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Irreducibly SU(2)-covariant quantum channels of low rank

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Authors

Chang, Euijung; Kim, Jaeyoung; Kwak, Hyesun; Lee, Hun Hee; Youn, Sang-Gyun

Issue Date
2022-08
Publisher
World Scientific Publishing Co
Citation
Reviews in Mathematical Physics, Vol.34 No.07, p. 2250021
Abstract
We investigate information theoretic properties of low rank (less than or equal to 3) quantum channels with SU(2)-symmetry, where we have a complete description. We prove that PPT property coincides with entanglement-breaking property and that degradability seldomly holds in this class. In connection with these results, we will demonstrate how we can compute Holevo and coherent information of those channels. In particular, we exhibit a strong form of additivity violation of coherent information, which resembles the superactivation of coherent information of depolarizing channels.
ISSN
0129-055X
URI
https://hdl.handle.net/10371/185688
DOI
https://doi.org/10.1142/S0129055X22500210
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College of Education (사범대학)Dept. of Mathematics Education (수학교육과)Journal Papers (저널논문_수학교육과)
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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