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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.2 Special issue, December 2002 |
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Limit
theorems and absorption problems for quantum radom walks in one
dimension (pp578-595)
N. Konno
doi:
https://doi.org/10.26421/QIC2.s-7
Abstracts:
In this paper we consider limit theorems, symmetry of
distribution, and absorption problems for two types of one-dimensional
quantum random walks determined by $2 \times 2$ unitary matrices using
our PQRS method. The one type was introduced by Gudder in 1988, and the
other type was studied intensively by Ambainis et
al. in
2001. The difference between both types of quantum random walks is also
clarified.
Key words: quantum
random walk, the Hadamard walk, limit theorems, absorption |
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