On k-decomposability of positive maps

Details On k-decomposability of positive maps On k-decomposability of positive maps

2003-06-05

arxiv.org/abs/math-ph/0306017v1

Physics

Mathematical Physics

23 pages

Scientific paper

We extend the theory of decomposable maps by giving a detailed description of
k-positive maps. A relation between transposition and modular theory is
established. The structure of positive maps in terms of modular theory (the
generalized Tomita-Takesaki scheme) is examined.

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