Incomplete Entanglement: consequences for the QZE

TL;DR

This paper demonstrates that the Quantum Zeno Effect can occur even with incomplete entanglement, and reveals that the transition probability can decrease faster than usual under certain measurement couplings.

Contribution

It shows that the Quantum Zeno Effect persists with partial entanglement and uncovers unexpected dynamics in transition probabilities based on measurement coupling.

Findings

QZE occurs despite incomplete entanglement

Transition probability can decrease faster than normal QZE

Dynamics depend on measurement coupling strength

Abstract

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.