Discrete Quantum Walks on Graphs and Digraphs

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Discrete Quantum Walks on Graphs and Digraphs

Regular price $80.00
Condition - New
<40 In stock
Regular price $80.00
Condition - New
<40 In stock

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Summary

Written at a level suitable for graduate students in mathematics, this text develops the body of mathematical theory arising from discrete quantum walks, an important tool in quantum computing. The prerequisites are minimal; no physics background is required. It will interest all researchers working on quantum information theory.

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Discrete Quantum Walks on Graphs and Digraphs by Chris Godsil

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.
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.
SKU NIN9781009261685
ISBN 13 9781009261685
ISBN 10 1009261681
Title Discrete Quantum Walks on Graphs and Digraphs
Author Chris Godsil
Series London Mathematical Society Lecture Note Series
Condition New
Binding Type Paperback
Publisher Cambridge University Press
Year published 2023-01-12
Number of pages 300
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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