I have recently seen some presentation slides of Michał Horodecki (slide number 77) in which he discussed the following conjecture.
Bound entangled states satisfy all Bell inequalities
The conjecture is not true for multi-partite systems, and the references are given in the talk itself. I believe by now, the bipartite case is also settled, one way or the other.
Bell theorem has some applications in computer science areas, like cryptography (non-local games). Is there some similar application of the (falsification of) the above conjecture? I mean, what are the interesting applications which can take place by disproving the above conjecture? Advanced thanks for any help/suggestions.
To the Moderators: I do not know, whether I should have asked this question in Physics or in Cstheory. Considering the fact that there can be physical applications also, I am posted the question here. Please suggest and/or take the required actions.