LIMIT THEOREMS FOR QUANTUM WALKS DRIVEN BY MANY COINS

被引：28

作者：

Segawa, Etsuo ^{[1
]}

Konno, Norio ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2008年 / 6卷 / 06期

关键词：

Quantum walks; limit theorem; many coins;

D O I：

10.1142/S0219749908004456

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We obtain some rigorous results on limit theorems for quantum walks driven by many coins introduced by Brun et al. in the long time limit. The results imply that whether the behavior of a particle is quantum or classical depends on the three factors: the initial qubit, the number of coins M, d = [t/M], where t is time step. Our main theorem shows that we can see a transition from classical behavior to quantum one for a class of three factors.

引用

页码：1231 / 1243

页数：13

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