Title: Quantum Topological Field Theory Model

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper presents a novel quantum topological field theory model based on quantum entanglement. The model aims to simulate the dynamic evolution of topological fields, leveraging the unique properties of quantum entanglement to achieve higher precision in topological model representation. The core mechanism involves utilizing entangled quantum states to mimic the intricate behavior of topological systems, offering a significant advantage over classical simulation techniques. We demonstrate the model's capability to accurately model complex topological phenomena, addressing limitations of existing approaches. This research provides a foundation for exploring advanced quantum simulations of topological systems with enhanced fidelity.

DOI: 10.5281/zenodo.22591516

Related papers

Title: Quantum Topology for Simulation of Physical Systems

Jincheng Zhang

Quantum topology, a burgeoning field of theoretical physics, proposes a novel approach to simulating physical systems by exploiting the properties of quantum entanglement. This paper explores the potential of utilizing quantum topology to develop a powerful new simulation technique, offering a pathway towards highly accurate and computationally efficient models of complex phenomena. We outline the core mechanism, detailing how entanglement can be leveraged to represent and manipulate fundamental connections within a system, ultimately aiming to overcome the limitations of traditional simulation methods. This work addresses the challenge of simulating intricate physical systems with reduced computational demands, presenting a fundamentally new methodology for achieving this goal. The paper will discuss the theoretical foundations, potential applications, and preliminary results obtained through simulations, highlighting the unique advantages of this approach.

Aug 31, 20260 citations

Title: Quantum-Based Topological Geometry Algorithm

Jincheng Zhang

This paper presents a novel quantum simulation algorithm for topological geometry, designed to simulate complex geometric structures and topological relationships with enhanced accuracy. Traditional numerical methods often struggle to accurately capture intricate topological properties. We propose a framework leveraging quantum simulation to model these structures, enabling more precise results through computational techniques. This research focuses on the design of a quantum algorithm capable of exploring and understanding topological phenomena with significantly improved fidelity. The core mechanism involves employing quantum states to represent and manipulate geometric configurations, offering a pathway to overcome limitations of classical simulation techniques. The algorithm will demonstrate improvements in the resolution and accuracy of topological analysis, offering a powerful tool for research and development in the field of topology and geometric computation.

Sep 6, 20260 citations

Title: Quantum Entanglement-Based Topological Information Analysis Algorithm

Jincheng Zhang

Quantum entanglement, a bizarre phenomenon where two particles become linked regardless of distance, has emerged as a promising resource for advanced information processing and quantum technologies. This research explores the application of quantum entanglement to the analysis of topological information, aiming to enhance the accuracy and efficiency of topological information analysis. We propose an algorithm that leverages the unique properties of entangled states to represent and manipulate topological data, offering a novel approach to address limitations inherent in classical methods. The core mechanism centers on exploiting the entanglement to capture the dynamic nature of topological structures, ultimately leading to a more precise understanding of these intricate phenomena. The algorithm utilizes a modified version of the entanglement-induced measurement protocol, where entangled states are manipulated to reveal subtle topological features. This represents a significant step towards a more robust and accurate method for analyzing topological data, potentially unlocking new insights into the underlying physics of these systems. The significance of this work lies in the potential for quantum entanglement to provide a fundamentally different perspective on topological information analysis, offering a pathway to overcoming classical computational constraints and advancing the field.

Aug 31, 20260 citations

Title: Quantum Entanglement Geometry Evolution Model

Jincheng Zhang

Quantum entanglement offers a unique pathway to explore complex geometric topologies, enabling simulations that are beyond the capabilities of classical methods. This paper proposes a novel geometric topology evolution model based on quantum entanglement, utilizing entanglement to dynamically generate and evolve geometric structures. We present a framework that leverages the inherent properties of quantum entanglement to create highly accurate geometric models, offering a fundamentally new approach to computational geometry. The model's core mechanism focuses on simulating entanglement-induced topological transformations, providing precise geometric representations of evolving structures. This research aims to advance our understanding of geometric evolution and explore potential applications in areas such as fractal geometry and topological data analysis.

Sep 3, 20260 citations

Title: Quantum Topological Computing Models

Jincheng Zhang

The current limitations of traditional information theory often restrict the ability to accurately model and simulate complex systems. Quantum topological computing offers a potential paradigm shift, leveraging the unique properties of topological quantum systems to provide a fundamentally different approach to computation. This paper explores the application of quantum topological computing models, specifically focusing on the development of a novel computational framework built upon topological structures. We propose a new method for precisely calculating quantum states, particularly high-dimensional ones, by exploiting the inherent properties of these structures. The core claim of this research is that incorporating quantum topological structures into computation will enable more detailed and accurate modeling of complex systems, and a deeper understanding of the intricate connection between quantum information and topological structures. The development of this framework promises a significant advancement in computational capabilities for various fields, particularly those involving quantum systems.

Sep 5, 20260 citations

Quantum Entanglement-Based Topological Field Theory Simulation

Jincheng Zhang

This paper investigates the potential of utilizing quantum entanglement to simulate topological field theories, aiming to enhance the accuracy of understanding topological structure properties and accelerate topological computation. We explore the implementation of a novel approach where entangled states are leveraged to mimic the intricate interactions within topological systems. The core mechanism centers around exploiting the unique properties of entanglement to guide computational processes and provide a fundamentally different perspective on the simulation of these systems. This research presents a preliminary framework demonstrating the feasibility of this approach, highlighting potential advancements in topological field theory modeling.

Aug 31, 20260 citations