Spectral conditions for positive maps

Details Spectral conditions for positive maps Spectral conditions for positive maps

2008-09-29

arxiv.org/abs/0809.4909v1

Comm. Math. Phys. 290, 1051 (2009).

Physics

Quantum Physics

14 pages

Scientific paper

10.1007/s00220-009-0790-8

We provide a partial classification of positive linear maps in matrix algebras which is based on a family of spectral conditions. This construction generalizes celebrated Choi example of a map which is positive but not completely positive. It is shown how the spectral conditions enable one to construct linear maps on tensor products of matrix algebras which are positive but only on a convex subset of separable elements. Such maps provide basic tools to study quantum entanglement in multipartite systems.

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