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The extreme points of SU(2)-irreducibly covariant channels
Journal article   Peer reviewed

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

M Al Nuwairan
International journal of mathematics, Vol.25(6), pp.1450048-1-1450048-30
06/2014
DOI: https://doi.org/10.1142/S0129167X14500487

Abstract

Kraus operators complementary channel Covariant quantum channels Choi matrix
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.

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