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Renato Portugal - Quantum Walks and Search Algorithms - 9781461463351 - V9781461463351
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Quantum Walks and Search Algorithms

€ 72.86
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Description for Quantum Walks and Search Algorithms Hardback. 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. Series: Quantum Science and Technology. Num Pages: 233 pages, 37 black & white illustrations, 4 black & white tables, biography. BIC Classification: PHQ; UY. Category: (P) Professional & Vocational. Dimension: 244 x 160 x 19. Weight in Grams: 486.

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 ... Read more

  • 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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Product Details

Format
Hardback
Publication date
2013
Publisher
Springer-Verlag New York Inc. United States
Number of pages
252
Condition
New
Series
Quantum Science and Technology
Number of Pages
222
Place of Publication
New York, NY, United States
ISBN
9781461463351
SKU
V9781461463351
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

About Renato Portugal
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 ... Read more

Reviews for Quantum Walks and Search Algorithms
From the reviews: “The reviewed book is a pedagogically oriented survey of the main results regarding quantum walks and quantum search algorithms. … The book is nicely written, the concepts are introduced naturally, and many meaningful connections between them are highlighted. The author proposes a series of exercises that help the reader get some working experience with the presented ... Read more

Goodreads reviews for Quantum Walks and Search Algorithms


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