Affiliation:
1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, Canada
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.
Publisher
World Scientific Pub Co Pte Lt
Cited by
8 articles.
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1. A covariant Stinespring theorem;Journal of Mathematical Physics;2022-09-01
2. Irreducibly SU(2)-covariant quantum channels of low rank;Reviews in Mathematical Physics;2022-06-01
3. Quantum Channels with Quantum Group Symmetry;Communications in Mathematical Physics;2022-01-06
4. Asymptotic analysis for $$O_N^+$$-Temperley–Lieb quantum channels;Quantum Information Processing;2021-09
5. Temperley–Lieb Quantum Channels;Communications in Mathematical Physics;2020-05-05