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The extreme points of SU(2)-irreducibly covariant channels

M. Al Nuwairan

Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada

https://doi.org/10.1142/S0129167X14500487Cited by:14 (Source: Crossref)

Abstract

In this paper, we introduce EPOSIC channels, a class of SU(2)-covariant quantum channels. For each of them, we give a Kraus representation, its Choi matrix, a complementary channel, and its dual map. We show that they are the extreme points of all SU(2)-irreducibly covariant channels. As an application of these channels, we get an example of a positive map that is not completely positive.

Keywords:

AMSC: 94A40, 20C35

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