Indecomposable positive linear maps constructed from permutations

DOI10.1080/03081087.2015.1036000zbMath1335.15041OpenAlexW2186545755MaRDI QIDQ2789423

Xin Li, Xiao Chun Fang

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1036000

zbMATH Keywords

cyclepermutationindecomposablepositive linear mapatomic\(D\)-type positive linear maps

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) General theory of (C^*)-algebras (46L05) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (1)

New examples of extremal positive linear maps

Cites Work

• Positive semidefinite biquadratic forms
• Positive maps of low dimensional matrix algebras
• A class of atomic positive linear maps in matrix algebras
• Separability of mixed states: necessary and sufficient conditions.
• Atomic positive linear maps in matrix algebras
• A class of generalized positive linear maps on matrix algebras
• Positive finite rank elementary operators and characterizing entanglement of states
• Quantum entanglement
• A class of positive atomic maps
• Duality for positive linear maps in matrix algebras
• Indecomposable Positive Maps in Matrix Algebras
• FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT
• On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps

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