Incomplete Entanglement: consequences for the QZE
  We show that the Quantum Zeno Effect prevails even if the entanglement with the measuring probe is not complete. The dynamics towards the asymptotic regime as a function of $N$, the number of measurements, reveals surprising results: the transition probability, for some values of the coupling to the measuring probe, may decrease much faster than the normal QZE. 
R. Rossi Jr., A. R. Bosco de Magalhaes and M. C. Nemes