On a Class of Quantum Channels, Open Random Walks and Recurrence

被引：24

作者：

Lardizabal, Carlos F. ^{[1
]}

Souza, Rafael R. ^{[1
]}

机构：

[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil

来源：

JOURNAL OF STATISTICAL PHYSICS | 2015年 / 159卷 / 04期

关键词：

Quantum channel; Completely positive map; Quantum random walk; Recurrence; Markov chain; OPERATIONS; THEOREM;

D O I：

10.1007/s10955-015-1217-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combining open quantum random walks with a notion of recurrence, we are able to describe criteria for recurrence of the walk related to this class of channels. Positive recurrence for open walks is also discussed in this context.

引用

页码：772 / 796

页数：25