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arxiv: 0904.0392 · v4 · submitted 2009-04-02 · 🪐 quant-ph

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One-dimensional discrete-time quantum walks on random environments

Norio Konno
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classification 🪐 quant-ph
keywords quantumdiscrete-timeenvironmentsrandomwalksannealedconsidercounting
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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.

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    Sufficient conditions are proven for zero velocity in position-dependent 1D quantum walks via an a priori velocity bound depending on sparse site sequences and local coin parameters, with extensions to random cases an...