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portada quantum walks and search algorithms
Type
Physical Book
Author
Publisher
Year
2013
Language
English
Pages
222
Format
Hardcover
Dimensions
23.4 x 15.6 x 1.4 cm
Weight
0.51 kg.
ISBN
1461463351
ISBN13
9781461463351
Categories

quantum walks and search algorithms

Renato Portugal (Author) · Springer · Hardcover

quantum walks and search algorithms - Portugal, Renato

New Book Imported to Taiwan
Delivery: 04 Sep - 14 Sep Shipping: 4 to 5 business days.
NT$ 2,656
NT$ 2,656

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Synopsis "quantum walks and search algorithms"

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 operatorAnalytical solutions of quantum walks on important graphs like line, cycles, two-dimensional lattices, and hypercubes using Fourier transformsQuantum walks on generic graphs, describing methods to calculate the limiting distribution and mixing timeSpatial 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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