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math-phAug 31, 2011
authors
  • Clement Ampadu
institutions
  • University of West Georgia
arXiv abstractPDF
paper

Limit Theorems for the Disordered Quantum Walk

arXiv:1108.6110

Abstract

We study the disordered quantum walk in one dimension, and obtain the weak limit theorem.

Contains an open problem

References in corpus (13)

  • Quantum Walks on a Random Environment
  • Topological phases and delocalization of quantum walks in random environments
  • Disordered quantum walk-induced localization of a Bose-Einstein condensate
  • Coined quantum walks on percolation graphs
  • Excitonic diffusion length in complex quantum systems: The effects of disorder and environmental fluctuations on symmetry-enhanced supertransfer
  • Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory
  • Asymptotic evolution of quantum walks on the N-cycle subject to decoherence on both the coin and position degrees of freedom
  • Transport efficiency in topologically disordered networks with environmentally induced diffusion
  • Limit Theorems For Quantum Walks Associated with Hadamard Matrices
  • Quantum random walks and thermalisation
  • Two-state quantum walk on two- and three-dimensional lattices
  • Limit Theorems For the Grover Walk Without Memory
  • Limit Theorems for the Fibonacci Quantum Walk
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