The analogue of Choi matrices for a class of linear maps on Von Neumann algebras

DOI10.1142/S0129167X15500184zbMath1329.46058arXiv1412.8598OpenAlexW2964205376MaRDI QIDQ4983030

Erling Størmer

Publication date: 14 April 2015

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

Full work available at URL: https://arxiv.org/abs/1412.8598

zbMATH Keywords

von Neumann algebraslinear mapChoi matrices

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Linear transformations, semilinear transformations (15A04) Classification of factors (46L36)

Related Items

Cones of completely bounded maps ⋮ Gleason’s theorem for composite systems ⋮ Choi matrices revisited. II ⋮ Channel divergences and complexity in algebraic QFT ⋮ On the structure of the set of positive maps ⋮ Detailed balance as a quantum-group symmetry of Kraus operators ⋮ Infinite dimensional generalizations of Choi's theorem ⋮ Compositions and tensor products of linear maps between matrix algebras

Cites Work

• Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions
• Completely positive linear maps on complex matrices
• Linear transformations which preserve trace and positive semidefiniteness of operators
• Positive Linear Maps of Operator Algebras

This page was built for publication: The analogue of Choi matrices for a class of linear maps on Von Neumann algebras