Complete positivity of the map from a basis to its dual basis

DOI10.1063/1.4812329zbMath1296.47034arXiv1212.4787OpenAlexW3100809121MaRDI QIDQ5407603

Fred Shultz, Vern I. Paulsen

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4787

zbMATH Keywords

complete positivityorder isomorphismmatrix ordered spacecomplete order isomorphismdual matrix ordered space

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Quantum measurement theory, state operations, state preparations (81P15) Positive linear operators and order-bounded operators (47B65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Convex sets and cones of operators (47L07)

Related Items (7)

Complete Positivity of Two Class of Maps Involving Depolarizing and Transpose-Depolarizing Channels ⋮ Choi matrices revisited ⋮ Choi matrices revisited. II ⋮ Decompositions of completely bounded maps into completely positive maps involving trace class operators ⋮ The structural physical approximation conjecture ⋮ Extension properties of some completely positive maps ⋮ Compositions and tensor products of linear maps between matrix algebras

Cites Work

• Completely positive linear maps on complex matrices
• Linear transformations which preserve trace and positive semidefiniteness of operators
• Isometries of operator algebras
• Operator system structures on ordered spaces
• Unnamed Item

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