"Superluminal" transmission via entanglement, superoscillations, and quasi-Dirac distributions

We analyze a system in which, due to entanglement between the spin and spatial degrees of freedom, the reduced transmitted state has the shape of the freely propagating pulse translated in the complex coordinate plane. In the case an apparently "superluminal" advancement of the pulse, the delay amplitude distribution is found to be a peculiar approximation to the Dirac delta function, and the transmission coefficient exhibits a well-defined superoscillatory window. Analogies with potential tunneling and Wheeler's delayed choice experiment are highlighted.