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Quantum Walks on Infinite Graphs

  • Renato Portugal
Chapter
Part of the Quantum Science and Technology book series (QST)

Abstract

Quantum walks on the line were introduced in Sect. 3.2 in order to highlight some features, which are strikingly different from the classical random walks. In this Chapter, we present in detail the analytical calculation of the state of quantum walks on the line. This calculation is a model for the study of quantum walks on many types of graphs. The Fourier transform is the key to the success of this calculation.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Renato Portugal
    • 1
  1. 1.Department of Computer ScienceNational Laboratory of Scientific Computing (LNCC)PetrópolisBrazil

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