Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Walks on Trees with Disorder: Decay, Diffusion, and Localization   Quantum walks have been shown to have impressive transport properties
compared to classical random walks. However, imperfections in the quantum walk
algorithm can destroy any quantum mechanical speed-up due to Anderson
localization. We numerically study the effect of static disorder on a quantum
walk on the glued trees graph. For small disorder, we find that the dominant
effect is a type of quantum decay, and not quantum localization. For
intermediate disorder, there is a crossover to diffusive transport, while a
localization transition is observed at large disorder, in agreement with
Anderson localization on the Cayley tree.

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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an