new levels of computational complexity and offers a promising path toward future quantum technologies.

Aug 31, 20260 citations

基于量子纠缠的拓扑场论的计算模型

Jincheng Zhang

This paper explores the potential of quantum entanglement to revolutionize computational modeling, specifically through the development of a novel computational model rooted in quantum topology. We propose a framework that leverages entanglement to compute complex topological structures, offering insights into the efficiency of quantum information storage. The core mechanism involves utilizing entanglement to generate and analyze intricate topological configurations, ultimately providing a new perspective on optimizing quantum data management. This work aims to advance understanding and potentially unlock new avenues for the design of robust quantum information systems.

Sep 6, 20260 citations