  The Quantum Null Energy Condition (QNEC) is a new local energy condition that
a general Quantum Field Theory (QFT) is believed to satisfy, relating the
classical null energy condition (NEC) to the second functional derivative of
the entanglement entropy in the corresponding null direction. We present the
first series of explicit computations of QNEC in a strongly coupled QFT, using
holography. We consider the vacuum, thermal equilibrium, a homogeneous
far-from-equilibrium quench as well as a colliding system that violates NEC.
For vacuum and the thermal phase QNEC is always weaker than NEC. While for the
homogeneous quench QNEC is satisfied with a finite gap, we find the interesting
result that the colliding system can saturate QNEC, depending on the null
direction.
