Complex projections of completely positive quaternionic maps

被引：5
|
作者：
Asorey, M. [1 ]
Scolarici, G.
Solombrino, L.
机构：
[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain
[2] Univ Lecce, Dipartimento Fis, Ist Nazl Fis Nucl, Sez Lecce, I-73100 Lecce, Italy
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2007年 / 151卷 / 03期
关键词：
open quantum system; positive map; quaternion;
D O I：
10.1007/s11232-007-0059-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that the complex projection of a completely positive quaternionic map of quaternionic density matrices is a positive map in the space of complex density matrices, and we briefly outline some of its properties. To illustrate this result, we study the complex projection of a one-parameter quaternionic unitary dynamics of a spin-1/2 quantum system.
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页码：735 / 743
页数：9
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