The role of covariancy in calculating capacity of quantum channels generated by projective unitary representations of non-abelian groups

DOI10.1134/s1995080224603102MaRDI QIDQ6648976

L. A. Ryskin, Grigori G. Amosov

Publication date: 5 December 2024

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

zbMATH Keywords

normal subgroupprojective unitary representationnon-abelian groupmixed unitary channel

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Communication, information (94Axx) Quantum theory (81-XX)

Cites Work

• On capacity of quantum channels generated by irreducible projective unitary representations of finite groups
• On the construction of a quantum channel corresponding to non-commutative graph for a qubit interacting with quantum oscillator
• On classical capacity of Weyl channels
• The capacity of the quantum depolarizing channel
• Additivity of the classical capacity of entanglement-breaking quantum channels
• Additivity for unital qubit channels
• Structure of irreducibly covariant quantum channels for finite groups
• On controllability of \(\Lambda \)- and \(V\)-atoms and other three-level systems with two allowed transitions

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