Quaternary lithostratigraphic units (Belgium)

The lithostratigraphic classification of the Quatemary deposits is based on the genesis of the sediments. The distinguished environments are marine -estuarine, fluvial, eolian and slope. The marine -estuarine deposits are restricted to certain time-intervals within the Quatemary and are limited to the northern part of Belgium. Fluvial deposits are found throughout the Quatemary. On the basis of the sedimentological -lithological differentials within the Meuse basin and the Schelde basin a bipartite subdivision of the fluvial deposits is introduced. Eolian deposits are differentiated on the basis of their grain size distribution, namely sand and silt. The sandy deposits are accumulated in the northern part of Belgium, whereas loess is deposited in the more southern part of the country. Slope deposits are not restricted regionally neither temporally

Normal forms and entanglement measures for multipartite quantum states

A general mathematical framework is presented to describe local equivalence classes of multipartite quantum states under the action of local unitary and local filtering operations. This yields multipartite generalizations of the singular value decomposition. The analysis naturally leads to the introduction of entanglement measures quantifying the multipartite entanglement (as generalizations of the concurrence and the 3-tangle), and the optimal local filtering operations maximizing these entanglement monotones are obtained. Moreover a natural extension of the definition of GHZ-states to e.g. $2\times 2\times N$ systems is obtained.Comment: Proof of uniqueness of normal form adde