On non-commutative operator graphs generated by reducible unitary representation of the Heisenberg-Weyl group

DOI10.1007/s10773-018-3963-4OpenAlexW2902150845WikidataQ128896377 ScholiaQ128896377MaRDI QIDQ2241034

A. S. Mokeev, Grigori G. Amosov

Publication date: 5 November 2021

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02515

zbMATH Keywords

quantum anticliquescovariant resolution of identitynon-commutative operator graph

Mathematics Subject Classification ID

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

Related Items (6)

Unnamed Item ⋮ Non-commutative graphs and quantum error correction for a two-mode quantum oscillator ⋮ Non-commutative graphs in the Fock space over one-particle Hilbert space ⋮ On errors generated by unitary dynamics of bipartite quantum systems ⋮ On linear structure of non-commutative operator graphs ⋮ On noncommutative operator graphs generated by resolutions of identity

Cites Work

• Quantum systems, channels, information. A mathematical introduction.
• On channels with positive quantum zero-error capacity having vanishing \(n\)-shot capacity
• On general properties of non-commutative operator graphs
• On construction of anticliques for noncommutative operator graphs
• On non-commutative operator graphs generated by covariant resolutions of identity
• 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
• Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel
• A “quantum” Ramsey theorem for operator systems
• Unnamed Item

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