One-dimensional discrete-time quantum walks on random environments

  • Authors:

  • Norio Konno

  • Affiliations:

  • Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Yokohama, Japan 240-8501

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2009

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Abstract

We consider discrete-time nearest-neighbor quantum walks on random environments in one dimension. Using the method based on a path counting, we present both quenched and annealed weak limit theorems for the quantum walk.