Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

基于量子态的动态拓扑变换算法

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

This paper presents a novel dynamic topology transformation algorithm based on quantum state adaptation. Traditional topology transformation algorithms are often static, limiting their efficiency and generalization capabilities. We propose an algorithm that leverages quantum state dynamics to dynamically adjust transformation parameters during optimization, aiming to achieve superior local optima. The core of this approach is the implementation of a quantum-enhanced adaptation mechanism that continuously refines the transformation process, leading to improved solution quality. We demonstrate the effectiveness of this algorithm through a series of illustrative examples, showcasing its ability to overcome limitations of conventional methods. The algorithm's potential impact extends to a wide range of optimization problems, particularly those involving complex geometries and constraints.

DOI
10.5281/zenodo.22634078

Related papers

基于自适应量子拓扑的自适应几何优化算法

Jincheng Zhang

This paper introduces a novel adaptive geometric optimization algorithm based on quantum topology. Traditional geometric optimization methods often rely on fixed parameter settings, limiting their ability to effectively address complex geometric problems. This paper proposes a new algorithm that dynamically adjusts geometric optimization parameters based on the problem's characteristics, enabling more efficient optimization. We leverage the inherent adaptability of quantum topology to achieve this dynamic adjustment. The core mechanism involves utilizing quantum topological properties to iteratively refine geometric parameters, leading to improved solutions compared to conventional methods. We demonstrate the effectiveness of our algorithm through several illustrative examples, showcasing its ability to handle challenging geometric configurations.

•Aug 31, 2026•0 citations

基于量子拓扑的动态拓扑几何变形

Jincheng Zhang

This paper introduces a novel dynamic topology geometric transformation algorithm based on quantum topology. Traditional topological transformation methods often rely on static transformations, limiting their flexibility and efficiency. We propose a method that dynamically adjusts the topology of a system, leveraging the unique properties of quantum topology to achieve transformative changes. This algorithm aims to provide a more adaptable and powerful approach to complex system manipulation. The core mechanism involves a continuous, iterative process of quantum state manipulation, resulting in significant improvements in the transformation speed and the ability to handle intricate geometric arrangements. We demonstrate the effectiveness of this approach through simulations illustrating the dynamic transformation of a 2D lattice structure.

•Sep 4, 2026•0 citations

基于动态量子态的自适应优化算法

Jincheng Zhang

This paper introduces a novel optimization algorithm based on dynamic quantum states. Traditional optimization methods are often static, limiting their effectiveness in complex and dynamic problems. We propose a new algorithm that leverages the inherent quantum state dynamics to dynamically adjust the optimization target, enabling a more efficient and adaptable optimization process. This approach aims to overcome the limitations of conventional algorithms by introducing a mechanism that continuously refines the solution space through quantum state manipulations. The core of the algorithm lies in the creation and manipulation of quantum states, which are then used to guide the optimization process. The presented method demonstrates improved performance compared to existing optimization techniques, particularly in scenarios with high dimensionality and complex objective functions. This work explores the potential of utilizing quantum phenomena to enhance optimization strategies.

•Sep 6, 2026•0 citations

基于量子自适应的拓扑变换算法

Jincheng Zhang

Quantum-inspired topology transformations are a burgeoning field with the potential to revolutionize computational geometry and related tasks. This paper introduces a novel algorithm, termed "Quantum Adaptive Topology Transform" (QATT), leveraging quantum entanglement and quantum computation to dynamically adjust transformation parameters, thereby significantly enhancing the efficiency of topology transformations. We demonstrate the effectiveness of QATT through rigorous analysis and practical implementation, highlighting its ability to overcome limitations of traditional approaches. The core mechanism centers around a quantum state evolution process that iteratively refines transformation parameters based on a feedback loop, leading to improved results with minimal computational overhead. This work presents a fundamentally new approach to topology transformations, offering a promising pathway towards more efficient and versatile algorithms.

•Sep 5, 2026•0 citations

Adaptive Quantum State Topology Optimization Algorithm

Jincheng Zhang

This paper introduces an adaptive quantum state topology optimization algorithm designed to enhance quantum computing efficiency by dynamically adjusting quantum state parameters based on the system's evolving topology. Traditional optimization methods often rely on static parameters, limiting their ability to effectively handle dynamic topology. We propose a novel approach that leverages a quantum state's 'topological deformation' process to optimize quantum state parameters, resulting in improved performance. This algorithm utilizes a feedback mechanism to continuously refine the quantum state, addressing a significant limitation of existing approaches. The core mechanism involves a continuous transformation of the quantum state, guided by an optimization criterion, to achieve optimal performance within a defined range of possible states. This paper details the algorithm's design, validation through simulations, and potential future enhancements.

•Aug 31, 2026•0 citations

基于量子纠缠的拓扑几何的自适应优化算法

Jincheng Zhang

This paper introduces a novel optimization algorithm based on quantum entanglement, termed "Quantum-Adaptive Topological Optimization" (QATO). Traditional optimization methods often rely on static parameters, limiting their adaptability and potential for improved performance. QATO leverages the unique properties of quantum entanglement to dynamically adjust the optimization landscape, resulting in enhanced solution quality and speed. The algorithm employs a quantum state representation to capture the inherent structure of the problem, allowing for a continuous, self-correcting optimization process. The core mechanism involves the creation of entangled states, which evolve as the optimization progresses, guiding the algorithm towards optimal solutions. This approach significantly surpasses the capabilities of conventional optimization techniques, particularly in complex and non-convex optimization problems. This work presents a theoretical framework and initial experimental validation demonstrating the effectiveness of QATO in several benchmark optimization tasks.

•Aug 29, 2026•0 citations
This paper presents a novel dynamic topology transformation algorithm based on quantum state adaptation. Traditional topology transformation algorithms are often static, limiting their efficiency and generalization capabilities. We propose an algorithm that leverages quantum state dynamics to dynamically adjust transformation parameters during optimization, aiming to achieve superior local optima. The core of this approach is the implementation of a quantum-enhanced adaptation mechanism that continuously refines the transformation process, leading to improved solution quality. We demonstrate the effectiveness of this algorithm through a series of illustrative examples, showcasing its ability to overcome limitations of conventional methods. The algorithm's potential impact extends to a wide range of optimization problems, particularly those involving complex geometries and constraints.
This paper introduces a novel adaptive geometric optimization algorithm based on quantum topology. Traditional geometric optimization methods often rely on fixed parameter settings, limiting their ability to effectively address complex geometric problems. This paper proposes a new algorithm that dynamically adjusts geometric optimization parameters based on the problem's characteristics, enabling more efficient optimization. We leverage the inherent adaptability of quantum topology to achieve this dynamic adjustment. The core mechanism involves utilizing quantum topological properties to iteratively refine geometric parameters, leading to improved solutions compared to conventional methods. We demonstrate the effectiveness of our algorithm through several illustrative examples, showcasing its ability to handle challenging geometric configurations.
This paper introduces a novel dynamic topology geometric transformation algorithm based on quantum topology. Traditional topological transformation methods often rely on static transformations, limiting their flexibility and efficiency. We propose a method that dynamically adjusts the topology of a system, leveraging the unique properties of quantum topology to achieve transformative changes. This algorithm aims to provide a more adaptable and powerful approach to complex system manipulation. The core mechanism involves a continuous, iterative process of quantum state manipulation, resulting in significant improvements in the transformation speed and the ability to handle intricate geometric arrangements. We demonstrate the effectiveness of this approach through simulations illustrating the dynamic transformation of a 2D lattice structure.
This paper introduces a novel optimization algorithm based on dynamic quantum states. Traditional optimization methods are often static, limiting their effectiveness in complex and dynamic problems. We propose a new algorithm that leverages the inherent quantum state dynamics to dynamically adjust the optimization target, enabling a more efficient and adaptable optimization process. This approach aims to overcome the limitations of conventional algorithms by introducing a mechanism that continuously refines the solution space through quantum state manipulations. The core of the algorithm lies in the creation and manipulation of quantum states, which are then used to guide the optimization process. The presented method demonstrates improved performance compared to existing optimization techniques, particularly in scenarios with high dimensionality and complex objective functions. This work explores the potential of utilizing quantum phenomena to enhance optimization strategies.
Quantum-inspired topology transformations are a burgeoning field with the potential to revolutionize computational geometry and related tasks. This paper introduces a novel algorithm, termed "Quantum Adaptive Topology Transform" (QATT), leveraging quantum entanglement and quantum computation to dynamically adjust transformation parameters, thereby significantly enhancing the efficiency of topology transformations. We demonstrate the effectiveness of QATT through rigorous analysis and practical implementation, highlighting its ability to overcome limitations of traditional approaches. The core mechanism centers around a quantum state evolution process that iteratively refines transformation parameters based on a feedback loop, leading to improved results with minimal computational overhead. This work presents a fundamentally new approach to topology transformations, offering a promising pathway towards more efficient and versatile algorithms.
This paper introduces an adaptive quantum state topology optimization algorithm designed to enhance quantum computing efficiency by dynamically adjusting quantum state parameters based on the system's evolving topology. Traditional optimization methods often rely on static parameters, limiting their ability to effectively handle dynamic topology. We propose a novel approach that leverages a quantum state's 'topological deformation' process to optimize quantum state parameters, resulting in improved performance. This algorithm utilizes a feedback mechanism to continuously refine the quantum state, addressing a significant limitation of existing approaches. The core mechanism involves a continuous transformation of the quantum state, guided by an optimization criterion, to achieve optimal performance within a defined range of possible states. This paper details the algorithm's design, validation through simulations, and potential future enhancements.
This paper introduces a novel optimization algorithm based on quantum entanglement, termed "Quantum-Adaptive Topological Optimization" (QATO). Traditional optimization methods often rely on static parameters, limiting their adaptability and potential for improved performance. QATO leverages the unique properties of quantum entanglement to dynamically adjust the optimization landscape, resulting in enhanced solution quality and speed. The algorithm employs a quantum state representation to capture the inherent structure of the problem, allowing for a continuous, self-correcting optimization process. The core mechanism involves the creation of entangled states, which evolve as the optimization progresses, guiding the algorithm towards optimal solutions. This approach significantly surpasses the capabilities of conventional optimization techniques, particularly in complex and non-convex optimization problems. This work presents a theoretical framework and initial experimental validation demonstrating the effectiveness of QATO in several benchmark optimization tasks.