Extension properties of some completely positive maps

DOI10.1080/03081087.2016.1238032zbMath1459.47015OpenAlexW2525409694MaRDI QIDQ4975115

Yuan Li, Xiu-Hong Sun

Publication date: 3 August 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1238032

zbMATH Keywords

completely positive mapstrace-class operatorsextension properties

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Positive matrices and their generalizations; cones of matrices (15B48) Abstract operator algebras on Hilbert spaces (47L30) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

Decompositions of completely bounded maps into completely positive maps involving trace class operators

Cites Work

• Interpolations of entanglement breaking channels and equivalent conditions for completely positive maps
• General state changes in quantum theory
• Choi matrices, norms and entanglement associated with positive maps on matrix algebras
• Completely positive linear maps on complex matrices
• Norm inequalities of positive operator matrices
• Separable states and the structural physical approximation of a positive map
• Completely positive interpolations of compact, trace-class and Schatten-\(p\) class operators
• Subalgebras of \(C^ *\)-algebras
• Operator system structures on ordered spaces
• Interpolation by completely positive maps
• A characterization of positive linear maps and criteria of entanglement for quantum states
• Positive Linear Maps of Operator Algebras
• Entanglement Breaking Channels
• Complete positivity of the map from a basis to its dual basis

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