CLONING AND BROADCASTING IN OPERATOR ALGEBRAS

被引：7

作者：

Kaniowski, Krzysztof ^{[1
]}

Lubnauer, Katarzyna ^{[1
]}

Luczak, Andrzej ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2015年 / 66卷 / 01期

关键词：

SEMIGROUPS; SUFFICIENCY; STATES; CANNOT;

D O I：

10.1093/qmath/hau028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate cloning and broadcasting in the general operator algebra framework in arbitrary dimension, generalizing thus results obtained so far in finite dimension, and for the full algebra of operators on a Hilbert space. Moreover, we also weaken the assumption of complete positivity of the broadcasting (cloning) operation. It turns out that some results can be expressed in terms of modular theory for W*-algebras, in particular, the Connes cocycles are used for a characterization of broadcastability.

引用

页码：191 / 211

页数：21