Dynamic Geometric Quantization: Precise Quantum Entanglement Calculation via Topological Field Dynamics

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum entanglement is a cornerstone of quantum information processing, offering immense potential for secure communication and quantum computing. However, accurately predicting the state of entangled systems remains a significant challenge due to the inherent complexity of quantum mechanics. This paper introduces Dynamic Geometric Quantization (DGQ), a novel approach to quantum entanglement calculation that leverages the power of topological field dynamics to achieve precise predictions. We propose a method where the probability distribution governing a quantum state is treated as the parameters of a topological field, allowing us to dynamically simulate the evolution of entangled states and provide high-precision predictions. The core mechanism involves characterizing the state through a complex topological field, and then employing a dynamic process to mimic the state's evolution. This approach offers a fundamentally different perspective on entanglement analysis, potentially unlocking new avenues for understanding and forecasting quantum phenomena. The study demonstrates the effectiveness of DGQ in predicting the state of entangled systems, showcasing its potential for advancing quantum computation and information processing.

DOI: 10.5281/zenodo.22193111

Related papers

Core Claim: Utilizing topological field descriptions of quantum entanglement, develop a precise calculation method for quantum entanglement states, and perform high-precision prediction.

Jincheng Zhang

Quantum entanglement is a fundamental phenomenon with profound implications for quantum information processing. Accurate prediction of entangled states is crucial for various applications, including quantum cryptography and quantum computation. Traditional approaches to entanglement analysis often rely on complex mathematical models and approximations, limiting the precision of predictions. This paper proposes a novel computational framework based on the dynamic evolution of topological fields to precisely predict quantum entanglement states. We introduce a novel method that directly incorporates probability distributions as parameters within the topological field, enabling a more intuitive and accurate simulation of entanglement dynamics. The system is designed to handle the inherent uncertainties in quantum systems, offering a significant advancement over existing techniques. The core mechanism involves a continuous, iterative process of mapping probability distributions to the topological field, allowing for high-precision prediction of entangled state properties. This approach has the potential to dramatically improve the fidelity of entanglement analysis and contribute to more reliable quantum algorithms. We present experimental validation demonstrating the effectiveness of this approach, highlighting its advantages and limitations.

Aug 31, 20260 citations

Quantum Entanglement-Driven Topology Modeling

Jincheng Zhang

Quantum entanglement, a fundamental phenomenon in quantum mechanics, offers a unique pathway to manipulating and modeling complex topological structures. This paper explores the application of entanglement to dynamic topology modeling, aiming to provide a novel computational framework for precisely describing the evolution of these structures and achieving high-precision geometric modeling. We propose a new algorithm leveraging the properties of entangled states to transform topological problems into quantum computations, offering a potential paradigm shift in the field of topology. The core mechanism centers on utilizing entanglement to represent and evolve the topology, facilitating more accurate geometric representations than traditional methods. This work introduces a framework for dynamically exploring and characterizing topological phenomena, potentially opening new avenues for research into complex systems. The paper presents a conceptual overview of the proposed algorithm, detailing its core components and potential implications.

Sep 4, 20260 citations

Non-Linear Geometric Topology Quantum Entanglement Calculation

Jincheng Zhang

This paper explores the potential of non-linear geometric topology for quantum entanglement computation. We propose a novel model that utilizes a dynamic topological structure as a quantum state variable, employing entanglement to achieve precise calculation of complex quantum systems' topological properties. The core mechanism involves introducing a dynamic topology concept, enabling accurate manipulation of entangled states. This research aims to advance quantum computation by offering a fundamentally new approach to calculating and manipulating quantum entanglement, potentially unlocking capabilities beyond current classical methods.

Sep 7, 20260 citations

Jincheng Zhang

This paper explores the application of topological fields to the precise calculation of quantum entanglement states. We propose a novel computational approach that leverages the dynamic nature of topological fields to accurately predict the evolution and properties of entangled states. The core mechanism involves constructing a topological field representation and employing its evolution to generate and analyze entanglement predictions. This methodology offers a potentially transformative approach to quantum information processing, moving beyond traditional entanglement analysis techniques. The research focuses on achieving high precision in state prediction and providing a framework for deeper understanding of quantum entanglement.

Aug 31, 20260 citations

Dynamic Topological Geometry Algorithm, Based on Quantum Entanglement of Topology

Jincheng Zhang

This paper introduces a novel dynamic topological geometry algorithm based on quantum entanglement of topology. Traditional methods struggle to accurately model and predict complex topological structures, particularly in situations involving non-uniform topology. This algorithm leverages quantum entanglement to identify and simulate key information within the topology, offering a significant improvement in precision and efficiency compared to conventional approaches. We detail the core mechanism, including the implementation of a quantum measurement protocol to extract topological information, and demonstrate its effectiveness through simulations of complex topological systems. This work presents a fundamentally new approach to topological analysis, potentially revolutionizing the field with its enhanced computational capabilities.

Sep 7, 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