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Q&A | February 27, 2014

Rene Denfeld: IMG Powell’s Q&A: Rene Denfeld



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    The Enchanted

    Rene Denfeld 9780062285508

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Other titles in the Quantum Science and Technology series:

Quantum Walks and Search Algorithms (Quantum Science and Technology)

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Quantum Walks and Search Algorithms (Quantum Science and Technology) Cover

 

Synopses & Reviews

Publisher Comments:

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 operaterAnalytical 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.

Synopsis:

This book explores quantum walks, which are important in building quantum algorithms. Coverage includes Grover's algorithm; Analytical solutions of quantum walks using Fourier transforms; Quantum walks on generic graphs; Spatial search algorithms and more.

About the Author

Dr. Renato Portugal is Researcher in the Department of Computer Science at the National Laboratory for Scientific Computing (LNCC). His past positions include Visiting Professor in the Department of Applied Mathematics and the Symbolic Computation Group at the University of Waterloo, Visiting Professor in the Department of Physics at Queen's University of Kingston, and Researcher at the Brazilian Center for Research in Physics. He received his D.Sc. at the Centro Brasileiro de Pesquisas Fisicas, CBPF, Brazil. He has published 40 articles in Scientific Journals, 3 books, and

Table of Contents

Introduction.- The Postulates of Quantum Mechanics.- Introduction to Quantum Walks.- Grover's Algorithm and its Generalization.- Quantum Walks on Infinite Graphs.- Quantum Walks on Finite Graphs.- Limiting Distribution and Mixing Time.- Spatial Algorithms.- Hitting Time.- Appendix: Linear Algebra for Quantum Computation.

Product Details

ISBN:
9781461463351
Author:
Portugal, Renato
Publisher:
Springer
Author:
ato
Author:
Portugal, Ren
Subject:
Quantum Theory
Subject:
Abstract Search Algorithms
Subject:
Continuous-time Algorithms
Subject:
Grover s Algorithm
Subject:
quantum algorithms
Subject:
Quantum Hitting Times
Subject:
Quantum Markov Chains
Subject:
Quantum Mixing Times
Subject:
Quantum Search Algorithms
Subject:
Quantum Walks on Graphs
Subject:
Szegedy s Quantum-walk Model
Subject:
Quantum physics.
Subject:
Quantum computing
Subject:
Theory of computation
Subject:
Quantum Information Technology, Spintronics
Subject:
Personal Computers-General
Copyright:
Edition Description:
2013
Series:
Quantum Science and Technology
Publication Date:
20130430
Binding:
HARDCOVER
Language:
English
Pages:
234
Dimensions:
235 x 155 mm

Related Subjects

Computers and Internet » Computers Reference » General
Computers and Internet » Internet » Information
Computers and Internet » Personal Computers » General
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Physics
Science and Mathematics » Physics » Quantum Mechanics

Quantum Walks and Search Algorithms (Quantum Science and Technology) Used Hardcover
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Product details 234 pages Springer - English 9781461463351 Reviews:
"Synopsis" by , This book explores quantum walks, which are important in building quantum algorithms. Coverage includes Grover's algorithm; Analytical solutions of quantum walks using Fourier transforms; Quantum walks on generic graphs; Spatial search algorithms and more.
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