On errors generated by unitary dynamics of bipartite quantum systems

DOI10.1134/S1995080220120069zbMath1457.81020arXiv2008.00290OpenAlexW3126343097MaRDI QIDQ2225812

A. S. Mokeev, Grigori G. Amosov

Publication date: 11 February 2021

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

Full work available at URL: https://arxiv.org/abs/2008.00290

zbMATH Keywords

symmetric Fock spacenon-commutative operator graphsquantum anticliquescovariant resolution of identity

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Vector-valued measures and integration (46G10) Bergman spaces and Fock spaces (30H20) Orthogonal and unitary groups in metric geometry (51F25) Computational stability and error-correcting codes for quantum computation and communication processing (81P73) Quantum channels, fidelity (81P47)

Related Items (3)

On the construction of a quantum channel corresponding to non-commutative graph for a qubit interacting with quantum oscillator ⋮ On the counting of quantum errors ⋮ The extension of unital completely positive semigroups on operator systems to semigroups on \(C^*\)-algebras

Cites Work

• Quantum systems, channels, information. A mathematical introduction.
• Injectivity and operator spaces
• On non-commutative operator graphs generated by covariant resolutions of identity
• On non-commutative operator graphs generated by reducible unitary representation of the Heisenberg-Weyl group
• On linear structure of non-commutative operator graphs
• On superactivation of zero-error capacities and reversibility of a quantum channel
• Non-commutative graphs and quantum error correction for a two-mode quantum oscillator
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• A “quantum” Ramsey theorem for operator systems
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