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

Autor:	Chang, Euijung, Kim, Jaeyoung, Kwak, Hyesun, Lee, Hun Hee, Youn, Sang-Gyun
Rok vydání:	2021
Předmět:	Mathematical Physics Quantum Physics 81P45 20C35 46N50
Druh dokumentu:	Working Paper
DOI:	10.1142/S0129055X22500210
Popis:	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. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.00709 Zobrazit plný text záznamu View this record from Arxiv