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

DOI10.1142/S0129055X22500210MaRDI QIDQ5104565

Hyesun Kwak, Sang-Gyun Youn, Euijung Chang, Hun Hee Lee, Jae-Young Kim

Publication date: 14 September 2022

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00709

zbMATH Keywords

quantum channelcoherent informationHolevo information\(SU(2)\)-symmetrydegradabilityentanglement-breaking property

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Applications of group representations to physics and other areas of science (20C35) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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Orbit-injective covariant quantum channels ⋮ Zero-error correctibility and phase retrievability for twirling channels

Cites Work

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• A note on the SU(2) Bloch coherent states
• The capacity of a quantum channel for simultaneous transmission of classical and quantum information
• Proof of an entropy conjecture for Bloch coherent spin states and its generalizations
• Quantum channels with quantum group symmetry
• Temperley-Lieb quantum channels
• The extreme points of SU(2)-irreducibly covariant channels
• Additivity of the classical capacity of entanglement-breaking quantum channels
• The structure of degradable quantum channels
• Structure of irreducibly covariant quantum channels for finite groups
• Positive maps from irreducibly covariant operators