Titlebook: Quantum Walks and Search Algorithms; Renato Portugal Textbook 20131st edition Springer Science+Business Media New York 2013 Abstract Searc

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2364-9054 n each chapter to use or develop computer programs for simul.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 w

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Introduction to Quantum Walks,However, it is possible to go beyond Grover’s algorithm in terms of efficiency. The best algorithm to solve the . is based on quantum walks. This problem consists in determining whether there are repeated elements in a set of elements. When Grover’s algorithm is used, the solution is less efficient.

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Limiting Distribution and Mixing Time, expression of the eigenvalues of the evolution operator. A possible way to obtain limiting configurations is to define a new distribution called ., which evolves stochastically and does not have the quasi-periodic behavior.

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Introduction to Quantum Walks,roduced in Grover’s algorithm. This technique differs from the ones used in algebraic algorithms, in which the Fourier transform plays the main role. However, it is possible to go beyond Grover’s algorithm in terms of efficiency. The best algorithm to solve the . is based on quantum walks. This prob