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A completely PPT map

Article ID Journal Published Year Pages File Type
4599495 Linear Algebra and its Applications 2014 7 Pages PDF
Abstract

A map is completely PPT if it is completely positive and the resulting matrix is positive partial transpose (PPT). We show that the map Φ:X↦X+(TrX)I is completely PPT. Some interesting consequences are included.

Keywords
15A4547B65Block matricesInequalityCompletely positive map
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
A completely PPT map
Authors
Minghua Lin,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A45
47B65
Block matrices
Inequality
Completely positive map
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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Journal of Symbolic Computation
Expositiones Mathematicae
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