Eventually entanglement breaking quantum dynamics and eventual EB-divisibility

Abstract

A new concept of eventually entanglement breaking divisible (eEB-divisible) dynamics is introduced. A dynamical map is eEB-divisible if any propagator becomes entanglement breaking in finite time. It turns out that any completely positive dynamical semigroup with a unique faithful stationary state enjoys this property. Interestingly, it is shown that eEB-divisibility is quite general and holds for a pretty large class of quantum evolutions.