Absorption problems for quantum walks in one dimension

被引：20

作者：

Konno, N ^{[1
]}

Namiki, T

Soshi, T

Sudbury, A

机构：

[1] Yokohama Natl Univ, Dept Appl Math, Fac Engn, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan

[2] Hokkaido Univ, Div Math, Grad Sch Sci, Kita Ku, Sapporo, Hokkaido 0600810, Japan

[3] Monash Univ, Dept Math & Stat, Clayton, Vic 3168, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 01期

关键词：

D O I：

10.1088/0305-4470/36/1/316

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper treats absorption problems for the one-dimensional quantum walk determined by a 2 x 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 x 2 matrices. Our method studied here is a natural extension of the approach in the classical random walk.

引用

页码：241 / 253

页数：13

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