Discrete Quantum Walks on Graphs and Digraphs

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Chris Godsil (University of Waterloo, Ontario) Hanmeng Zhan (Simon Fraser University, British Columbia)

Discrete Quantum Walks on Graphs and Digraphs

Chris Godsil (University of Waterloo, Ontario), Hanmeng Zhan (Simon Fraser University, British Columbia)

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English

Cambridge University Press
12 January 2023

Set theory; Algebra; Combinatorics & graph theory; Algorithms & data structures

Series: London Mathematical Society Lecture Note Series

Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grover's search algorithm. These walks are constructed on an underlying graph, and so there is a relation between properties of walks and properties of the graph. This book studies the mathematical problems that arise from this connection, and the different classes of walks that arise. Written at a level suitable for graduate students in mathematics, the only prerequisites are linear algebra and basic graph theory; no prior knowledge of physics is required. The text serves as an introduction to this important and rapidly developing area for mathematicians and as a detailed reference for computer scientists and physicists working on quantum information theory.

By: Chris Godsil (University of Waterloo Ontario), Hanmeng Zhan (Simon Fraser University, British Columbia)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 230mm, Width: 152mm, Spine: 9mm
Weight: 230g
ISBN: 9781009261685
ISBN 10: 1009261681
Series: London Mathematical Society Lecture Note Series
Pages: 300
Publication Date: 12 January 2023
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

Chris Godsil is Distinguished Professor Emeritus at the University of Waterloo. He has written three books: Algebraic Combinatorics (1993), Algebraic Graph Theory (2004, co-authored with Gordon Royle) and The Erdos-Ko-Rado Theorem: Algebraic Approaches (2015, co-authored with Karen Meagher). Hanmeng Zhan is Postdoc Fellow at Simon Fraser University. For her thesis on discrete quantum walks via algebraic graph theory, she received two awards from University of Waterloo: the University Finalist for the Governor General's Gold Medal and the Inaugural Mathematics Doctoral Prize.