Quantum walks and search algorithms
著者
書誌事項
Quantum walks and search algorithms
（Quantum science and technology）
Springer, c2018
2nd ed.
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注記
Includes bibliographical references (p. 289-302) and index
内容説明・目次
内容説明
The revised edition of this book offers an extended overview of quantum walks and explains their role in building quantum algorithms, in particular search algorithms.
Updated throughout, the book focuses on core topics including Grover's algorithm and the most important quantum walk models, such as the coined, continuous-time, and Szedgedy's quantum walk models. There is a new chapter describing the staggered quantum walk model. The chapter on spatial search algorithms has been rewritten to offer a more comprehensive approach and a new chapter describing the element distinctness algorithm has been added. There is a new appendix on graph theory highlighting the importance of graph theory to quantum walks.
As before, the reader will benefit from the pedagogical elements of the book, which include exercises and references to deepen the reader's understanding, and guidelines for the use of computer programs to simulate the evolution of quantum walks.
Review of the first edition:
"The book is nicely written, the concepts are introduced naturally, and many meaningful connections between them are highlighted. The author proposes a series of exercises that help the reader get some working experience with the presented concepts, facilitating a better understanding. Each chapter ends with a discussion of further references, pointing the reader to major results on the topics presented in the respective chapter." - Florin Manea, zbMATH.
目次
1 Introduction2 The Postulates of Quantum Mechanics3 Introduction to Quantum Walks4 Grover's Algorithm and Its Generalization5 Coined Walks on Infinite Lattices6 Coined Walks with Cyclic Boundary Conditions7 Coined Quantum Walks on Graphs8 Staggered Model9 Spatial Search Algorithms10 Element Distinctness
11 Szegedy's Quantum WalkA Linear Algebra for Quantum ComputationB Graph Theory for Quantum WalkC Classical Hitting Time
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