Tensor Fields on Orbits of Quantum States and Applications - Couverture souple

Volkert, Georg F.

 
9783838120539: Tensor Fields on Orbits of Quantum States and Applications

Synopsis

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.

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Présentation de l'éditeur

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.

Biographie de l'auteur

graduated under Prof. D.Dürr in physics at the TU München 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 München.

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