Structure of the algebra generated by a noncommutative operator graph which demonstrates the superactivation phenomenon for zero-error capacity

DOI10.1134/S000143461605031XzbMath1348.81129MaRDI QIDQ325562

I. Yu. Zhdanovskii, Grigori G. Amosov

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebraquantum statequantum channelKraus operatornoncommutative operator graphsuperactivation phenomenon

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Applications of selfadjoint operator algebras to physics (46L60) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) States of selfadjoint operator algebras (46L30) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (3)

On noncommutative operator graphs generated by resolutions of identity ⋮ Algebraic methods of the study of quantum information transfer channels ⋮ On capacity of quantum channels generated by irreducible projective unitary representations of finite groups

Cites Work

• Quantum systems, channels, information. A mathematical introduction.
• On channels with positive quantum zero-error capacity having vanishing \(n\)-shot capacity
• On superactivation of zero-error capacities and reversibility of a quantum channel
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• Quantum Communication with Zero-Capacity Channels

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