Physics – Mathematical Physics
Scientific paper
2009-04-29
J.Phys.A42:345301,2009
Physics
Mathematical Physics
26 pages, 6 figures
Scientific paper
10.1088/1751-8113/42/34/345301
We consider transformation maps on the space of states which are symmetries in the sense of Wigner. Due to the convex nature of the space of states, the set of these maps has a convex structure. We investigate the possibility of a complete characterization of extreme maps of this convex body, to be able to contribute to the classification of positive maps. Our study provides a variant of Wigner's theorem originally proved for ray transformations in Hilbert spaces.
Grabowski Janusz
Kus Marek
Marmo Giuseppe
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