Coherent states measurement entropy

Coherent states (CS) quantum entropy can be split into two components. The dynamical entropy is linked with the dynamical properties of a quantum system. The measurement entropy, which tends to zero in the semiclassical limit, describes the unpredictability induced by the process of a quantum approximate measurement. We study the CS-measurement entropy for spin coherent states defined on the sphere discussing different methods dealing with the limit: time tends to infinity. In particular, we propose an effective technique of computing the entropy by iterated function systems. The dependence of CS-measurement entropy on the character of the partition of the phase space is analysed.