Scattering theory of topological phases in discrete-time quantum walks
نویسندگان
چکیده
منابع مشابه
Scattering theory and discrete-time quantum walks
We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each, and consider walks that proceed from one half line, through the graph, to the other. The probability of starting on one line and reaching the other after n steps can be expressed in terms of the transmission amplitude for the g...
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متن کاملScattering theory and quantum walks
We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are interested in walks that proceed from one half line, through the graph, to the other. The particle propagates freely on the half lines but is scattered at each vertex in the original graph. The probability of starting on...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2014
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.89.042327