Absorption Problems for Quantum Walks in One Dimension
نویسندگان
چکیده
This paper treats absorption problems for the one-dimensional quantum walk determined by a 2 × 2 unitary matrix U on a state space {0, 1, . . . , N} where N is finite or infinite by using a new path integral approach based on an orthonormal basis P,Q,R and S of the vector space of complex 2× 2 matrices. Our method studied here is a natural extension of the approach in the classical random walk.
منابع مشابه
Limit theorems and absorption problems for quantum random walks in one dimension
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 × 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.
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This paper treats absorption problems for the one-dimensional quantum random walk determined by a 2× 2 unitary matrix U on a state space {0, 1, . . . ,N} where N is finite or infinite by using a new path integral approach based on an orthonormal basis P,Q,R and S of the vector space of complex 2× 2 matrices. Our method studied here is a natural extension of the approach in the classical random ...
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تاریخ انتشار 2002