On the extreme points of quantum channels

DOI10.1016/j.laa.2016.02.001zbMath1334.15086arXiv1309.5898OpenAlexW2963782325MaRDI QIDQ269306

Raphael Loewy, Shmuel Friedland

Publication date: 18 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5898

zbMATH Keywords

extreme pointquantum channeladditivity conjectures

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Positive linear operators and order-bounded operators (47B65) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40)

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On the convex characterisation of the set of unital quantum channels ⋮ The Collatz-Wielandt quotient for pairs of nonnegative operators. ⋮ Infinite dimensional generalizations of Choi's theorem ⋮ Smooth manifold structure for extreme channels

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