商品描述
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.
商品描述(中文翻譯)
這本書探討量子計算與網路科學的交集。它將量子隨機漫步演算法的理論基礎與其在複雜網路的結構探索和表示學習中的應用相結合。
量子隨機漫步是一項對於通用量子計算模型至關重要的技術,研究粒子在由節點和連結組成的圖上的運動。量子疊加使這些粒子能夠更快速地穿越這些圖,而測量引起的崩潰則引入了波動,使得識別關鍵節點變得既具挑戰性又引人入勝。本書的核心在於探討量子隨機漫步演算法如何改變複雜網路的結構和表示分析。它首先介紹量子計算和量子隨機漫步的基本概念,包括廣義定義和低維量子隨機漫步的特性。接著,討論離散時間和連續時間量子隨機漫步在挖掘網路節點、連結和子圖中的實現,以及它們在網路表示學習和圖神經網路中的應用。
本書將成為對於有興趣於量子隨機漫步、複雜網路、量子力學和資訊工程的研究人員、學生和教育工作者的重要參考資料。
作者簡介
Fei Yan, PhD, is a professor at the School of Computer Science and Technology, Changchun University of Science and Technology, China. He holds a PhD in Engineering from the Tokyo Institute of Technology, Japan. His research interests include quantum information processing, complex networks, and image processing.
Wen Liang, PhD, is an associate professor at the School of Information Science and Engineering, Shenyang Ligong University, China. He holds a PhD in Engineering from the Changchun University of Science and Technology, China. His research interests include complex networks and quantum walks.
Fangyan Dong, PhD, is a professor at the Faculty of Mechanical Engineering and Mechanics, Ningbo University, China. She holds a PhD in Engineering from the Tokyo Institute of Technology, Japan. Her research interests include computational intelligence, fuzzy systems, and quantum computing.
作者簡介(中文翻譯)
費燕,博士,為中國長春科技大學計算機科學與技術學院的教授。他擁有日本東京工業大學的工程博士學位。他的研究興趣包括量子資訊處理、複雜網路和影像處理。
文亮,博士,為中國瀋陽理工大學資訊科學與工程學院的副教授。他擁有中國長春科技大學的工程博士學位。他的研究興趣包括複雜網路和量子隨機漫步。
方妍董,博士,為中國寧波大學機械工程與力學學院的教授。她擁有日本東京工業大學的工程博士學位。她的研究興趣包括計算智能、模糊系統和量子計算。