Discrete Quantum Walks on Graphs and Digraphs
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
1009261681
ISBN-13
9781009261685
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 12th, 2023
Print length
300 Pages
Weight
234 grams
Dimensions
15.20 x 22.90 x 1.30 cms
Product Classification:
Set theoryAlgebraCombinatorics & graph theoryAlgorithms & data structures
Ksh 11,150.00
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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.
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.
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