On positive linear maps between matrix algebras
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Publication:1087962
DOI10.1016/0024-3795(86)90290-9zbMath0612.15012OpenAlexW2071434685MaRDI QIDQ1087962
Publication date: 1986
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(86)90290-9
counterexamplecompletely positive linear mapdecomposablestrong Kadison inequalitycompletely copositive linear map
Endomorphism rings; matrix rings (16S50) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)
Related Items (15)
Entanglement Witnesses Arising from Exposed Positive Linear Maps ⋮ Geometry of Entanglement Witnesses for Two Qutrits ⋮ Construction of exposed indecomposable positive linear maps between matrix algebras ⋮ When do composed maps become entanglement breaking? ⋮ Unnamed Item ⋮ Geometry of quantum states: new construction of positive maps ⋮ Decomposable Pauli diagonal maps and tensor squares of qubit maps ⋮ Generalizing Choi-like maps ⋮ 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 ⋮ On positive decomposable maps ⋮ Entangled states with positive partial transposes arising from indecomposable positive linear maps ⋮ On completely copositive and decomposable linear transformations ⋮ Positive maps from irreducibly covariant operators ⋮ Indecomposable positive maps in low dimensional matrix algebras
Cites Work
- The strong Kadison inequality of Woronowicz
- Completely positive linear maps on complex matrices
- Positive semidefinite biquadratic forms
- Nonextendible positive maps
- Positive maps of low dimensional matrix algebras
- A note on biquadratic forms
- Schwarz inequalities and the decomposition of positive maps on C*-algebras
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