$k$-decomposability of positive maps

Details $k$-decomposability of positive maps $k$-decomposability of positive maps

2004-11-04

arxiv.org/abs/quant-ph/0411035v1

Physics

Quantum Physics

9 pages

Scientific paper

The problem of classification of decomposable (in the sense of Stormer) positive maps between matrix algebras is presented. We propose the new notion of "finite" version of decomposability ($k$-decomposabilty). The characterisation of $k$-decomposability on the Hilbert space level is done. In the case of low dimensional algebras the notion of local decomposability and its applications for the description of decomposable maps are discussed.

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