Disordered quantum walks in one lattice dimension
نویسندگان
چکیده
منابع مشابه
Quantum Random Walks in One Dimension
Abstract. This letter treats the quantum random walk on the line determined by a 2 × 2 unitary matrix U . A combinatorial expression for the mth moment of the quantum random walk is presented by using 4 matrices, P,Q,R and S given by U . The dependence of the mth moment on U and initial qubit state φ is clarified. A new type of limit theorems for the quantum walk is given. Furthermore necessary...
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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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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.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2011
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3643768