On a characterization of positive maps
- 16 July 2001
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 34 (29) , 5863-5874
- https://doi.org/10.1088/0305-4470/34/29/308
Abstract
Drawing on results of Choi, Størmer and Woronowicz, we present a nearly complete characterization of certain important classes of positive maps. In particular, we construct a general class of positive linear maps acting between two matrix algebras ℬ() and ℬ(), where and are finite-dimensional Hilbert spaces. It turns out that elements of this class are characterized by operators from the dual cone of the set of all separable states on ℬ(⊗). Subsequently, the relation between entanglements and positive maps is described. Finally, a new characterization of the cone ℬ()+⊗ℬ()+ is given.Keywords
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