A quasi-local measure of quantum entanglement

In this talk, we shall introduce a quasi-local measure of quantum entanglement. It will be defined in terms of infinitesimal variations of the generating points, of the domain of dependence, associated with the subsystem, whose entanglement, we monitor. Restricting our attention to 1+1 and 2+1 dimensions, we will find that the condition of strongsubadditivity requires this quantity to be positive semi-definite. Moving on to the holographic context, we will relate this inequality with the null energy condition in the bulk (at the linearised level).