English

SU(2)-Irreducibly covariant and EPOSIC channels

Mathematical Physics 2013-06-25 v1 math.MP

Abstract

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

Keywords

Cite

@article{arxiv.1306.5321,
  title  = {SU(2)-Irreducibly covariant and EPOSIC channels},
  author = {Muneerah Al Nuwairan},
  journal= {arXiv preprint arXiv:1306.5321},
  year   = {2013}
}