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Discrete Quantum Walks on Graphs and Digraphs (Paperback)
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Discrete Quantum Walks on Graphs and Digraphs (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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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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