Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Quantum Walks and Search Algorithms (Hardcover, 2013 ed.)
Loot Price: R2,026
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Quantum Walks and Search Algorithms (Hardcover, 2013 ed.)
Series: Quantum Science and Technology
Expected to ship within 12 - 17 working days
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This book addresses an interesting area of quantum computation
called quantum walks, which play an important role in building
quantum algorithms, in particular search algorithms. Quantum walks
are the quantum analogue of classical random walks. It is known
that quantum computers have great power for searching unsorted
databases. This power extends to many kinds of searches,
particularly to the problem of finding a specific location in a
spatial layout, which can be modeled by a graph. The goal is to
find a specific node knowing that the particle uses the edges to
jump from one node to the next. This book is self-contained with
main topics that include: Grover's algorithm, describing its
geometrical interpretation and evolution by means of the spectral
decomposition of the evolution operator Analytical solutions of
quantum walks on important graphs like line, cycles,
two-dimensional lattices, and hypercubes using Fourier transforms
Quantum walks on generic graphs, describing methods to calculate
the limiting distribution and mixing time Spatial search
algorithms, with emphasis on the abstract search algorithm (the
two-dimensional lattice is used as an example) Szedgedy's
quantum-walk model and a natural definition of quantum hitting time
(the complete graph is used as an example) The reader will benefit
from the pedagogical aspects of the book, learning faster and with
more ease than would be possible from the primary research
literature. Exercises and references further deepen the reader's
understanding, and guidelines for the use of computer programs to
simulate the evolution of quantum walks are also provided.
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