We explain this apparent paradox in the physical ensemble description of the system state by introducing the concept of ‘‘hidden’’ entanglement, which indicates the amount of entanglement that cannot be exploited due to the lack of classical information on the system. For this reason this part of entanglement can be recovered without the action of non-local operations or back-transfer process.
Article Recovering Entanglement by Local Operations
Dear Antonio D'Arrigo
I think the paper ""Physical Review A, 86, 062316 (2012)""
can help you
Best
Sounds a bit weird. How are you measuring entanglement? I use to know that one of the required properties of entanglement measures is to be not increasing under LOCC...
@ C.-S. Yu: It is not a false, please read Annals of Physics 350 211–224 (2014), Here a very simple example (section 3) shows how it is possible.
@Fabio Gentile, you are right. Could I suggest you to read the above article? Anyway, Bennett's theorem is not violated, since *in the time interval* in which entanglement revives, the operation acting on the system, although it is local, it is not Completely Positive, see also A. Rivas, S.F. Huelga, M.B. Plenio, Phys. Rev. Lett. 105 (2010) 050403.
@ N. Doostimotlagh: thank you, I will read this article.
In the example you cited, it is a matter of fact that entanglement decreases up to a time t* and then it starts to increase, without any non-local operation or any back-transfer of entanglement (you can view it by plotting the entanglement of formation for example).
In this example, I don't think the entanglement is recovered. Since the information of your ensemble is erased when you consider the entanglement (at time t*). When you want to recover the entanglement, in my opinion the erased information should not be imposed again on the initial state with entanglement to be recovered.
This is the point, the information is not erased, since the dynamics is not markovian. This information is not (obviously) imposed again on the state, but is naturally retrieved during the system dynamics. You can also look at the appendix A.1.1 or International Journal of Quantum Information Vol. 12, No. 2 (2014) 1461005.
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