量子ウォークを用いた複雑系の探究 Exploring Complex Networks with Quantum Walks

Yan, Fei/ Liang, Wen/ Dong, Fangyan

CRC Press（2025/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 194 p.
• 言語 ENG
• 商品コード 9781041153849
• DDC分類 006.3843

Full Description

This book explores the intersection of quantum computing and network science. It bridges the theoretical foundations of quantum walk algorithms with their applications in the structural exploration and representation learning of complex networks.

Quantum walks, a technology that is pivotal to universal quantum computational models, examines the movement of particles on a graph composed of nodes and links. Quantum superposition enables these particles to traverse these graphs more quickly, while measurement-induced collapse introduces fluctuations, making the identification of critical nodes challenging yet intriguing. At its core, the book explores how quantum walk algorithms can transform the structural and representational analysis of complex networks. It begins by introducing the fundamental concepts of quantum computing and quantum walks, including generalized definitions and the properties of low-dimensional quantum walks. Then, it discusses the implementation of discrete- and continuous-time quantum walks for mining network nodes, links, and subgraphs, as well as their use in network representation learning and graph neural networks.

The book will serve as a valuable reference for researchers, students, and educators interested in quantum walks, complex networks, quantum mechanics, and information engineering.

Contents

1. Quantum Computing and Quantum Walks 2. Foundational Theory of Quantum Walks 3. Applications of Quantum Walks in Node Discovery 4. Applications of Quantum Walks in Link Mining 5. Applications of Quantum Walks in Community Detection 6. Applications of Quantum Walks in Network Representation Learning 7. Conclusions