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

Adaptive Topology Transformation for Quantum Optimization

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Abstract: This paper presents a novel approach to quantum optimization leveraging adaptive topology transformation. Traditional optimization methods often rely on manually calibrated parameters, limiting their adaptability to complex data sets. We introduce a dynamically adjusted topology transformation strategy utilizing an adaptive neural network to learn optimal transformation parameters, resulting in significantly improved geometric modeling and simulation accuracy. The core mechanism centers around the network's ability to autonomously adjust parameter values based on input data, allowing for a more refined geometric representation and enhanced model performance. The research demonstrates the effectiveness of this approach through a series of simulations, showcasing its superior capabilities compared to existing methods.

DOI
10.5281/zenodo.22272087

Related papers

Adaptive Topological Transformation Algorithm for Quantum Algorithms

Jincheng Zhang

This paper introduces a novel adaptive topological transformation algorithm designed to enhance geometric modeling and simulation capabilities. Traditional topological transformations often rely on manual parameter adjustment, limiting flexibility and precision. We propose a method leveraging VAEs to dynamically adjust transformation parameters based on input data, enabling more accurate and refined geometric representations. The core mechanism centers around a self-learning neural network trained to extract and adjust key topological features from the data. This approach addresses the limitations of existing algorithms, offering a robust and automated solution for complex geometric tasks. We demonstrate the effectiveness of this algorithm through a series of simulations, showcasing improved accuracy and efficiency in modeling intricate geometric shapes.

•Sep 3, 2026•0 citations

Adaptive Topology Quantum Geometry Optimization

Jincheng Zhang

This paper presents a novel quantum geometry optimization algorithm based on adaptive topology, designed to enhance the precision of quantum geometry modeling. Traditional methods often necessitate manual parameter tuning, limiting the algorithm's potential. Our approach dynamically adjusts geometry based on input data, offering a significant reduction in computational complexity and potentially unlocking more accurate representations of complex quantum systems. The core mechanism leverages quantum geometry optimization to iteratively refine the geometry, leading to improved modeling fidelity. We discuss the algorithm's design, implementation details, and preliminary results, demonstrating its potential for advancing quantum geometry research.

•Aug 31, 2026•0 citations

Quantum-Enhanced Adaptive Topology Geometry Optimization

Jincheng Zhang

Quantum-Enhanced Adaptive Topology Geometry Optimization is a novel framework for geometry optimization that leverages quantum algorithms to dynamically adjust parameters based on input data. The core principle centers on utilizing quantum circuits to iteratively refine geometric configurations, resulting in improved efficiency and accuracy compared to traditional optimization methods. This approach offers a promising pathway for tackling complex problems that benefit significantly from sophisticated geometric manipulation. The paper details the design of a quantum-enhanced framework, including the implementation of a specific quantum algorithm, and explores its potential for enhancing optimization performance across a range of geometric modeling tasks. We present preliminary results demonstrating the framework's effectiveness in optimizing complex shapes and demonstrating improved convergence speed and accuracy.

•Sep 3, 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

Quantum Circuit Optimization via Geometric Topology: A Novel Adaptive Optimization Approach

Jincheng Zhang

This paper introduces a novel quantum circuit optimization algorithm based on geometric topology. Traditional circuit optimization methods often rely on manual design, lacking the dynamic adaptability necessary to maintain optimal circuit performance. Our proposed algorithm leverages the inherent properties of quantum circuits, specifically their geometric topology, to dynamically adjust parameters and achieve enhanced circuit fidelity. We demonstrate the effectiveness of this approach through rigorous analysis and simulation, showcasing its ability to optimize quantum circuit designs with unprecedented precision. The core mechanism centers around constructing a dynamic topology that responds to variations in circuit parameters, ensuring a continuous and robust optimization process. This offers a significant advancement over existing methods, particularly in complex and highly parameterized quantum circuits.

•Aug 31, 2026•0 citations

基于量子态的动态拓扑变换算法

Jincheng Zhang

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.

•Sep 7, 2026•0 citations
Abstract: This paper presents a novel approach to quantum optimization leveraging adaptive topology transformation. Traditional optimization methods often rely on manually calibrated parameters, limiting their adaptability to complex data sets. We introduce a dynamically adjusted topology transformation strategy utilizing an adaptive neural network to learn optimal transformation parameters, resulting in significantly improved geometric modeling and simulation accuracy. The core mechanism centers around the network's ability to autonomously adjust parameter values based on input data, allowing for a more refined geometric representation and enhanced model performance. The research demonstrates the effectiveness of this approach through a series of simulations, showcasing its superior capabilities compared to existing methods.
This paper introduces a novel adaptive topological transformation algorithm designed to enhance geometric modeling and simulation capabilities. Traditional topological transformations often rely on manual parameter adjustment, limiting flexibility and precision. We propose a method leveraging VAEs to dynamically adjust transformation parameters based on input data, enabling more accurate and refined geometric representations. The core mechanism centers around a self-learning neural network trained to extract and adjust key topological features from the data. This approach addresses the limitations of existing algorithms, offering a robust and automated solution for complex geometric tasks. We demonstrate the effectiveness of this algorithm through a series of simulations, showcasing improved accuracy and efficiency in modeling intricate geometric shapes.
This paper presents a novel quantum geometry optimization algorithm based on adaptive topology, designed to enhance the precision of quantum geometry modeling. Traditional methods often necessitate manual parameter tuning, limiting the algorithm's potential. Our approach dynamically adjusts geometry based on input data, offering a significant reduction in computational complexity and potentially unlocking more accurate representations of complex quantum systems. The core mechanism leverages quantum geometry optimization to iteratively refine the geometry, leading to improved modeling fidelity. We discuss the algorithm's design, implementation details, and preliminary results, demonstrating its potential for advancing quantum geometry research.
Quantum-Enhanced Adaptive Topology Geometry Optimization is a novel framework for geometry optimization that leverages quantum algorithms to dynamically adjust parameters based on input data. The core principle centers on utilizing quantum circuits to iteratively refine geometric configurations, resulting in improved efficiency and accuracy compared to traditional optimization methods. This approach offers a promising pathway for tackling complex problems that benefit significantly from sophisticated geometric manipulation. The paper details the design of a quantum-enhanced framework, including the implementation of a specific quantum algorithm, and explores its potential for enhancing optimization performance across a range of geometric modeling tasks. We present preliminary results demonstrating the framework's effectiveness in optimizing complex shapes and demonstrating improved convergence speed and accuracy.
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 quantum circuit optimization algorithm based on geometric topology. Traditional circuit optimization methods often rely on manual design, lacking the dynamic adaptability necessary to maintain optimal circuit performance. Our proposed algorithm leverages the inherent properties of quantum circuits, specifically their geometric topology, to dynamically adjust parameters and achieve enhanced circuit fidelity. We demonstrate the effectiveness of this approach through rigorous analysis and simulation, showcasing its ability to optimize quantum circuit designs with unprecedented precision. The core mechanism centers around constructing a dynamic topology that responds to variations in circuit parameters, ensuring a continuous and robust optimization process. This offers a significant advancement over existing methods, particularly in complex and highly parameterized quantum circuits.
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.