On classical Lie groups, which act by means of a unitary representation on finite dimensional Hilbert spaces, quantum state dependent tensor field constructions are considered. While evading the traditional ambiguity on defining metrical structures on the convex set of mixed states, one can show that these tensor field constructions allow an alternative approach to the problem of deciding whether a given state in a n-level bi-partite quantum system is entangled or separable.

About the Author

graduated under Prof. D.D�rr in physics at the TU M�nchen in 2006. He received a DAAD scholarship for a research collaboration with the University of Naples Federico II in 2008, where he studied two years under Prof. G. Marmo. In 2010 he got a Ph.D in mathematical physics at the LMU M�nchen.

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