Extremal covariant quantum operations and positive operator valued measures

被引：22

作者：

D'Ariano, GM

机构：

[1] Dipartimento Fis A Volta, Ist Nazl Fis Mat, Unita Pavia, QUIT Grp, I-27100 Pavia, Italy

[2] Northwestern Univ, Dept Elect & Comp Engn, Evanston, IL 60208 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2004年 / 45卷 / 09期

关键词：

D O I：

10.1063/1.1777813

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the convex sets of QO's (quantum operations) and POVM's (positive operator valued measures) which are covariant under a general finite-dimensional unitary representation of a group. We derive necessary and sufficient conditions for extremality, and give general bounds for ranks of the extremal POVM's and QO's. Results are illustrated on the basis of simple examples. (C) 2004 American Institute of Physics.

引用

页码：3620 / 3635

页数：16

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