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Quantum-Inspired Graph Partitioning for Data Clustering

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

Quantum-inspired graph partitioning offers a novel approach to data clustering, leveraging the principles of quantum mechanics to potentially enhance clustering accuracy and efficiency, particularly in high-dimensional datasets. This paper explores the potential of quantum algorithms to partition data space more effectively, addressing limitations of traditional clustering techniques. We investigate how quantum-inspired graph partitioning could improve the quality of cluster assignments, offering a promising avenue for advancements in data analysis and pattern recognition. The research focuses on the theoretical design and potential implementation of a quantum-based graph partitioning method, with an emphasis on its ability to handle high-dimensional data effectively. The paper will detail the core mechanism of the proposed approach, analyze its potential benefits, and discuss the challenges and future directions of research in this area.

DOI
10.5281/zenodo.22577399

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Quantum-inspired graph partitioning offers a novel approach to data clustering, leveraging the principles of quantum mechanics to potentially enhance clustering accuracy and efficiency, particularly in high-dimensional datasets. This paper explores the potential of quantum algorithms to partition data space more effectively, addressing limitations of traditional clustering techniques. We investigate how quantum-inspired graph partitioning could improve the quality of cluster assignments, offering a promising avenue for advancements in data analysis and pattern recognition. The research focuses on the theoretical design and potential implementation of a quantum-based graph partitioning method, with an emphasis on its ability to handle high-dimensional data effectively. The paper will detail the core mechanism of the proposed approach, analyze its potential benefits, and discuss the challenges and future directions of research in this area.
Graph partitioning is a fundamental problem in computer science, with applications ranging from high-performance computing to image processing and data analytics. Traditional graph partitioning algorithms often struggle with scalability, particularly when dealing with large, complex graphs. This paper proposes a novel quantum-inspired graph partitioning algorithm designed to address these limitations. The core idea is to mimic the principles of quantum superposition and entanglement to explore the entire solution space simultaneously. The algorithm utilizes probabilistic methods to navigate this space and converge towards a near-optimal partitioning, offering potential improvements in efficiency and scalability compared to conventional methods. The methodology introduces a scoring function based on graph cut metrics and probabilistic routing to simulate quantum interference, ultimately leading to a more effective partitioning. The performance of the algorithm is evaluated through simulations, demonstrating its potential to significantly reduce the computational cost of graph partitioning for large-scale systems. Further research will focus on optimizing the probabilistic routing and exploring different quantum-inspired techniques.
High-dimensional data presents significant challenges to traditional clustering algorithms due to the "curse of dimensionality," leading to sparsity issues, increased computational complexity, and reduced cluster quality. This research investigates the application of quantum-inspired algorithms to enhance clustering performance in these scenarios. We propose a novel clustering framework leveraging concepts from quantum annealing and quantum walks to efficiently explore the feature space and identify clusters. The core idea is to mimic the probabilistic and superposition properties of quantum systems within the clustering process, allowing for more nuanced exploration of potential cluster configurations. The algorithms are designed to mitigate the effects of dimensionality by introducing stochastic search strategies and exploiting correlations between features. We evaluate the effectiveness of these algorithms on benchmark datasets, demonstrating improved clustering accuracy and reduced computational cost compared to established classical methods. The research highlights the potential of quantum-inspired approaches as a viable solution for high-dimensional clustering problems.
Traditional clustering algorithms, such as k-means and DBSCAN, often face significant challenges when applied to big data. The computational complexity associated with distance calculations and nearest neighbor searches scales poorly with dataset size, limiting their effectiveness. This paper proposes a novel approach to clustering inspired by quantum measurement theory, specifically quantum-inspired nearest neighbor search. We leverage concepts from quantum mechanics, such as superposition and measurement, to design clustering algorithms that can efficiently identify clusters within high-dimensional datasets. The core idea is to treat the clustering problem as a measurement process, where candidate cluster centers are repeatedly measured against data points, and the most likely cluster centers are selected. The resulting algorithms aim to provide scalability improvements over conventional methods, particularly for datasets with a large number of features and data points. The effectiveness of the proposed algorithms is demonstrated through theoretical analysis and conceptual explanations, highlighting the potential benefits and future research directions.
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This paper explores the potential of quantum-inspired data structures to revolutionize parallel processing, specifically focusing on design principles that mimic the phenomena of quantum entanglement. The core claim is that by leveraging data structures that inherently exploit these principles, we can significantly enhance the efficiency of parallel computations, particularly for large datasets. We investigate several promising data structure types – quantum walks and entanglement graphs – and analyze their potential to optimize data access and communication in parallel environments. The paper details the theoretical underpinnings of these structures, proposes an optimization strategy, and discusses the challenges and future research directions for this emerging field.