The extreme points of SU(2)-irreducibly covariant channels

DOI10.1142/S0129167X14500487zbMath1321.81012OpenAlexW2033205677MaRDI QIDQ2874677

Muneerah Al Nuwairan

Publication date: 8 August 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14500487

zbMATH Keywords

complementary channelKraus operatorsChoi matrixcovariant quantum channels

Mathematics Subject Classification ID

Quantum computation (81P68) Semisimple Lie groups and their representations (22E46) Applications of group representations to physics and other areas of science (20C35) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (9)

A covariant Stinespring theorem ⋮ Highly entangled, non-random subspaces of tensor products from quantum groups ⋮ Temperley-Lieb quantum channels ⋮ Irreducibly SU(2)-covariant quantum channels of low rank ⋮ Asymptotic analysis for \(O_N^+\)-Temperley-Lieb quantum channels ⋮ Quantum informational properties of the Landau–Streater channel ⋮ Entanglement and the Temperley-Lieb category ⋮ Wehrl-type coherent state entropy inequalities for \(\mathrm{SU}(1,1)\) and its \(AX+B\) subgroup ⋮ Quantum channels with quantum group symmetry

Cites Work

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• Completely positive linear maps on complex matrices
• A note on covariant dynamical semigroups
• Linear transformations which preserve trace and positive semidefiniteness of operators
• Lie groups. An approach through invariants and representations
• Complementary Channels and the Additivity Problem
• ADDITIVITY CONJECTURE AND COVARIANT CHANNELS
• Quantum information theory

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