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In this paper we introduce EPOSIC channels, a class of SU(2)-covariantquantum channels. We give their definition, a Kraus representation of them, andcompute their Choi matrices. We show that these channels form the set ofextreme points of all SU(2)-irreducibly covariant channels. We also computetheir complementary channels, and their dual maps. As application of thesechannel, we get a new example of positive map that is not completely positive.

SU(2)-Irreducibly covariant and EPOSIC channels