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

euphoria

,Grover’s Algorithm and Its Generalization, order, the only available method to find a specific element is an exhaustive search. Usually, this is not the best way to use databases, especially if it is queried several times. It is better to sort the elements, which is an expensive task, but performed only once. In the context of quantum compu

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Quantum Walks on Finite Graphs,mensional version of the cycle with the form of a .. Finally, the hypercube is a generalization of the cube to dimensions greater than three. These graphs are basic ones but have interesting properties. They can be analyzed by means of the ., allowing analytical calculations, which have many useful

circumvent

exhilaration

Spatial Search Algorithms,lled by a ., so that the vertices are the places one can search and the edges are the directions to which one can move. The quantum version of this problem was analyzed by . in a very concrete way. He imagined a . that moves to adjacent nodes in a unit time. The position of the robot can be in super

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obviate

,Grover’s Algorithm and Its Generalization,ting, storing data in superposition or in an entangled state for a long period of time is not an easy task. Because of that, Grover’s algorithm is introduced following an alternative route, which shows its wide applicability.

杀菌剂

Quantum Walks on Finite Graphs,by-products in other contexts. In particular, the spectral decomposition of the quantum-walk evolution operator can be used in . on these graphs. The spectral decomposition is described in details in this chapter.

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