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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 8: Quanten-Informationstheorie

MP 8.1: Vortrag

Donnerstag, 6. März 2008, 17:00–17:20, KGI-HS 1023

A not-so-normal mode decomposition — •Michael Wolf — Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str.1, 85748 Garching

We provide a generalization of the normal mode decomposition for non-symmetric or locality constrained situations. This allows for instance to locally decouple a bipartitioned collection of arbitrarily correlated oscillators up to elementary pairs into which all correlations are condensed. Similarly, it enables us to decouple the interaction parts of multi-mode channels into single-mode and pair-interactions where the latter are shown to be a clear signature of squeezing between system and environment. In mathematical terms the result is a canonical matrix form with respect to real symplectic equivalence transformations. Applications in quantum information theory are outlined.