On decomposability of positive maps between $M_2$ and $M_n$

Details On decomposability of positive maps between $M_2$ and $M_n$ On decomposability of positive maps between $M_2$ and $M_n$

2005-10-07

arxiv.org/abs/math/0510138v1

Mathematics

Functional Analysis

7 pages

Scientific paper

A map $\phi:M_m(\bC)\to M_n(\bC)$ is decomposable if it is of the form
$\phi=\phi_1+\phi_2$ where $\phi_1$ is a CP map while $\phi_2$ is a co-CP map.
A partial characterization of decomposability for maps $\phi: M_2(\bC) \to
M_3(\bC)$ is given.

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