Composite Q-system, pure state

Abstract

Even the simplest q-systems cannot exhaustively be discussed without the concept of composite systems. As we shall see, the reason is q-correlations between otherwise independent q-systems. While classical correlations permit separate treatment of local systems, q-correlations will only permit this with particular limitations. The mathematics of composite q-systems will be introduced from the aspect of q-correlations (entanglements). The reader may learn three historical instances of q-correlation. Two genuine q-informatic applications based on q-correlations will close the chapter. © 2011 Springer-Verlag Berlin Heidelberg.