STATIONARY MEASURE FOR THREE-STATE QUANTUM WALK

被引：0

作者：

Endo, Takako ^{[1
]}

Komatsu, Takashi ^{[2
]}

Konno, Norio ^{[1
]}

Terada, Tomoyuki ^{[3
]}

机构：

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

[2] Kanagawa Univ, Fac Sci, Dept Math & Phys, 2946 Tsuchiya, Hiratsuka, Kanagawa 2591293, Japan

[3] Kanazawa Inst Technol, Off Promoting Cocreat Educ Adm Off, Nonoichi, Ishikawa 9218501, Japan

来源：

QUANTUM INFORMATION & COMPUTATION | 2019年 / 19卷 / 11-12期

基金：

日本学术振兴会;

关键词：

quantum walk; stationary measure; transfer matrix; quantum probability; classification; LIMIT-THEOREMS; SPACE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We focus on the three-state quantum walk(QW) in one dimension. In this paper, we give the stationary measure in general condition, originated from the eigenvalue problem. Firstly, we get the transfer matrices by our new recipe, and solve the eigenvalue problem. Then we obtain the general form of the stationary measure for concrete initial state and eigenvalue. We also show some specific examples of the stationary measure for the three-state QW. One of the interesting and crucial future problems is to make clear the whole picture of the set of stationary measures.

引用

页码：901 / 912

页数：12

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