基于非线性几何的量子纠缠模拟

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper presents a novel quantum entanglement simulation approach based on non-linear geometry. Traditional methods often struggle to accurately represent the dynamic behavior of entangled states, particularly for complex quantum systems. We introduce a new framework that utilizes dynamic geometric adjustments to simulate the evolution of entangled states, offering a more precise and nuanced representation of quantum phenomena. This work demonstrates the effectiveness of this approach through the simulation of entangled states in a specific, albeit simplified, system, highlighting its potential for advanced quantum simulation.

DOI: 10.5281/zenodo.22616448

Related papers

基于非线性动态拓扑结构的量子纠缠模拟

Jincheng Zhang

This paper introduces a novel quantum entanglement simulation technique based on non-linear dynamic topology. Traditional topological simulations often struggle with complex geometries, limiting their ability to accurately represent quantum systems exhibiting intricate topology. We propose a new method that embeds the quantum state description directly within the topology, enabling a fundamentally deeper understanding of quantum entanglement and control. The core mechanism involves a dynamically evolving topology that adapts to the quantum state, leading to improved fidelity and predictability in quantum state predictions. This approach overcomes limitations of traditional methods by offering a more robust and nuanced representation of quantum phenomena. We demonstrate the efficacy of this technique through simulations of entangled states exhibiting complex geometric structures, highlighting its potential to unlock new advancements in quantum information processing.

Sep 6, 20260 citations

Quantum Entanglement Geometry Simulation

Jincheng Zhang

Quantum entanglement offers a fundamentally new perspective on geometric simulations, promising enhanced precision and the ability to model complex phenomena previously inaccessible to classical approaches. This paper explores a novel framework for geometric simulation leveraging quantum entanglement, focusing on the potential to accurately represent and predict geometric properties through the subtle influence of entangled states. We propose a method that dynamically adjusts geometric transformations based on entangled correlations, aiming to bridge the gap between classical geometry and quantum mechanics. This research addresses the limitations of traditional methods by incorporating a non-linear geometric process driven by quantum entanglement. The core claim is that this framework provides a pathway towards more accurate geometric predictions and allows for a deeper understanding of geometric transformations.

Sep 3, 20260 citations

Quantum Entanglement Geometry Simulation

Jincheng Zhang

Sep 3, 20260 citations

基于非线性几何的量子纠缠模拟算法

Jincheng Zhang

Quantum entanglement is a fundamental phenomenon in quantum mechanics, exhibiting correlations between distant particles that cannot be explained by classical physics. Accurate simulation of entangled states is crucial for various applications, including quantum computing and quantum cryptography. Traditional quantum state simulation relies heavily on particle systems, which often struggle to represent the intricate nature of entangled states. This paper introduces a novel algorithm based on non-linear geometry, aiming to significantly improve the accuracy and efficiency of quantum entanglement simulation. We propose a geometric framework that visualizes entanglement as a set of non-linear curves and surfaces, allowing for more precise representation and accelerated computation. The core mechanism involves mapping the quantum state onto a non-linear geometry, enabling enhanced entanglement dynamics. This research advances the field by providing a new approach to quantum entanglement simulation that surpasses the limitations of traditional methods, opening up possibilities for more robust and efficient quantum computation.

Sep 1, 20260 citations

基于量子纠缠的非线性系统建模

Jincheng Zhang

This paper explores the potential of leveraging quantum entanglement to model complex systems exhibiting non-linear behavior. Traditional modeling approaches often struggle to accurately represent these relationships, necessitating a novel approach utilizing quantum entanglement. We propose a method that utilizes entangled states to represent the system's dynamics, employing quantum computation for simulation to gain deeper insights into the system's behavior. This research aims to advance our understanding of non-linear system dynamics through the application of quantum principles. The core claim is that this approach provides a more accurate and insightful method for modeling complex systems.

Sep 3, 20260 citations

基于动态量子纠缠的拓扑几何验证

Jincheng Zhang

This paper presents a novel approach to quantum geometry validation utilizing dynamic quantum entanglement. We propose a method that leverages the inherent properties of entangled quantum states to simulate and verify complex topological structures with unprecedented precision. Traditional topological calculations often struggle with approximation errors and require significant computational resources. This research introduces a dynamically-generated quantum state model, employing entanglement to mimic the evolution of topological phenomena, and utilizing quantum effects to precisely characterize their properties. The core mechanism focuses on establishing a robust, accurate, and accelerated computational framework for topological analysis. This work represents a significant advancement, demonstrating the potential for a fundamentally new approach to topological computation, surpassing current limitations through enhanced precision and computational efficiency.

Sep 4, 20260 citations