Discrete Quantum Walks on Graphs and Digraphs - Godsil, Chris

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Résumé :
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...

Biographie:
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)....

Sommaire:
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....