Green-function approach for scattering quantum walks
نویسندگان
چکیده
منابع مشابه
Modifying quantum walks: A scattering theory approach
We show how to construct discrete-time quantum walks on directed, Eulerian graphs. These graphs have tails on which the particle making the walk propagates freely, and this makes it possible to analyze the walks in terms of scattering theory. The probability of entering a graph from one tail and leaving from another can be found from the scattering matrix of the graph. We show how the scatterin...
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A number of classical algorithms are based on random walks on graphs. It is hoped that recently defined quantum walks can serve as the basis for quantum algorithms that will faster than the corresponding classical ones. We discuss a particular kind of quantum walk on a general graph. We affix two semi-infinite lines to a general finite graph, which we call tails. On the tails, the particle maki...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2011
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.84.042343