One-dimensional discrete-time quantum walks on random environments

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.

12 pages, minor corrections, Journal-ref added

References in corpus (4)

• Quantum Walks on a Random Environment
• Quantum speedup of classical mixing processes
• Almost uniform sampling via quantum walks
• Decoherence induced by a chaotic environment: A quantum walker with a complex coin

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• Limit Theorems for the Fibonacci Quantum Walk
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• Spectral analysis of discrete-time quantum walks in the quarter plane
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