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Mathematics
Functional Analysis
On decomposability of positive maps between M 2 and M n
Wladyslaw A. Majewski
,
Marcin Marciniak
Abstract
A map $\phi:M_m(\bC)\to M_n(\bC)$ is decomposable if it is of the form ϕ= ϕ 1 + ϕ 2 where ϕ 1 is a CP map while ϕ 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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Submitted on 7 Oct 2005
Updated
arXiv.org
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