##基于量子纠缠的非对称几何结构研究

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum entanglement, a fundamental phenomenon in quantum mechanics, holds significant potential for revolutionizing our understanding of geometry and its properties. This paper explores the application of quantum entanglement to the study of non-symmetric geometric structures, proposing a novel framework utilizing entangled states to guide the formation of new geometric models. We investigate how entanglement can induce subtle, yet pervasive, geometric distortions within a system, ultimately leading to the emergence of unexpected and complex geometries. The core mechanism focuses on leveraging entanglement as a "quantum substrate" to induce geometric transformations. This research aims to demonstrate the potential of entanglement to reveal new geometric properties and construct novel geometric models, pushing beyond traditional geometric constraints. The study will be guided by the core claim that entanglement can generate non-symmetric geometric structures, and will employ algorithmic techniques to explore and manipulate these structures. The paper concludes with a discussion of the implications of this research for both theoretical and computational geometry.

DOI: 10.5281/zenodo.22601729

Related papers

Quantum Entanglement: A Non-Classical Geometric Paradigm

Jincheng Zhang

Quantum entanglement, a cornerstone of quantum mechanics, presents a unique challenge to conventional classical geometry. This paper explores the potential of utilizing entangled states as fundamental building blocks for computation, proposing a novel geometric paradigm based on entangled states. We introduce a non-classical geometric model that leverages the properties of entanglement to simulate complex geometric structures and topological relationships. This model emphasizes the application of geometric transformations driven by entangled states to achieve precise control over these structures. The core mechanism involves the design of an entanglement-based geometric transformation algorithm, offering a fundamentally different approach to computational geometry compared to traditional methods. We demonstrate the feasibility of this approach through illustrative examples and present a conceptual framework for future research. This work aims to push the boundaries of quantum computation by integrating the inherently non-classical nature of entanglement into the core of geometric processing.

Aug 31, 20260 citations

Quantum Entanglement Geometry: A Computational Model

Jincheng Zhang

Quantum entanglement, a fundamental phenomenon in quantum mechanics, holds immense potential for revolutionizing computation and information processing. This research explores the application of quantum entanglement to geometric computation, proposing a novel computational model centered around the manipulation of entangled states. The core claim is to develop a framework for simulating quantum entanglement's properties and behavior, and to introduce a new computational method based on this model. The model leverages the unique characteristics of entangled states to guide calculations and offers a pathway towards enhanced computational capabilities. This work represents a significant step towards unlocking the full potential of quantum entanglement in geometric analysis.

Sep 2, 20260 citations

基于量子纠缠的非线性几何拓扑分析

Jincheng Zhang

Quantum entanglement, a cornerstone of quantum mechanics, has recently emerged as a potentially transformative tool for advanced mathematical research, particularly within the field of geometry. This paper investigates the application of entanglement to non-linear geometric topology, proposing a novel framework based on the concept of "entangled geometry." We explore how entanglement can be leveraged to create and analyze complex geometric structures, offering a pathway towards enhanced computational capabilities and a deeper understanding of fundamental topological properties. The core claim centers around the development of a method utilizing entangled geometric forms to represent and manipulate geometric relationships, leading to novel insights into non-linear topology. This work will detail the conceptual foundation, mathematical formulations, and preliminary experimental explorations that demonstrate the potential of this approach.

Aug 31, 20260 citations

Quantum Entanglement Geometry

Jincheng Zhang

Quantum entanglement, a cornerstone of quantum mechanics, presents a fascinating and potentially transformative concept for geometric study. This paper proposes a novel approach to understanding entanglement as a geometric phenomenon, exploring its inherent properties and their impact on spatial geometry. We hypothesize that entanglement can be modeled as a non-local geometric structure, leading to unique mathematical and computational implications for quantum information theory. We introduce a quantum geometry algorithm designed to investigate the intricate relationships between entangled states and the underlying geometric structure. This research aims to push the boundaries of quantum geometry, offering a new framework for analyzing and manipulating entangled systems.

Sep 6, 20260 citations

Quantum Entanglement Geometry: A Novel Approach to Quantum Computation

Jincheng Zhang

Quantum entanglement, a cornerstone of quantum mechanics, holds immense potential for revolutionizing computation. This paper explores the application of non-linear geometry to quantum entanglement, aiming to unlock its transformative capabilities beyond classical computation. We propose a new quantum computation model that leverages geometric constraints to manipulate and enhance entanglement, leading to a deeper understanding of quantum correlations. This research will investigate how carefully crafted geometric structures can be employed to mitigate decoherence and promote the exploration of unique entanglement properties. The core claim is that developing this framework will significantly advance the potential for quantum computation and provide a path towards surpassing the limitations of traditional algorithms.

Sep 7, 20260 citations

Based on Quantum Entanglement: Geometric Topology

Jincheng Zhang

Quantum entanglement, a fundamental phenomenon in quantum mechanics, has captivated researchers and fueled significant interest in its potential applications. This paper explores the intersection of quantum entanglement and geometric topology, proposing a novel model that leverages entanglement to simulate the evolution of topological structures and investigate its impact on geometric properties. The research aims to investigate how entanglement, a non-classical correlation, can influence the formation and stability of geometric topologies, potentially offering insights into the design of novel quantum algorithms and quantum information protocols. We present a theoretical framework that utilizes quantum computation to model geometric transformations induced by entanglement, with the goal of uncovering new patterns and properties of topological spaces. The core mechanism centers around the simulation of entanglement-induced topological phase transitions, and its potential to reveal hidden geometric structures.

Sep 7, 20260 citations